# zbMATH — the first resource for mathematics

## Pure and Applied Mathematics Quarterly

 Short Title: Pure Appl. Math. Q. Publisher: International Press of Boston, Somerville, MA ISSN: 1558-8599; 1558-8602/e Online: http://intlpress.com/site/pub/pages/journals/items/pamq/_home/_main/ Comments: Indexed cover-to-cover
 Documents Indexed: 613 Publications (since 2005)
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#### Latest Issues

 17, No. 3 (2021) 17, No. 2 (2021) 17, No. 1 (2021) 16, No. 5 (2020) 16, No. 4 (2020) 16, No. 3 (2020) 16, No. 2 (2020) 16, No. 1 (2020) 15, No. 3 (2020) 15, No. 4 (2019) 15, No. 2 (2019) 15, No. 1 (2019) 14, No. 3-4 (2018) 14, No. 2 (2018) 14, No. 1 (2018) 13, No. 4 (2018) 13, No. 3 (2018) 13, No. 2 (2017) 13, No. 1 (2017) 12, No. 4 (2016) 12, No. 3 (2016) 12, No. 2 (2016) 12, No. 1 (2016) 11, No. 4 (2015) 11, No. 3 (2015) 11, No. 2 (2015) 11, No. 1 (2015) 10, No. 4 (2014) 10, No. 3 (2014) 10, No. 2 (2014) 10, No. 1 (2014) 9, No. 4 (2013) 9, No. 3 (2013) 9, No. 2 (2013) 9, No. 1 (2013) 8, No. 4 (2012) 8, No. 3 (2012) 8, No. 2 (2012) 8, No. 1 (2012) 7, No. 4 (2011) 7, No. 3 (2011) 7, No. 2 (2011) 7, No. 1 (2011) 6, No. 4 (2010) 6, No. 3 (2010) 6, No. 2 (2010) 6, No. 1 (2010) 5, No. 4 (2009) 5, No. 3 (2009) 5, No. 2 (2009) 5, No. 1 (2009) 4, No. 4 (2008) 4, No. 3 (2008) 4, No. 2 (2008) 4, No. 1 (2008) 3, No. 4 (2007) 3, No. 3 (2007) 3, No. 2 (2007) 3, No. 1 (2007) 2, No. 4 (2006) 2, No. 3 (2006) 2, No. 2 (2006) 2, No. 1 (2006) 1, No. 4 (2005) 1, No. 3 (2005) 1, No. 2 (2005) 1, No. 1 (2005)
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#### Authors

 16 Yau, Shing-Tung 13 Liu, Kefeng 9 Ji, Lizhen 5 Li, Fang 5 Witten, Edward 4 Bogomolov, Fedor Alekseivich 4 Esnault, Hélène 4 Kollár, János 4 Lück, Wolfgang 4 Voisin, Claire 4 Xu, Hongwei 4 Zuo, Kang 3 Biswas, Indranil 3 Gaitsgory, Dennis 3 Hu, Yi 3 Jiang, Yunfeng 3 Maulik, Davesh 3 Pandharipande, Rahul 3 Popa, Mihnea 3 Reid, Alan W. 3 Thomas, Richard Paul 3 Tosatti, Valentino 3 Tschinkel, Yuri 3 Van der Geer, Gerard 3 Varchenko, Alexander Nikolaevich 3 Xu, Hao 3 Yau, Stephen Shing-Toung 2 Aoki, Hiroki 2 Batyrev, Victor V. 2 Baum, Paul Frank 2 Burger, Marc 2 Burns, Daniel M. jun. 2 Burns, David John 2 Calin, Ovidiu L. 2 Chai, Chingli 2 Chang, Der-Chen E. 2 Coates, Tom 2 Collins, Tristan Clifford 2 Dai, Junfei 2 Dai, Xingyu 2 de Jong, Robin 2 de Oliveira, Bruno 2 Dolgachev, Igor’ Vladimirovich 2 Donagi, Ron Y. 2 Dummigan, Neil 2 Fan, Jinhua 2 Gasqui, Jacques 2 Goldschmidt, Hubert Leopold 2 Göttsche, Lothar 2 Griess, Robert L. jun. 2 Gu, Juan-Ru 2 Guan, Pengfei 2 Guillemin, Victor W. 2 Hambleton, Ian 2 Hida, Haruzo 2 Higson, Nigel 2 Hiranouchi, Toshiro 2 Hu, Zhengyu 2 Iozzi, Alessandra 2 Janeczko, Stanisław 2 Jeffrey, Lisa C. 2 Kapranov, Mikhail M. 2 Katzarkov, Ludmil 2 Knutson, Allen 2 Kool, Martijn 2 Kottwitz, Robert Edward 2 Labourie, François 2 Lakshmibai, Venkatramani 2 Lazarsfeld, Robert Kendall 2 Lehrer, Gustav Isaac 2 Leung, Naichung Conan 2 Levine, Marc Noel 2 Li, Jun 2 Liu, Taishun 2 Long, Darren D. 2 Luo, Wei 2 Maclachlan, Colin 2 Manin, Yuri Ivanovich 2 Martin, Gaven J. 2 Massey, David Bradley 2 Müller-Stach, Stefan J. 2 Oguiso, Keiji 2 Oort, Frans 2 Penkov, Ivan B. 2 Preston, Stephen C. 2 Ramakrishnan, Dinakar 2 Ranicki, Andrew A. 2 Reiris Ithurralde, Martín 2 Rogawski, Jonathan D. 2 Rosenthal, David S. H. 2 Saito, Kyoji 2 Saito, Morihiko 2 Schick, Thomas 2 Shparlinski, Igor E. 2 Silverman, Joseph Hillel 2 Simpson, Carlos Tschudi 2 Siu, Yum-Tong 2 Taguchi, Yuichiro 2 Tignol, Jean-Pierre 2 Todorov, Andrey N. ...and 820 more Authors
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#### Fields

 221 Algebraic geometry (14-XX) 121 Differential geometry (53-XX) 98 Number theory (11-XX) 89 Several complex variables and analytic spaces (32-XX) 56 Manifolds and cell complexes (57-XX) 54 Group theory and generalizations (20-XX) 44 Partial differential equations (35-XX) 44 Global analysis, analysis on manifolds (58-XX) 40 Topological groups, Lie groups (22-XX) 32 Algebraic topology (55-XX) 28 Functions of a complex variable (30-XX) 23 Nonassociative rings and algebras (17-XX) 21 Combinatorics (05-XX) 21 $$K$$-theory (19-XX) 21 Quantum theory (81-XX) 19 Associative rings and algebras (16-XX) 18 Commutative algebra (13-XX) 17 Relativity and gravitational theory (83-XX) 16 Dynamical systems and ergodic theory (37-XX) 15 History and biography (01-XX) 14 Category theory; homological algebra (18-XX) 14 Convex and discrete geometry (52-XX) 10 Functional analysis (46-XX) 10 Probability theory and stochastic processes (60-XX) 8 General and overarching topics; collections (00-XX) 7 Potential theory (31-XX) 7 Operator theory (47-XX) 7 Geometry (51-XX) 7 Numerical analysis (65-XX) 6 Field theory and polynomials (12-XX) 6 Special functions (33-XX) 5 Abstract harmonic analysis (43-XX) 5 Information and communication theory, circuits (94-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Real functions (26-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Ordinary differential equations (34-XX) 3 Integral transforms, operational calculus (44-XX) 3 Statistics (62-XX) 3 Mechanics of particles and systems (70-XX) 3 Fluid mechanics (76-XX) 2 Measure and integration (28-XX) 2 General topology (54-XX) 2 Computer science (68-XX) 2 Mechanics of deformable solids (74-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH Open

391 Publications have been cited 2,453 times in 2,333 Documents Cited by Year
On the zeros and coefficients of certain weakly holomorphic modular forms. Zbl 1200.11027
Duke, W.; Jenkins, Paul
2008
Moment-angle complexes, monomial ideals and Massey products. Zbl 1169.13013
Denham, Graham; Suciu, Alexander I.
2007
Some numerical results in complex differential geometry. Zbl 1178.32018
Donaldson, S. K.
2009
Interior gradients estimates and existence theorems for constant mean curvature graphs in $$M^n\times\mathbb R$$. Zbl 1145.53048
Spruck, Joel
2007
A local-global compatibility conjecture in the $$p$$-adic Langlands programme for $$\text{GL}_{2}/\mathbb Q$$. Zbl 1254.11106
Emerton, Matthew
2006
$$K$$-theoretic Donaldson invariants via instanton counting. Zbl 1192.14011
Göttsche, Lothar; Nakajima, Hiraku; Yoshioka, Kōta
2009
Maximal representations of surface groups: symplectic Anosov structures. Zbl 1157.53025
Burger, Marc; Iozzi, Alessandra; Labourie, François; Wienhard, Anna
2005
On the equivalence of geometric and analytic $$K$$-homology. Zbl 1146.19004
Baum, Paul; Higson, Nigel; Schick, Thomas
2007
On the Chow ring of certain algebraic hyper-Kähler manifolds. Zbl 1165.14012
Voisin, Claire
2008
Combinatorial secant varieties. Zbl 1107.14045
Sturmfels, Bernd; Sullivant, Seth
2006
The classification of surfaces with $$p_g=q=0$$ isogenous to a product of curves. Zbl 1151.14027
Bauer, I. C.; Catanese, F.; Grunewald, F.
2008
Compact Clifford-Klein forms of symmetric spaces – revisited. Zbl 1145.22011
Kobayashi, Toshiyuki; Yoshino, Taro
2005
Alcove walks, Hecke algebras, spherical functions, crystals and column strict tableaux. Zbl 1127.20005
Ram, Arun
2006
Perron’s formula and the prime number theorem for automorphic $$L$$-functions. Zbl 1246.11152
Liu, Jianya; Ye, Yangbo
2007
Nested complexes and their polyhedral realizations. Zbl 1109.52010
Zelevinsky, Andrei
2006
Quasi-isometries and rigidity of solvable groups. Zbl 1167.22007
Eskin, Alex; Fisher, David; Whyte, Kevin
2007
Flat projective structures on surfaces and cubic holomorphic differentials. Zbl 1158.32006
Labourie, François
2007
Canonical models of foliations. Zbl 1166.14010
McQuillan, Michael
2008
A note on $$L$$-packets. Zbl 1158.22017
Arthur, James
2006
Quasi-morphisms and the Poisson bracket. Zbl 1143.53070
Entov, Michael; Polterovich, Leonid; Zapolsky, Frol
2007
Is there a topological Bogomolov-Miyaoka-Yau inequality? Zbl 1145.14031
Kollár, János
2008
Perturbative superstring theory revisited. Zbl 1421.81101
Witten, Edward
2019
On the classifying space of the family of virtually cyclic subgroups. Zbl 1258.55011
Lück, Wolfgang; Weiermann, Michael
2012
$$K$$-homology, assembly and rigidity theorems for relative eta invariants. Zbl 1227.19006
Higson, Nigel; Roe, John
2010
Holomorphic Morse inequalities and the Green-Griffiths-Lang conjecture. Zbl 1316.32014
Demailly, Jean-Pierre
2011
Notes on super Riemann surfaces and their moduli. Zbl 1423.32012
Witten, Edward
2019
Topological modular forms of level 3. Zbl 1192.55006
Mahowald, Mark; Rezk, Charles
2009
Notes on supersymmetric and holomorphic field theories in dimensions 2 and 4. Zbl 1299.14013
Costello, Kevin
2013
Crystals and D-modules. Zbl 1327.14013
Gaitsgory, Dennis; Rozenblyum, Nick
2014
The Manin constant. (With an appendix by J. Cremona). Zbl 1109.11032
Agashe, Amod; Ribet, Kenneth; Stein, William A.
2006
Notes on supermanifolds and integration. Zbl 1421.58001
Witten, Edward
2019
New calculations in Gromov-Witten theory. Zbl 1156.14042
Maulik, D.; Pandharipande, R.
2008
A variational formula for stochastic controls and some applications. Zbl 1142.49013
Mou, Libin; Yong, Jiongmin
2007
Non-commutative Hodge-to-de Rham degeneration via the method of Deligne-Illusie. Zbl 1189.14013
Kaledin, D.
2008
Curvatures of Sobolev metrics on diffeomorphism groups. Zbl 1287.58007
Khesin, B.; Lenells, J.; Misiołek, G.; Preston, S. C.
2013
Asymptotic invariants of line bundles. Zbl 1139.14008
Ein, L.; Lazarsfeld, R.; Mustaţǎ, M.; Nakamaye, M.; Popa, M.
2005
Average values of modular $$L$$-series via the relative trace formula. Zbl 1143.11029
Ramakrishnan, Dinakar; Rogawski, Jonathan
2005
Super Atiyah classes and obstructions to splitting of supermoduli space. Zbl 1314.58004
Donagi, Ron; Witten, Edward
2013
Trees, ultrametrics, and noncommutative geometry. Zbl 1251.46038
Hughes, Bruce
2012
On leading terms and values of equivariant motivic $$L$$-functions. Zbl 1227.11118
Burns, David
2010
Linear drift and Poisson boundary for random walks. Zbl 1142.60035
Karlson, Anders; Ledrappier, François
2007
The image of an arboreal Galois representation. Zbl 1167.11011
Boston, Nigel; Jones, Rafe
2009
Weak coupling, degeneration and log Calabi-Yau spaces. Zbl 1305.81119
Donagi, Ron; Katz, Sheldon; Wijnholt, Martijn
2013
Towards non-reductive geometric invariant theory. Zbl 1143.14039
Doran, Brent; Kirwan, Frances
2007
On uniform exponential growth for solvable groups. Zbl 1147.20027
Breuillard, Emmanuel
2007
The Oka principle for sections of stratified fiber bundles. Zbl 1216.32005
Forstnerič, Franc
2010
Noncommutative complete intersections and matrix integrals. Zbl 1151.14006
Etingof, Pavel; Ginzburg, Victor
2007
Meromorphic fibrations on certain manifolds with trivial canonical bundle. (Fibrations méromorphes sur certaines varietés à fibré canonique trivial.) Zbl 1143.14035
Amerik, Ekaterina; Campana, Frédéric
2008
The maximal rank conjecture and rank two Brill-Noether theory. Zbl 1316.14059
Farkas, Gavril; Ortega, Angela
2011
Weyl chambers and standard monomial theory for poset lattice cones. Zbl 1102.13023
Howe, Roger
2005
Geometric Langlands correspondence for $${\mathcal D}$$-modules in prime characteristic: the $$\mathrm{GL}(n)$$ case. Zbl 1206.14030
Braverman, Alexander; Bezrukavnikov, Roman
2007
Maps of bounded variation with values into a manifold: total variation and relaxed energy. Zbl 1347.49076
Giaquinta, Mariano; Mucci, Domenico
2007
Zeta functions and motives. Zbl 1171.18006
Kahn, Bruno
2009
Homological stability of diffeomorphism groups. Zbl 1295.57038
Berglund, Alexander; Madsen, Ib
2013
Arithmetic Fuchsian groups of genus zero. Zbl 1107.20037
Long, D. D.; Maclachlan, C.; Reid, A. W.
2006
Equivariant Giambelli and determinantal restriction formulas for the Grassmannian. Zbl 1105.14065
Lakshmibai, V.; Raghavan, K. N.; Sankaran, P.
2006
Limits of Chow groups, and a new construction of Chern-Schwartz-MacPherson classes. Zbl 1110.14010
Aluffi, Paolo
2006
Dual double EPW-sextics and their periods. Zbl 1152.14010
O’Grady, Kieran G.
2008
Discriminant of symplectic involutions. Zbl 1183.11020
Garibaldi, Skip; Parimala, R.; Tignol, Jean-Pierre
2009
The essentially tame Jacquet-Langlands correspondence for inner forms of $$\text{GL}(n)$$. Zbl 1244.11053
Bushnell, Colin J.; Henniart, Guy
2011
On Levi-flat hypersurfaces with prescribed boundary. Zbl 1214.32010
Dolbeault, Pierre; Tomassini, Giuseppe; Zaitsev, Dmitri
2010
Surfaces moving by powers of Gauss curvature. Zbl 1263.53058
Andrews, Ben; Chen, Xuzhong
2012
Remarks on the combinatorial intersection cohomology of fans. Zbl 1110.14019
Braden, Tom
2006
Explicit Gromov-Hausdorff compactifications of moduli spaces of Kähler-Einstein Fano manifolds. Zbl 1403.32013
Spotti, Cristiano; Sun, Song
2018
Vafa-Witten invariants for projective surfaces. II: Semistable case. Zbl 1404.53036
Tanaka, Yuuji; Thomas, Richard P.
2018
From solitons to many-body systems. Zbl 1153.37031
Ben-Zvi, David; Nevins, Thomas
2008
CM number fields and modular forms. Zbl 1146.11028
Yang, Tonghai
2005
Topological rigidity for non-aspherical manifolds. Zbl 1196.57018
Kreck, M.; Lück, W.
2009
A form of Alexandrov-Fenchel inequality. Zbl 1230.52020
Guan, Pengfei; Ma, Xi-Nan; Trudinger, Neil; Zhu, Xiaohua
2010
Number variance of random zeros on complex manifolds. II: Smooth statistics. Zbl 1217.32003
Shiffman, Bernard; Zelditch, Steve
2010
Hyperbolic geometric flow. I: Short-time existence and nonlinear stability. Zbl 1232.58020
Dai, Wen-Rong; Kong, De-Xing; Liu, Kefeng
2010
Anticanonical divisors and curve classes on Fano manifolds. Zbl 1316.14022
Höring, Andreas; Voisin, Claire
2011
Homotopy theory for digraphs. Zbl 1312.05063
Grigor’yan, Alexander; Lin, Yong; Muranov, Yuri; Yau, Shing-Tung
2014
Moduli spaces of semistable sheaves of dimension $$1$$ on $$\mathbb{P}^2$$. Zbl 1320.14017
Yuan, Yao
2014
Stable configurations of linear subspaces and quotient coherent sheaves. Zbl 1100.14039
Hu, Yi
2005
Heat flow of biharmonic maps in dimension four and its application. Zbl 1152.58012
Wang, Changyou
2007
Monodromy of Hecke-invariant subvarieties. Zbl 1140.11031
Chai, Ching-Li
2005
Finite hypergeometric functions. Zbl 1397.11162
Beukers, Frits; Cohen, Henri; Mellit, Anton
2015
Transcendence of periods: the state of the art. Zbl 1220.11090
Waldschmidt, Michel
2006
Effective termination of Kohn’s algorithm for subelliptic multipliers. Zbl 1235.32030
Siu, Yum-Tong
2010
Low degree GW invariants of spin surfaces. Zbl 1328.14086
Kiem, Young-Hoon; Li, Jun
2011
Local systems on proper algebraic $$V$$-manifolds. Zbl 1316.14008
Simpson, Carlos
2011
The eigencone and saturation for Spin(8). Zbl 1188.20045
Kapovich, Michael; Kumar, Shrawan; Millson, John J.
2009
Katz’s middle convolution algorithm. Zbl 1176.14002
Simpson, Carlos
2009
Geometrically connected components of Lubin-Tate deformation spaces with level structures. Zbl 1193.11112
Strauch, Matthias
2008
Elliptic genus and vertex operator algebras. Zbl 1144.58014
Dong, Chongying; Liu, Kefeng; Ma, Xiaonan
2005
A Shafarevich-Faltings theorem for rational functions. Zbl 1168.14020
Szpiro, Lucien; Tucker, Thomas J.
2008
Double character sums over elliptic curves and finite fields. Zbl 1171.11046
Banks, William D.; Friedlander, John B.; Garaev, Moubariz Z.; Shparlinski, Igor E.
2006
A sharp upper estimate conjecture for the Yau number of a weighted homogeneous isolated hypersurface singularity. Zbl 1453.32034
Yau, Stephen S.-T.; Zuo, Huai Qing
2016
Pseudo-effective classes and pushforwards. Zbl 1319.14010
Debarre, Olivier; Jiang, Zhi; Voisin, Claire
2013
On Iwahori-Hecke algebras with unequal parameters and Lusztig’s isomorphism theorem. Zbl 1243.20005
Geck, Meinolf
2011
$$EE_8$$-lattices and dihedral groups. Zbl 1247.11092
Griess, Robert L. jun.; Lam, Ching Hung
2011
Piecewise linear parametrization of canonical bases. Zbl 1255.17009
Lusztig, G.
2011
Injectivity criteria for holomorphic curves in $$\mathbb{C}^n$$. Zbl 1252.30003
Chuaqui, M.; Duren, P.; Osgood, B.
2011
Dimensions of Newton strata in the adjoint quotient of reductive groups. Zbl 1109.11033
Kottwitz, Robert E.
2006
Polynomial and rational maps between balls. Zbl 1208.32019
Faran, James; Huang, Xiaojun; Ji, Shanyu; Zhang, Yuan
2010
Notes on the universal elliptic KZB connection. Zbl 1439.14044
Hain, Richard
2020
Birational geometry of algebraic varieties with a pencil of Fano cyclic covers. Zbl 1185.14009
Pukhlikov, A. V.
2009
Models of curves and wild ramification. Zbl 1200.14052
Lorenzini, Dino
2010
On $$K(\text{E}_9)$$. Zbl 1098.22010
Nicolai, H.; Samtleben, H.
2005
Cartan-Iwahori-Matsumoto decompositions for reductive groups. Zbl 1462.14050
Alper, Jarod; Heinloth, Jochen; Halpern-Leistner, Daniel
2021
Complex structures on jet spaces and bosonic Fock space dynamics for causal variational principles. Zbl 07347633
Finster, Felix; Kamran, Niky
2021
Twisted Kähler-Einstein metrics. Zbl 07358991
Ross, Julius; Székelyhidi, Gábor
2021
Relations in the tautological ring of the moduli space of curves. Zbl 07358273
Pandharipande, R.; Pixton, A.
2021
Areas of totally geodesic surfaces of hyperbolic $$3$$-orbifolds. Zbl 07347631
Linowitz, Benjamin; McReynolds, D. B.; Miller, Nicholas
2021
Graded tilting for gauged Landau-Ginzburg models and geometric applications. Zbl 07347635
Okonek, Christian; Teleman, Andrei
2021
A class of curvature type equation. Zbl 07358985
Guan, Pengfei; Zhang, Xiangwen
2021
The complex Monge-Ampère equation with a gradient term. Zbl 07358990
Tosatti, Valentino; Weinkove, Ben
2021
Anomaly flow and T-duality. Zbl 07358994
Fei, Teng; Picard, Sebastien
2021
On Shimura varieties for unitary groups. Zbl 07358274
Rapoport, M.; Smithling, B.; Zhang, W.
2021
Notes on the universal elliptic KZB connection. Zbl 1439.14044
Hain, Richard
2020
Gromov-Witten invariants of the Riemann sphere. Zbl 1453.14133
Dubrovin, Boris; Yang, Di; Zagier, Don
2020
Positivity of Brown-York mass with quasi-positive boundary data. Zbl 1433.53061
Shi, Yuguang; Tam, Luen-Fai
2020
On the image of MRC fibrations of projective manifolds with semi-positive holomorphic sectional curvature. Zbl 1462.53062
Matsumura, Shin-Ichi
2020
Hyperelliptic integrals modulo $$p$$ and Cartier-Manin matrices. Zbl 1456.14036
Varchenko, Alexander
2020
The local and global versions of the Whittaker category. Zbl 1460.14033
Gaitsgory, Dennis
2020
On the orbifold Euler characteristics of dual invertible polynomials with non-abelian symmetry groups. Zbl 1455.14078
Ebeling, Wolfgang; Gusein-Zade, Sabir M.
2020
Shuffle algebras and perverse sheaves. Zbl 1464.14022
Kapranov, Mikhail; Schechtman, Vadim
2020
Almost duality for Saito structure and complex reflection groups. II: The case of Coxeter and Shephard groups. Zbl 1455.53096
Konishi, Yukiko; Minabe, Satoshi
2020
On the topology of elliptic singularities. Zbl 1457.32070
Nagy, János; Némethi, András
2020
Roots of Bernstein-Sato polynomials of certain homogeneous polynomials with two-dimensional singular loci. Zbl 1457.14043
Saito, Morihiko
2020
Perturbative superstring theory revisited. Zbl 1421.81101
Witten, Edward
2019
Notes on super Riemann surfaces and their moduli. Zbl 1423.32012
Witten, Edward
2019
Notes on supermanifolds and integration. Zbl 1421.58001
Witten, Edward
2019
Superstring perturbation theory via super Riemann surfaces: an overview. Zbl 1421.81102
Witten, Edward
2019
Non-Kähler Ricci flow singularities modeled on Kähler-Ricci solitons. Zbl 1431.53103
Isenberg, James; Knopf, Dan; Šešum, Nataša
2019
The $$\partial\overline{\partial}$$-lemma for general Clemens manifolds. Zbl 1439.32037
Friedman, Robert
2019
Laurent inversion. Zbl 1439.14122
Coates, Tom; Kasprzyk, Alexander; Prince, Thomas
2019
On counting associative submanifolds and Seiberg-Witten monopoles. Zbl 1436.53035
Doan, Aleksander; Walpuski, Thomas
2019
On the Kähler-Yang-Mills-Higgs equations. Zbl 07182266
Álvarez-Cónsul, Luis; Garcia-Fernandez, Mario; García-Prada, Oscar
2019
On the total mass of asymptotically hyperbolic manifolds. Zbl 1431.53071
Barzegar, Hamed; Chruściel, Piotr T.; Nguyen, Luc
2019
A report on the hypersymplectic flow. Zbl 1436.53077
Fine, Joel; Yau, Chengjian
2019
Explicit Gromov-Hausdorff compactifications of moduli spaces of Kähler-Einstein Fano manifolds. Zbl 1403.32013
Spotti, Cristiano; Sun, Song
2018
Vafa-Witten invariants for projective surfaces. II: Semistable case. Zbl 1404.53036
Tanaka, Yuuji; Thomas, Richard P.
2018
Geometric formality and non-negative scalar curvature. Zbl 1404.53060
Kotschick, Dieter
2018
Orientability of the moduli space of $$\mathrm{Spin}(7)$$-instantons. Zbl 1403.53043
Muñoz, Vicente; Shahbazi, Carlos S.
2018
Stable pairs with descendents on local surfaces. I: The vertical component. Zbl 1408.14181
Kool, Martijn; Thomas, Richard P.
2018
Bloch’s conjecture for certain hyperkähler fourfolds. Zbl 1405.14016
Laterveer, Robert
2018
The Steklov spectrum and coarse discretizations of manifolds with boundary. Zbl 1457.58007
Colbois, Bruno; Girouard, Alexandre; Raveendran, Binoy
2018
Refined $$\text{SU}(3)$$ Vafa-Witten invariants and modularity. Zbl 1455.14105
Göttsche, Lothar; Kool, Martijn
2018
Downwinding for preserving strong stability in explicit integrating factor Runge-Kutta methods. Zbl 07088497
Gottlieb, Sigal; Grant, Zachary J.; Isherwood, Leah
2018
Asymptotic behavior of solutions to general hyperbolic-parabolic systems of balance laws in multi-space dimensions. Zbl 1416.35043
Zeng, Yanni
2018
Remarks on Donaldson’s symplectic submanifolds. Zbl 1403.53071
Giroux, Emmanuel
2018
Sheaf counting on local $$K3$$ surfaces. Zbl 1455.14107
Maulik, Davesh; Thomas, Richard P.
2018
Periods of linear algebraic cycles. Zbl 1454.14025
Movasati, Hossein; Villaflor Loyola, Roberto
2018
Third order WENO scheme on sparse grids for hyperbolic equations. Zbl 1422.65148
Chen, Shanqin; Lu, Dong; Zhang, Yong-Tao
2018
Jacobian-squared function-germs. Zbl 1412.57022
Nishimura, Takashi
2018
Kummer varieties and their Brauer groups. Zbl 1398.14029
Skorobogatov, Alexei N.; Zarhin, Yuri G.
2017
Slopes of indecomposable $$F$$-isocrystals. Zbl 1431.11069
Drinfeld, Vladimir; Kedlaya, Kiran S.
2017
The stringy Euler number of Calabi-Yau hypersurfaces in toric varieties and the Mavlyutov duality. Zbl 1400.14139
Batyrev, Victor
2017
Wall-crossing functors for quantized symplectic resolutions: perversity and partial Ringel dualities. Zbl 1398.16013
Losev, Ivan
2017
Self-dual Grassmannian, Wronski map, and representations of $$\mathfrak{gl}_N$$, $$\mathfrak{sp}_{2r}$$, $$\mathfrak{so}_{2r+1}$$. Zbl 1437.17002
Lu, Kang; Mukhin, E.; Varchenko, A.
2017
Representation categories of Mackey Lie algebras as universal monoidal categories. Zbl 1398.16024
Chirvasitu, Alexandru; Penkov, Ivan
2017
Norms of lines on cubic surfaces. (Normes de droites sur les surfaces cubiques.) Zbl 1402.14028
Colliot-Thélène, J.-L.; Loughran, Daniel
2017
Chern classes of automorphic vector bundles. Zbl 1398.14017
Esnault, Hélène; Harris, Michael
2017
A sharp upper estimate conjecture for the Yau number of a weighted homogeneous isolated hypersurface singularity. Zbl 1453.32034
Yau, Stephen S.-T.; Zuo, Huai Qing
2016
Hessenberg varieties for the minimal nilpotent orbit. Zbl 1390.17015
Abe, Hiraku; Crooks, Peter
2016
$$K$$-homology and Fredholm operators. II: Elliptic operators. Zbl 1445.58011
Baum, Paul F.; van Erp, Erik
2016
Linking forms revisited. Zbl 1401.57010
Conway, Anthony; Friedl, Stefan; Herrmann, Gerrit
2016
Log canonical pairs over varieties with maximal Albanese dimension. Zbl 1401.14084
Hu, Zhengyu
2016
Hirzebruch $$\chi_y$$-genera modulo 8 of fiber bundles for odd integers $$y$$. Zbl 1403.55009
Rovi, Carmen; Yokura, Shoji
2016
The Fekete and Szegö problem on bounded starlike circular domain in $$\mathbb C^n$$. Zbl 1454.32010
Xu, Qinghua; Liu, Taishun; Zhang, Wenjun
2016
Variants of normality for Noetherian schemes. Zbl 1398.14008
Kollár, János
2016
Motivic vanishing cycles as a motivic measure. Zbl 1387.14031
Lunts, Valery A.; Schnürer, Olaf M.
2016
On intermediate Jacobians of cubic threefolds admitting an automorphism of order five. Zbl 1365.14040
van Geemen, Bert; Yamauchi, Takuya
2016
Finite hypergeometric functions. Zbl 1397.11162
Beukers, Frits; Cohen, Henri; Mellit, Anton
2015
A new boundary rigidity theorem for holomorphic self-mappings of the unit ball in $$\mathbb C ^n$$. Zbl 1353.32019
Liu, Taishun; Tang, Xiaomin
2015
$$K$$-theoretic and categorical properties of toric Deligne-Mumford stacks. Zbl 1349.14006
Coates, Tom; Iritani, Hiroshi; Jiang, Yunfeng; Segal, Ed
2015
Constructing vector-valued Siegel modular forms from scalar-valued Siegel modular forms. Zbl 1348.14098
Cléry, Fabien; van der Geer, Gerard
2015
A $$1$$-dimensional family of Enriques surfaces in characteristic $$2$$ covered by the supersingular $$K3$$ surface with Artin invariant $$1$$. Zbl 1367.14015
Katsura, Toshiyuki; Kondō, Shigeyuki
2015
Random walks on complete multipartite graphs. Zbl 1365.05266
Chang, Xiao; Xu, Hao
2015
Topological characterization of an asymptotic Teichmüller space through measured geodesic laminations. Zbl 1372.30047
Fan, Jinhua; Hu, Jun
2015
Finiteness of rational curves of degree $$12$$ on a general quintic threefold. Zbl 1362.14039
Ballico, Edoardo; Fontanari, Claudio
2015
The hypergeometric functions of the Faber-Zagier and Pixton relations. Zbl 1366.14026
Buryak, A.; Janda, F.; Pandharipande, R.
2015
On structure of cluster algebras of geometric type. II: Green’s equivalences and paunched surfaces. Zbl 1379.13005
Huang, Min; Li, Fang
2015
Bounding Betti numbers of monomial ideals in the exterior algebra. Zbl 1349.13001
Crupi, Marilena; Ferrò, Carmela
2015
Loss of derivatives in the infinite type. Zbl 1349.35074
Khanh, Tran Vu; Pinton, Stefano; Zampieri, Giuseppe
2015
Contracting pinched hypersurfaces in spheres by their mean curvature. Zbl 1353.53063
Li, Yan; Xu, Hongwei; Zhao, Entao
2015
An $$L^2$$ injectivity theorem and its application. Zbl 1353.32021
Zhao, Chen
2015
The Pro-Chern-Schwartz-MacPherson class for DM stacks. Zbl 1349.14174
Jiang, Yunfeng
2015
Crystals and D-modules. Zbl 1327.14013
Gaitsgory, Dennis; Rozenblyum, Nick
2014
Homotopy theory for digraphs. Zbl 1312.05063
Grigor&rsquo;yan, Alexander; Lin, Yong; Muranov, Yuri; Yau, Shing-Tung
2014
Moduli spaces of semistable sheaves of dimension $$1$$ on $$\mathbb{P}^2$$. Zbl 1320.14017
Yuan, Yao
2014
Topological T-duality for general circle bundles. Zbl 1318.19009
Baraglia, David
2014
An explicit formula of hitting times for random walks on graphs. Zbl 1306.05228
Xu, Hao; Yau, Shing-Tung
2014
On the Griffiths groups of Fano manifolds of Calabi-Yau Hodge type. Zbl 1311.14041
Favero, David; Iliev, Atanas; Katzarkov, Ludmil
2014
On recent advance of nonlinear filtering theory: emphases on global approaches. Zbl 1317.60045
Luo, Xue
2014
Non-commutative generalized Dedekind symbols. Zbl 1355.11034
Manin, Yuri I.
2014
Linear ind-Grassmannians. Zbl 1327.14219
Penkov, Ivan; Tikhomirov, Alexander S.
2014
Holography principle for twistor spaces. Zbl 1303.32016
Verbitsky, Misha
2014
On character sheaves and characters of reductive groups at unipotent classes. Zbl 1322.20035
Digne, François; Lehrer, Gustav; Michel, Jean
2014
Characterization of the asymptotic Teichmüller space of the open unit disk through shears. Zbl 1306.30018
Fan, Jinhua; Hu, Jun
2014
Local holomorphic curves on a bounded symmetric domain in its Harish-Chandra realization exiting at regular points of the boundary. Zbl 1312.32009
Mok, Ngaiming
2014
On the multinorm principle for finite abelian extensions. Zbl 1328.11108
Pollio, Timothy P.
2014
Irreducible components of Hurwitz spaces parameterizing Galois coverings of curves of positive genus. Zbl 1338.14031
Kanev, Vassil
2014
Intersection cohomology of the universal imploded cross-section of SU(3). Zbl 1321.55004
Ho, Nan-Kuo; Jeffrey, Lisa
2014
Notes on supersymmetric and holomorphic field theories in dimensions 2 and 4. Zbl 1299.14013
Costello, Kevin
2013
Curvatures of Sobolev metrics on diffeomorphism groups. Zbl 1287.58007
Khesin, B.; Lenells, J.; Misiołek, G.; Preston, S. C.
2013
Super Atiyah classes and obstructions to splitting of supermoduli space. Zbl 1314.58004
Donagi, Ron; Witten, Edward
2013
Weak coupling, degeneration and log Calabi-Yau spaces. Zbl 1305.81119
Donagi, Ron; Katz, Sheldon; Wijnholt, Martijn
2013
...and 291 more Documents
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#### Cited by 2,774 Authors

 11 Choi, Soyoung 11 Yau, Stephen Shing-Toung 9 Gaitsgory, Dennis 9 Gitler Hammer, Samuel Carlos 9 Kim, Sangjib 9 Laterveer, Robert 9 Wienhard, Anna Katharina 8 Bahri, Anthony P. 8 Baum, Paul Frank 8 Bendersky, Martin 8 Kaledin, Dmitry B. 8 Shparlinski, Igor E. 8 Vial, Charles 8 Zuo, Huaiqing 7 Anderson, Lara B. 7 Aubert, Anne-Marie 7 Chuaqui, Martin 7 Cohen, Frederick Ronald 7 Deeley, Robin J. 7 Fu, Lie 7 Grassi, Pietro Antonio 7 Keum, Jonghae 7 Kleinschmidt, Axel 7 Newstead, Peter E. 7 Polterovich, Leonid Viktorovich 7 Sá Earp, Ricardo 7 Schlotterer, Oliver 7 Xu, Chenyang 7 Yau, Shing-Tung 7 Yin, Wanke 6 Aluffi, Paolo 6 Biswas, Indranil 6 Breuillard, Emmanuel 6 Burns, David John 6 Ghioca, Dragos 6 Griess, Robert L. jun. 6 Grigor’yan, Alexander Asaturovich 6 Hindes, Wade 6 Huang, Xiaojun 6 Kiem, Young-Hoon 6 Kim, Chang Heon 6 Kim, Inkang 6 Klemm, Albrecht 6 Lam, Ching Hung 6 Lehmann, Brian 6 Lück, Wolfgang 6 O’Grady, Kieran G. 6 Petrosyan, Nansen 6 Preston, Stephen C. 6 Randal-Williams, Oscar 6 Sen, Ashoke Kumar 6 Solleveld, Maarten 6 Zapolsky, Frol 5 Arinkin, Dima 5 Baklouti, Ali 5 Bauer, Ingrid C. 5 Benameur, Moulay-Tahar 5 Bergmann, Ronny 5 Berman, Robert J. 5 Biliotti, Leonardo 5 Burger, Marc 5 Catanese, Fabrizio M. E. 5 Dajczer, Marcos 5 Davis, Michael W. 5 Dèbes, Pierre 5 Degrijse, Dieter 5 Dovgoshey, Oleksiy Alfredovich 5 Elliott, Chris 5 Engliš, Miroslav 5 Gaiffi, Giovanni 5 Göttsche, Lothar 5 Gray, James A. 5 Grushevsky, Samuel 5 Hall, Stuart James 5 Huang, Minxin 5 Hussain, Naveed 5 Hwang, Dongseon 5 Im, Bo-Hae 5 Iozzi, Alessandra 5 Kishimoto, Daisuke 5 Kutzschebauch, Frank 5 Labourie, François 5 Long, Ling 5 Macias Castillo, Daniel 5 Meng, Qingxin 5 Muranov, Yuriĭ Vladimirovich 5 Noja, Simone 5 Patakfalvi, Zsolt 5 Pilaud, Vincent 5 Popa, Mihnea 5 Pukhlikov, Aleksandr Valentinovich 5 Ripoll, Jaime Bruck 5 Song, Jian 5 Stover, Matthew 5 Stroth, Gernot 5 Tsushima, Takahiro 5 Tsuzuki, Masao 5 Yang, Tonghai 5 Yuan, Yao 4 Abe, Hiraku ...and 2,674 more Authors
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#### Cited in 306 Journals

 126 Advances in Mathematics 76 Journal of High Energy Physics 71 Journal of Algebra 68 Proceedings of the American Mathematical Society 64 Mathematische Annalen 60 Transactions of the American Mathematical Society 48 Duke Mathematical Journal 46 Mathematische Zeitschrift 43 Compositio Mathematica 41 Inventiones Mathematicae 41 Geometry & Topology 40 Communications in Mathematical Physics 40 Journal of Number Theory 36 Annales de l’Institut Fourier 35 Journal of Geometry and Physics 34 Geometriae Dedicata 34 Journal of Pure and Applied Algebra 31 Manuscripta Mathematica 31 Selecta Mathematica. New Series 27 Annals of Mathematics. Second Series 26 Journal für die Reine und Angewandte Mathematik 26 The Journal of Geometric Analysis 25 Israel Journal of Mathematics 22 International Journal of Mathematics 22 Geometric and Functional Analysis. GAFA 22 International Journal of Number Theory 21 Calculus of Variations and Partial Differential Equations 20 Journal of Algebraic Geometry 18 Algebraic & Geometric Topology 17 Journal of the American Mathematical Society 16 Letters in Mathematical Physics 16 Science China. Mathematics 15 Mathematical Proceedings of the Cambridge Philosophical Society 15 Mathematics of Computation 15 Transformation Groups 15 Journal of the European Mathematical Society (JEMS) 15 Journal of the Institute of Mathematics of Jussieu 15 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 14 Journal of Mathematical Analysis and Applications 14 Journal of Algebraic Combinatorics 14 The Ramanujan Journal 14 Comptes Rendus. Mathématique. Académie des Sciences, Paris 14 Kyoto Journal of Mathematics 13 Journal of Functional Analysis 13 Forum of Mathematics, Sigma 12 Memoirs of the American Mathematical Society 12 Proceedings of the Steklov Institute of Mathematics 11 Communications in Algebra 11 Michigan Mathematical Journal 11 Representation Theory 10 Publications Mathématiques 10 Journal of Combinatorial Theory. Series A 10 Journal of the Mathematical Society of Japan 10 Topology and its Applications 10 Algebra & Number Theory 10 Research in the Mathematical Sciences 10 European Journal of Mathematics 9 Archiv der Mathematik 9 Nagoya Mathematical Journal 9 Annals of Global Analysis and Geometry 9 International Journal of Algebra and Computation 9 Bulletin of the American Mathematical Society. New Series 9 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 9 Documenta Mathematica 9 Acta Mathematica Sinica. English Series 9 Journal of Noncommutative Geometry 9 Groups, Geometry, and Dynamics 8 Journal of Mathematical Physics 8 Acta Arithmetica 8 Illinois Journal of Mathematics 8 Ergodic Theory and Dynamical Systems 8 Forum Mathematicum 8 Journal de Mathématiques Pures et Appliquées. Neuvième Série 8 Journal of Topology 8 Journal of Topology and Analysis 8 Research in Number Theory 7 Reviews in Mathematical Physics 7 Annali di Matematica Pura ed Applicata. Serie Quarta 7 Journal of Differential Equations 7 Proceedings of the Japan Academy. Series A 7 Journal of Homotopy and Related Structures 7 Journal of $$K$$-Theory 6 Archive for Rational Mechanics and Analysis 6 Mathematical Notes 6 Osaka Journal of Mathematics 6 Chinese Annals of Mathematics. Series B 6 Journal of Symbolic Computation 6 Discrete & Computational Geometry 6 Journal of Mathematical Sciences (New York) 6 Algebras and Representation Theory 6 Communications in Contemporary Mathematics 6 Journal de l’École Polytechnique – Mathématiques 6 Algebraic Combinatorics 5 Discrete Mathematics 5 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 5 Journal d’Analyse Mathématique 5 Nuclear Physics. B 5 Russian Mathematical Surveys 5 Acta Mathematica 5 Commentarii Mathematici Helvetici ...and 206 more Journals
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#### Cited in 59 Fields

 842 Algebraic geometry (14-XX) 460 Number theory (11-XX) 369 Differential geometry (53-XX) 296 Several complex variables and analytic spaces (32-XX) 269 Group theory and generalizations (20-XX) 197 Manifolds and cell complexes (57-XX) 175 Topological groups, Lie groups (22-XX) 173 Quantum theory (81-XX) 166 Global analysis, analysis on manifolds (58-XX) 140 Algebraic topology (55-XX) 127 Combinatorics (05-XX) 117 Partial differential equations (35-XX) 105 Dynamical systems and ergodic theory (37-XX) 97 $$K$$-theory (19-XX) 94 Commutative algebra (13-XX) 91 Functions of a complex variable (30-XX) 86 Nonassociative rings and algebras (17-XX) 70 Associative rings and algebras (16-XX) 68 Convex and discrete geometry (52-XX) 67 Relativity and gravitational theory (83-XX) 53 Functional analysis (46-XX) 47 Category theory; homological algebra (18-XX) 45 Probability theory and stochastic processes (60-XX) 42 Geometry (51-XX) 30 Calculus of variations and optimal control; optimization (49-XX) 26 Field theory and polynomials (12-XX) 24 Special functions (33-XX) 24 Operator theory (47-XX) 23 Potential theory (31-XX) 21 Numerical analysis (65-XX) 20 Linear and multilinear algebra; matrix theory (15-XX) 20 Ordinary differential equations (34-XX) 20 Systems theory; control (93-XX) 19 Computer science (68-XX) 17 General topology (54-XX) 15 Real functions (26-XX) 15 Information and communication theory, circuits (94-XX) 14 Mechanics of particles and systems (70-XX) 12 Order, lattices, ordered algebraic structures (06-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 12 Abstract harmonic analysis (43-XX) 11 Measure and integration (28-XX) 9 History and biography (01-XX) 9 Operations research, mathematical programming (90-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Fluid mechanics (76-XX) 6 Mathematical logic and foundations (03-XX) 6 Statistics (62-XX) 6 Mechanics of deformable solids (74-XX) 5 Difference and functional equations (39-XX) 4 Biology and other natural sciences (92-XX) 3 Integral transforms, operational calculus (44-XX) 3 Geophysics (86-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 General algebraic systems (08-XX) 2 Approximations and expansions (41-XX) 1 General and overarching topics; collections (00-XX) 1 Optics, electromagnetic theory (78-XX) 1 Astronomy and astrophysics (85-XX)