# zbMATH — the first resource for mathematics

## Algebra & Number Theory

 Short Title: Algebra Number Theory Publisher: Mathematical Sciences Publishers (MSP), Berkeley, CA ISSN: 1937-0652; 1944-7833/e Online: http://msp.org/ant Comments: Indexed cover-to-cover
 Documents Indexed: 837 Publications (since 2007) References Indexed: 240 Publications with 5,999 References.
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#### Authors

 9 Siksek, Samir 6 Larsen, Michael Jeffrey 6 Payne, Sam 5 Erman, Daniel 5 Krishna, Amalendu 5 Tao, Terence 5 Tiep Pham Huu 4 Ellenberg, Jordan S. 4 Merkur’ev, Aleksandr Sergeevich 4 Neftin, Danny 4 Reichstein, Zinovy B. 4 Stoll, Michael 4 Witherspoon, Sarah J. 4 Wood, Melanie Matchett 3 Abramovich, Dan 3 Adolphson, Alan 3 Baker, Matthew H. 3 Bell, Jason P. 3 Bessenrodt, Christine 3 Calegari, Frank 3 Castryck, Wouter 3 Cluckers, Raf 3 Dao, Hailong 3 Fisher, Tom A. 3 Fouvry, Etienne 3 Freitas, Nuno 3 Garibaldi, Skip 3 Gee, Toby 3 Guralnick, Robert Michael 3 Keating, Jonathan P. 3 Le Fourn, Samuel 3 Loeffler, David 3 Loeser, François 3 Mirò-Roig, Rosa Maria 3 Navarro, Gabriel 3 Patrikis, Stefan T. 3 Pollack, Paul 3 Popa, Mihnea 3 Raicu, Claudiu 3 Rains, Eric M. 3 Reif, Shifra 3 Rogalski, Daniel 3 Sam, Steven V. 3 Schreieder, Stefan 3 Sierra, Susan J. 3 Smith, Karen E. 3 Sperber, Steven I. 3 Sutherland, Andrew V. 3 Takahashi, Ryo 3 Tian, Yichao 3 Walton, Chelsea 3 Xiao, Liang 3 Yong, Alexander 3 Zhang, James J. 2 Aguiar, Marcelo 2 Allcock, Daniel Jonathan 2 Anderson, Dave Edward 2 Ascher, Kenneth 2 Avramov, Luchezar L. 2 Beheshti, Roya 2 Behrend, Kai A. 2 Bellovin, Rebecca 2 Bennett, Michael A. 2 Bettin, Sandro 2 Bhargava, Manjul 2 Bhatt, Bhargav 2 Bilu, Yuri F. 2 Borger, James M. 2 Bruggeman, Roelof Wichert 2 Brumer, Armand 2 Brundan, Jonathan 2 Brüstle, Thomas 2 Cais, Bryden 2 Cerulli Irelli, Giovanni 2 Chan, Melody 2 Chatzistamatiou, Andre 2 Chen, Dawei 2 Chiarellotto, Bruno 2 Codogni, Giulio 2 Conca, Aldo 2 Cremona, John E. 2 Cutkosky, Steven Dale 2 Datta, Rankeya 2 de Shalit, Ehud 2 Demarche, Cyril 2 Derksen, Harm 2 Diamantis, Nikolaos 2 Dotsenko, Vladimir Viktorovich 2 Draisma, Jan 2 Duke, William Drexel 2 Eggermont, Rob H. 2 Erdmann, Karin 2 Etingof, Pavel Il’ich 2 Fakhruddin, Najmuddin 2 Fiorilli, Daniel 2 Fité, Francesc 2 Ford, Kevin B. 2 Ghioca, Dragos 2 Goren, Eyal Z. 2 Hall, Jack ...and 1,059 more Authors
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#### Fields

 429 Number theory (11-XX) 420 Algebraic geometry (14-XX) 101 Group theory and generalizations (20-XX) 98 Commutative algebra (13-XX) 85 Associative rings and algebras (16-XX) 47 Nonassociative rings and algebras (17-XX) 45 Category theory; homological algebra (18-XX) 38 Combinatorics (05-XX) 36 Topological groups, Lie groups (22-XX) 27 $$K$$-theory (19-XX) 27 Dynamical systems and ergodic theory (37-XX) 26 Field theory and polynomials (12-XX) 22 Several complex variables and analytic spaces (32-XX) 13 Manifolds and cell complexes (57-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 11 Mathematical logic and foundations (03-XX) 10 Algebraic topology (55-XX) 8 Convex and discrete geometry (52-XX) 6 Special functions (33-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Differential geometry (53-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Ordinary differential equations (34-XX) 2 Partial differential equations (35-XX) 2 Abstract harmonic analysis (43-XX) 2 Probability theory and stochastic processes (60-XX) 2 Computer science (68-XX) 2 Quantum theory (81-XX) 2 Information and communication theory, circuits (94-XX) 1 General algebraic systems (08-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Geometry (51-XX) 1 Statistical mechanics, structure of matter (82-XX)

#### Citations contained in zbMATH Open

678 Publications have been cited 4,359 times in 3,803 Documents Cited by Year
Period, index and potential $$\text Ш$$. Zbl 1200.11037
Clark, Pete L.; Sharif, Shahed
2010
Specialization of linear systems from curves to graphs (with an appendix by Brian Conrad). Zbl 1162.14018
Baker, Matthew
2008
Gentle algebras arising from surface triangulations. Zbl 1242.16011
Assem, Ibrahim; Brüstle, Thomas; Charbonneau-Jodoin, Gabrielle; Plamondon, Pierre-Guy
2010
Symmetric obstruction theories and Hilbert schemes of points on threefolds. Zbl 1170.14004
Behrend, Kai; Fantechi, Barbara
2008
Centers of graded fusion categories. Zbl 1201.18006
Gelaki, Shlomo; Naidu, Deepak; Nikshych, Dmitri
2009
$$F$$-adjunction. Zbl 1209.13013
Schwede, Karl
2009
An averaged form of Chowla’s conjecture. Zbl 1377.11109
Matomäki, Kaisa; Radziwiłł, Maksym; Tao, Terence
2015
On the cluster category of a marked surface without punctures. Zbl 1250.16013
Brüstle, Thomas; Zhang, Jie
2011
$$K3$$ surfaces with Picard number one and infinitely many rational points. Zbl 1123.14022
van Luijk, Ronald
2007
The basic geometry of Witt vectors. I: The affine case. Zbl 1276.13018
Borger, James
2011
A jeu de taquin theory for increasing tableaux, with application to $$K$$-theoretic Schubert calculus. Zbl 1229.05285
Thomas, Hugh; Yong, Alexander
2009
The Picard crossed module of a braided tensor category. Zbl 1284.18015
Davydov, Alexei; Nikshych, Dmitri
2013
Betti numbers of graded modules and the multiplicity conjecture in the non-Cohen-Macaulay case. Zbl 1259.13009
Boij, Mats; Söderberg, Jonas
2012
Coherent analogues of matrix factorizations and relative singularity categories. Zbl 1333.14018
Efimov, Alexander I.; Positselski, Leonid
2015
Quiver Grassmannians and degenerate flag varieties. Zbl 1282.14083
Cerulli Irelli, Giovanni; Feigin, Evgeny; Reineke, Markus
2012
Finite descent obstructions and rational points on curves. Zbl 1167.11024
Stoll, Michael
2007
Congruence property in conformal field theory. Zbl 1377.17025
Dong, Chongying; Lin, Xingjun; Ng, Siu-Hung
2015
Intermediate co-$$t$$-structures, two-term silting objects, $$\tau$$-tilting modules, and torsion classes. Zbl 1305.18048
Iyama, Osamu; Jørgensen, Peter; Yang, Dong
2014
Secant varieties of Segre-Veronese varieties. Zbl 1273.14102
Raicu, Claudiu
2012
Lifting harmonic morphisms. II: Tropical curves and metrized complexes. Zbl 1312.14138
Amini, Omid; Baker, Matthew; Brugallé, Erwan; Rabinoff, Joseph
2015
Hilbert schemes of 8 points. Zbl 1187.14005
Cartwright, Dustin A.; Erman, Daniel; Velasco, Mauricio; Viray, Bianca
2009
Integral traces of singular values of weak Maass forms. Zbl 1215.11046
Duke, William; Jenkins, Paul
2008
New equidistribution estimates of Zhang type. Zbl 1307.11097
Castryck, Wouter; Fouvry, Étienne; Harcos, Gergely; Kowalski, Emmanuel; Michel, Philippe; Nelson, Paul; Paldi, Eytan; Pintz, János; Sutherland, Andrew; Tao, Terence; Xie, Xiao-Feng
2014
$$L_\infty$$ structures on mapping cones. Zbl 1166.17010
Fiorenza, Domenico; Manetti, Marco
2007
The Frobenius structure of local cohomology. Zbl 1190.13003
Enescu, Florian; Hochster, Melvin
2008
Multiplicities associated to graded families of ideals. Zbl 1315.13040
Cutkosky, Steven Dale
2013
Period functions and cotangent sums. Zbl 1291.11111
Bettin, Sandro; Conrey, Brian
2013
Yangians and quantizations of slices in the affine Grassmannian. Zbl 1325.14068
Kamnitzer, Joel; Webster, Ben; Weekes, Alex; Yacobi, Oded
2014
Homology and cohomology of quantum complete intersections. Zbl 1205.16011
Bergh, Petter Andreas; Erdmann, Karin
2008
Minimisation and reduction of 2-, 3- and 4-coverings of elliptic curves. Zbl 1222.11073
Cremona, John E.; Fisher, Tom A.; Stoll, Michael
2010
Integral points on hyperelliptic curves. Zbl 1168.11026
Bugeaud, Yann; Mignotte, Maurice; Siksek, Samir; Stoll, Michael; Tengely, Szabolcs
2008
Explicit Gross-Zagier and Waldspurger formulae. Zbl 1311.11054
Cai, Li; Shu, Jie; Tian, Ye
2014
Decompositions of commutative monoid congruences and binomial ideals. Zbl 1341.20062
Kahle, Thomas; Miller, Ezra
2014
On the weak Lefschetz property for powers of linear forms. Zbl 1257.13003
Migliore, Juan C.; Miró-Roig, Rosa M.; Nagel, Uwe
2012
The defect of strong approximation for commutative algebraic groups. (Le défaut d’approximation forte pour les groupes algébriques commutatifs.) Zbl 1194.14067
Harari, David
2008
Relations between Dieudonné displays and crystalline Dieudonné theory. Zbl 1308.14046
Lau, Eike
2014
Comparing numerical dimensions. Zbl 1281.14006
Lehmann, Brian
2013
$$T$$-adic exponential sums over finite fields. Zbl 1270.11123
Liu, Chunlei; Wan, Daqing
2009
K3 surfaces and equations for Hilbert modular surfaces. Zbl 1317.11048
Elkies, Noam; Kumar, Abhinav
2014
Set-theoretic defining equations of the variety of principal minors of symmetric matrices. Zbl 1238.14035
Oeding, Luke
2011
The phase limit set of a variety. Zbl 1277.14048
Nisse, Mounir; Sottile, Frank
2013
Nichols algebras with standard braiding. Zbl 1183.17005
Angiono, Iván Ezequiel
2009
Reflexivity and rigidity for complexes, I: Commutative rings. Zbl 1194.13017
Avramov, Luchezar L.; Iyengar, Srikanth B.; Lipman, Joseph
2010
Modularity of the concave composition generating function. Zbl 1282.05016
Andrews, George E.; Rhoades, Robert C.; Zwegers, Sander P.
2013
Monodromy and local-global compatibility for $$l=p$$. Zbl 1310.11061
Caraiani, Ana
2014
Tropical independence I: Shapes of divisors and a proof of the Gieseker-Petri theorem. Zbl 1317.14139
Jensen, David; Payne, Sam
2014
On families of $$\varphi ,\Gamma$$-modules. Zbl 1278.11060
Kedlaya, Kiran; Liu, Ruochuan
2010
Hopf monoids from class functions on unitriangular matrices. Zbl 1276.05127
Aguiar, Marcelo; Bergeron, Nantel; Thiem, Nathaniel
2013
Weyl groupoids of rank two and continued fractions. Zbl 1181.20035
Cuntz, Michael; Heckenberger, István
2009
Genericity and contragredience in the local Langlands correspondence. Zbl 1371.11148
Kaletha, Tasho
2013
Local cohomology with support in generic determinantal ideals. Zbl 1303.13018
Raicu, Claudiu; Weyman, Jerzy
2014
Mutation classes of $$\widetilde A_n$$-quivers and derived equivalence classification of cluster tilted algebras of type $$\widetilde A_n$$. Zbl 1263.16019
Bastian, Janine
2011
Resonance equals reducibility for $$A$$-hypergeometric systems. Zbl 1251.13023
Schulze, Mathias; Walther, Uli
2012
Group algebra extensions of depth one. Zbl 1236.20001
Boltje, Robert; Külshammer, Burkhard
2011
Analytic families of finite-slope Selmer groups. Zbl 1370.11123
Pottharst, Jonathan
2013
Toroidal compactifications of PEL-type Kuga families. Zbl 1302.11041
Lan, Kai-Wen
2012
Tropical independence. II: The maximal rank conjecture for quadrics. Zbl 1379.14020
Jensen, David; Payne, Sam
2016
The essential dimension of the normalizer of a maximal torus in the projective linear group. Zbl 1222.11056
Meyer, Aurel; Reichstein, Zinovy
2009
Hybrid sup-norm bounds for Maass newforms of powerful level. Zbl 1432.11044
Saha, Abhishek
2017
On the Picard number of $$K3$$ surfaces over number fields. Zbl 1316.14069
Charles, François
2014
A generalized Bogomolov-Gieseker inequality for the three-dimensional projective space. Zbl 1308.14016
Macrì, Emanuele
2014
The Picard group of a $$K3$$ surface and its reduction modulo $$p$$. Zbl 1243.14014
Elsenhans, Andreas-Stephan; Jahnel, Jörg
2011
Equations for Chow and Hilbert quotients. Zbl 1210.14051
Gibney, Angela; Maclagan, Diane
2010
Principal $$W$$-algebras for $$\mathrm{GL}(m|n)$$. Zbl 1302.17008
Brown, Jonathan; Brundan, Jonathan; Goodwin, Simon M.
2013
Combinatorics of the tropical Torelli map. Zbl 1283.14028
Chan, Melody
2012
Fermat’s last theorem over some small real quadratic fields. Zbl 1395.11053
Freitas, Nuno; Siksek, Samir
2015
Functional equations for Mahler measures of genus-one. Zbl 1172.11037
Lalín, Matilde N.; Rogers, Mathew D.
2007
Classifying tilting complexes over preprojective algebras of Dynkin type. Zbl 1412.16008
Aihara, Takuma; Mizuno, Yuya
2017
The radius of a subcategory of modules. Zbl 1308.13015
Dao, Hailong; Takahashi, Ryo
2014
Coleman maps and the $$p$$-adic regulator. Zbl 1271.11100
Lei, Antonio; Loeffler, David; Zerbes, Sarah Livia
2011
On $$\ell$$-torsion in class groups of number fields. Zbl 1398.11136
Ellenberg, Jordan; Pierce, Lillian B.; Matchett Wood, Melanie
2017
Surpassing the ratios conjecture in the 1-level density of Dirichlet $$L$$-functions. Zbl 1352.11079
Fiorilli, Daniel; Miller, Steven J.
2015
Syntomic cohomology and $$p$$-adic regulators for varieties over $$p$$-adic fields. Zbl 1375.14081
Nekovář, Jan; Nizioł, Wiesława
2016
Graded Steinberg algebras and their representations. Zbl 1387.22005
Ara, Pere; Hazrat, Roozbeh; Li, Huanhuan; Sims, Aidan
2018
A rooted-trees $$q$$-series lifting a one-parameter family of Lie idempotents. Zbl 1200.18004
Chapoton, Frédéric
2009
Singular homology of arithmetic schemes. Zbl 1184.19002
Schmidt, Alexander
2007
Complexes of injective $$kG$$-modules. Zbl 1167.20006
Benson, David John; Krause, Henning
2008
Construction of $$(\phi,\Gamma)$$-modules: $$p$$-adic representations and $$B$$-pairs. (Construction de $$(\phi,\Gamma)$$-modules: représentations $$p$$-adiques et $$B$$-paires.) Zbl 1219.11078
Berger, Laurent
2008
Quantized mixed tensor space and Schur-Weyl duality. Zbl 1290.17012
Dipper, Richard; Doty, Stephen; Stoll, Friederike
2013
Powers of ideals and the cohomology of stalks and fibers of morphisms. Zbl 1270.13008
Chardin, Marc
2013
Classes of motivic étale cycles. (Classes de cycles motiviques étales.) Zbl 1263.14011
Kahn, Bruno
2012
Parameterizing tropical curves. I: Curves of genus zero and one. Zbl 1301.14035
Speyer, David E.
2014
Discriminant formulas and applications. Zbl 1356.16035
Chan, Kenneth; Young, Alexander; Zhang, James
2016
Bifurcations, intersections, and heights. Zbl 1391.37076
DeMarco, Laura
2016
Big Cohen-Macaulay algebras and the vanishing conjecture for maps of Tor in mixed characteristic. Zbl 1411.13024
Heitmann, Raymond; Ma, Linquan
2018
Weak Hopf monoids in braided monoidal categories. Zbl 1185.16035
Pastro, Craig; Street, Ross
2009
On nondegeneracy of curves. Zbl 1177.14089
Castryck, Wouter; Voight, John
2009
Dual graded graphs for Kac-Moody algebras. Zbl 1200.05249
Lam, Thomas F.; Shimozono, Mark
2007
Group actions and rational ideals. Zbl 1166.16015
Lorenz, Martin
2008
Irreducibility of the Gorenstein loci of Hilbert schemes via ray families. Zbl 1349.14011
Casnati, Gianfranco; Jelisiejew, Joachim; Notari, Roberto
2015
The umbral moonshine module for the unique unimodular Niemeier root system. Zbl 1396.17015
Duncan, John F. R.; Harvey, Jeffrey A.
2017
Bounded gaps between primes with a given primitive root. Zbl 1392.11073
Pollack, Paul
2014
On direct images of pluricanonical bundles. Zbl 1319.14022
Popa, Mihnea; Schnell, Christian
2014
Geometry of quiver Grassmannians of Kronecker type and applications to cluster algebras. Zbl 1267.13043
Cerulli Irelli, Giovanni; Esposito, Francesco
2011
Spherical varieties and integral representations of L-functions. Zbl 1253.11059
Sakellaridis, Yiannis
2012
Ekedahl-Oort strata of hyperelliptic curves in characteristic 2. Zbl 1282.11065
Elkin, Arsen; Pries, Rachel
2013
Zeros of real irreducible characters of finite groups. Zbl 1295.20006
Marinelli, Selena; Tiep, Pham Huu
2013
Explicit Chabauty over number fields. Zbl 1330.11043
Siksek, Samir
2013
On the ranks of the 2-Selmer groups of twists of a given elliptic curve. Zbl 1300.11061
Kane, Daniel M.
2013
Identifying Frobenius elements in Galois groups. Zbl 1368.11115
2013
$$p$$-adic estimates of exponential sums on curves. Zbl 07319557
Kramer-Miller, Joe
2021
Harmonic theta series and the Kodaira dimension of $$\mathcal{A}_6$$. Zbl 07319561
Dittmann, Moritz; Salvati Manni, Riccardo; Scheithauer, Nils R.
2021
Skeletons of Prym varieties and Brill-Noether theory. Zbl 07351566
Len, Yoav; Ulirsch, Martin
2021
Patching and multiplicity $$2^k$$ for Shimura curves. Zbl 07351582
Manning, Jeffrey
2021
The Navarro conjecture for the alternating groups. Zbl 07365063
Brunat, Olivier; Nath, Rishi
2021
On the definition of quantum Heisenberg category. Zbl 07213903
Brundan, Jonathan; Savage, Alistair; Webster, Ben
2020
Gorenstein-projective and semi-Gorenstein-projective modules. Zbl 1441.16016
Ringel, Claus Michael; Zhang, Pu
2020
Motivic Gauss-Bonnet formulas. Zbl 1458.14029
Levine, Marc; Raksit, Arpon
2020
Classification of some vertex operator algebras of rank 3. Zbl 07248668
Franc, Cameron; Mason, Geoffrey
2020
Elliptic curves over totally real cubic fields are modular. Zbl 07248672
Derickx, Maarten; Najman, Filip; Siksek, Samir
2020
Iterated local cohomology groups and Lyubeznik numbers for determinantal rings. Zbl 1453.13053
Lőrincz, András C.; Raicu, Claudiu
2020
Iwasawa main conjecture for Rankin-Selberg $$p$$-adic $$L$$-functions. Zbl 07213906
Wan, Xin
2020
Mixed Tate motives and the unit equation. II. Zbl 1452.11076
Dan-Cohen, Ishai
2020
Roots of $$L$$-functions of characters over function fields, generic linear independence and biases. Zbl 1459.11228
Perret-Gentil, Corentin
2020
Pro-unipotent harmonic actions and dynamical properties of $$p$$-adic cyclotomic multiple zeta values. Zbl 07248670
Jarossay, David
2020
Toroidal orbifolds, destackification, and Kummer blowings up. Zbl 1467.14003
Abramovich, Dan; Temkin, Michael; Włodarczyk, Jarosław
2020
Quadratic Chabauty for (bi)elliptic curves and Kim’s conjecture. Zbl 07275231
Bianchi, Francesca
2020
On the locus of 2-dimensional crystalline representations with a given reduction modulo $$p$$. Zbl 07213911
Rozensztajn, Sandra
2020
The 16-rank of $$\mathbb{Q}(\sqrt{-p})$$. Zbl 1451.11120
Koymans, Peter
2020
Generating series of a new class of orthogonal Shimura varieties. Zbl 07299333
Rosu, Eugenia; Yott, Dylan
2020
On the group of purely inseparable points of an abelian variety defined over a function field of positive characteristic. II. Zbl 07244792
Rössler, Damian
2020
$$p$$-adic distribution of CM points and Hecke orbits. I: Convergence towards the Gauss point. Zbl 07244794
Herrero, Sebastián; Menares, Ricardo; Rivera-Letelier, Juan
2020
The Hilbert scheme of hyperelliptic Jacobians and moduli of Picard sheaves. Zbl 1443.14005
Ricolfi, Andrea T.
2020
Gowers norms control diophantine inequalities. Zbl 07248665
Walker, Aled
2020
Generically free representations. I: Large representations. Zbl 07248667
Garibaldi, Skip; Guralnick, Robert
2020
Burgess bounds for short character sums evaluated at forms. Zbl 1464.11085
Pierce, Lillian B.; Xu, Junyan
2020
Galois action on the principal block and cyclic Sylow subgroups. Zbl 07248677
Rizo, Noelia; Schaeffer Fry, A. A.; Vallejo, Carolina
2020
Auslander correspondence for triangulated categories. Zbl 1451.18031
Hanihara, Norihiro
2020
Burch ideals and Burch rings. Zbl 1459.13010
Dao, Hailong; Kobayashi, Toshinori; Takahashi, Ryo
2020
Most words are geometrically almost uniform. Zbl 07275225
Larsen, Michael Jeffrey
2020
On iterated product sets with shifts, II. Zbl 07275227
Hanson, Brandon; Roche-Newton, Oliver; Zhelezov, Dmitrii
2020
The Brauer group of the moduli stack of elliptic curves. Zbl 1459.14007
Antieau, Benjamin; Meier, Lennart
2020
Invertible functions on nonarchimedean symmetric spaces. Zbl 1453.32027
Gekeler, Ernst-Ulrich
2020
On a cohomological generalization of the Shafarevich conjecture for $$K3$$ surfaces. Zbl 1460.14082
Takamatsu, Teppei
2020
Positivity results for spaces of rational curves. Zbl 1442.14048
Beheshti, Roya; Riedl, Eric
2020
Generalized Schur algebras. Zbl 1457.16033
Kleshchev, Alexander; Muth, Robert
2020
The distribution of $$p$$-torsion in degree $$p$$ cyclic fields. Zbl 1450.11118
Klys, Jack
2020
Deformations of smooth complete toric varieties: obstructions and the cup product. Zbl 1456.14063
Ilten, Nathan; Turo, Charles
2020
A moving lemma for relative 0-cycles. Zbl 1440.14036
Krishna, Amalendu; Park, Jinhyun
2020
Stability in the homology of unipotent groups. Zbl 07180783
Putman, Andrew; Sam, Steven V.; Snowden, Andrew
2020
On the orbits of multiplicative pairs. Zbl 1447.11103
Klurman, Oleksiy; Mangerel, Alexander P.
2020
Birationally superrigid Fano 3-folds of codimension 4. Zbl 07180785
2020
Coble fourfold, $$\mathfrak{S}_6$$-invariant quartic threefolds, and Wiman-Edge sextics. Zbl 1458.14019
Cheltsov, Ivan; Kuznetsov, Alexander; Shramov, Konstantin
2020
Coherent Tannaka duality and algebraicity of Hom-stacks. Zbl 1423.14010
Hall, Jack; Rydh, David
2019
Ulrich bundles on $$K3$$ surfaces. Zbl 1436.14081
Faenzi, Daniele
2019
An improved bound for the lengths of matrix algebras. Zbl 1419.15018
Shitov, Yaroslav
2019
Extended eigenvarieties for overconvergent cohomology. Zbl 1444.11078
Johansson, Christian; Newton, James
2019
Moduli of stable maps in genus one and logarithmic geometry. II. Zbl 07118652
Ranganathan, Dhruv; Santos-Parker, Keli; Wise, Jonathan
2019
Ordinary algebraic curves with many automorphisms in positive characteristic. Zbl 1428.14048
Korchmáros, Gábor; Montanucci, Maria
2019
Functorial factorization of birational maps for qe schemes in characteristic 0. Zbl 1442.14042
Abramovich, Dan; Temkin, Michael
2019
Surjectivity of Galois representations in rational families of abelian varieties. Zbl 07083100
Landesman, Aaron; Swaminathan, Ashvin; Tao, James; Xu, Yujie
2019
On the paramodularity of typical abelian surfaces. Zbl 1466.11019
Brumer, Armand; Pacetti, Ariel; Poor, Cris; Tornaría, Gonzalo; Voight, John; Yuen, David
2019
Effective generation and twisted weak positivity of direct images. Zbl 1423.14048
Dutta, Yajnaseni; Murayama, Takumi
2019
The structure of correlations of multiplicative functions at almost all scales, with applications to the Chowla and Elliott conjectures. Zbl 07141311
Tao, Terence; Teräväinen, Joni
2019
VI-modules in nondescribing characteristic. I. Zbl 1461.20004
Nagpal, Rohit
2019
Artin-Mazur-Milne duality for fppf cohomology. Zbl 07154431
Demarche, Cyril; Harari, David
2019
$$G$$-valued local deformation rings and global lifts. Zbl 1455.11077
Bellovin, Rebecca; Gee, Toby
2019
Lovász-Saks-Schrijver ideals and coordinate sections of determinantal varieties. Zbl 1407.05254
Conca, Aldo; Welker, Volkmar
2019
Fundamental gerbes. Zbl 1412.14001
Borne, Niels; Vistoli, Angelo
2019
Differential characters of Drinfeld modules and de Rham cohomology. Zbl 1451.11058
Borger, James; Saha, Arnab
2019
Cycle integrals of modular functions, Markov geodesics and a conjecture of Kaneko. Zbl 07059760
Bengoechea, Paloma; Imamoglu, Özlem
2019
Degree of irrationality of very general abelian surfaces. Zbl 1441.14144
Chen, Nathan
2019
Brody hyperbolicity of base spaces of certain families of varieties. Zbl 1444.14035
Popa, Mihnea; Taji, Behrouz; Wu, Lei
2019
A unified and improved Chebotarev density theorem. Zbl 1443.11239
Thorner, Jesse; Zaman, Asif
2019
Weyl bound for $$p$$-power twist of $$\mathrm{GL}(2)L$$-functions. Zbl 1461.11077
Munshi, Ritabrata; Singh, Saurabh Kumar
2019
Examples of Hypergeometric twistor $$\mathcal{D}$$-modules. Zbl 1440.14099
Castaño Domínguez, Alberto; Reichelt, Thomas; Sevenheck, Christian
2019
Supercuspidal representations of $$\mathrm{GL}_n(\mathrm{F})$$ distinguished by a Galois involution. Zbl 1432.22019
Sécherre, Vincent
2019
A tubular variant of Runge’s method in all dimensions, with applications to integral points on Siegel modular varieties. Zbl 1448.11119
Le Fourn, Samuel
2019
High moments of the Estermann function. Zbl 07042060
Bettin, Sandro
2019
Fermat’s theorem over some totally real number fields. (Le théorème de Fermat sur certains corps de nombres totalement réels.) Zbl 1441.11063
Kraus, Alain
2019
Essential dimension of inseparable field extensions. Zbl 1415.12004
Reichstein, Zinovy; Shukla, Abhishek
2019
Quadratic twists of abelian varieties and disparity in Selmer ranks. Zbl 1455.11087
2019
Iwasawa theory for Rankin-Selberg products of $$p$$-nonordinary eigenforms. Zbl 1443.11226
Büyükboduk, Kâzım; Lei, Antonio; Loeffler, David; Venkat, Guhan
2019
A finiteness theorem for specializations of dynatomic polynomials. Zbl 1442.37121
Krumm, David
2019
A probabilistic approach to systems of parameters and Noether normalization. Zbl 1431.13011
Bruce, Juliette; Erman, Daniel
2019
The elliptic KZB connection and algebraic de Rham theory for unipotent fundamental groups of elliptic curves. Zbl 07154429
Luo, Ma
2019
Moments of random multiplicative functions. II: High moments. Zbl 07154430
2019
Betti numbers of Shimura curves and arithmetic three-orbifolds. Zbl 1456.11110
Frączyk, Mikołaj; Raimbault, Jean
2019
The construction problem for Hodge numbers modulo an integer. Zbl 1439.32047
Paulsen, Matthias; Schreieder, Stefan
2019
On the Brauer-Siegel ratio for abelian varieties over function fields. Zbl 07083102
Ulmer, Douglas
2019
Positivity functions for curves on algebraic varieties. Zbl 1422.14018
Lehmann, Brian; Xiao, Jian
2019
The congruence topology, Grothendieck duality and thin groups. Zbl 1448.11080
Lubotzky, Alexander; Venkataramana, Tyakal Nanjundiah
2019
Algebraic monodromy groups of $$l$$-adic representations of $$\mathrm{Gal}(\overline{\mathbb{Q}}/\mathbb{Q})$$. Zbl 07103977
Tang, Shiang
2019
Unlikely intersections in semiabelian surfaces. Zbl 1423.14254
Bertrand, Daniel; Schmidt, Harry
2019
Crystalline comparison isomorphisms in $$p$$-adic Hodge theory: the absolutely unramified case. Zbl 1454.14060
Tan, Fucheng; Tong, Jilong
2019
Pseudorepresentations of weight one are unramified. Zbl 1445.11033
Calegari, Frank; Specter, Joel
2019
Multiplicity one for wildly ramified representations. Zbl 07118653
Le, Daniel
2019
Manin’s $$b$$-constant in families. Zbl 1423.14112
Sengupta, Akash Kumar
2019
Cohomological and numerical dynamical degrees on abelian varieties. Zbl 1441.14083
Hu, Fei
2019
Graded Steinberg algebras and their representations. Zbl 1387.22005
Ara, Pere; Hazrat, Roozbeh; Li, Huanhuan; Sims, Aidan
2018
Big Cohen-Macaulay algebras and the vanishing conjecture for maps of Tor in mixed characteristic. Zbl 1411.13024
Heitmann, Raymond; Ma, Linquan
2018
Semistable Chow-Hall algebras of quivers and quantized Donaldson-Thomas invariants. Zbl 1423.14314
Franzen, Hans; Reineke, Markus
2018
$$D$$-groups and the Dixmier-Moeglin equivalence. Zbl 06880891
Bell, Jason; León Sánchez, Omar; Moosa, Rahim
2018
Pseudo-exponential maps, variants, and quasiminimality. Zbl 06890760
Bays, Martin; Kirby, Jonathan
2018
Microlocal lifts and quantum unique ergodicity on $$\mathrm{GL}_2(\mathbb Q_p)$$. Zbl 1406.58019
Nelson, Paul D.
2018
The Euclidean distance degree of smooth complex projective varieties. Zbl 1435.14009
Aluffi, Paolo; Harris, Corey
2018
The mean value of symmetric square $$L$$-functions. Zbl 1445.11039
Balkanova, Olga; Frolenkov, Dmitry
2018
Quadric surface bundles over surfaces and stable rationality. Zbl 1397.14026
Schreieder, Stefan
2018
Mean square in the prime geodesic theorem. Zbl 1422.11122
Cherubini, Giacomo; Guerreiro, João
2018
Arithmetic functions in short intervals and the symmetric group. Zbl 1406.11094
2018
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#### Cited by 3,805 Authors

 23 Schwede, Karl E. 14 Fisher, Tom A. 14 Merkur’ev, Aleksandr Sergeevich 14 Schiffler, Ralf 13 Lei, Antonio 13 Tiep Pham Huu 12 Bell, Jason P. 12 Feigin, Evgeny 12 Mirò-Roig, Rosa Maria 12 Pechenik, Oliver 12 Ranganathan, Dhruv 12 Reineke, Markus 12 Sam, Steven V. 12 Schroll, Sibylle 12 Sturmfels, Bernd 12 Takahashi, Ryo 11 Cerulli Irelli, Giovanni 11 Raicu, Claudiu 11 Shparlinski, Igor E. 11 Solotar, Andrea Leonor 10 Berman, David L’vovich 10 Draisma, Jan 10 Navarro, Gabriel 10 Pollack, Paul 10 Rowell, Eric C. 10 Stoll, Michael 10 Witherspoon, Sarah J. 9 Bhargava, Manjul 9 Cuntz, Michael Joachim 9 Freitas, Nuno 9 Gee, Toby 9 Jahnel, Jörg 9 Kahle, Thomas 9 Lan, Kai-Wen 9 Ma, Linquan 9 Nikshych, Dmitri 9 Pries, Rachel J. 9 Xiao, Liang 9 Yong, Alexander 8 Assem, Ibrahim 8 Benson, David John 8 Bergh, Petter Andreas 8 Choie, YoungJu 8 Derenthal, Ulrich 8 Dong, Chongying 8 Elsenhans, Andreas-Stephan 8 Erman, Daniel 8 Guralnick, Robert Michael 8 Kadison, Lars 8 Lehmann, Brian 8 Nagel, Uwe 8 Payne, Sam 8 Plavnik, Julia Yael 8 Reichstein, Zinovy B. 8 Schütt, Matthias 8 Silverman, Joseph Hillel 8 Sperber, Steven I. 8 Thorne, Jack A. 8 Webster, Ben 7 Angiono, Iván Ezequiel 7 Bhatt, Bhargav 7 Bryan, Jim 7 Burciu, Sebastian M. 7 Büyükboduk, Kâzim 7 Canakci, Ilke 7 Cavalieri, Renzo 7 Colliot-Thélène, Jean-Louis 7 Cools, Filip 7 Etingof, Pavel Il’ich 7 Galindo Martínez, César Neyit 7 Ghioca, Dragos 7 Heckenberger, István 7 Iyengar, Srikanth B. 7 Jelisiejew, Joachim 7 Katzarkov, Ludmil 7 Katzman, Mordechai 7 Kedlaya, Kiran Sridhara 7 Krishna, Amalendu 7 Loeffler, David 7 Lombardo, Davide M. 7 Michałek, Mateusz 7 Morrison, Ralph 7 Nisse, Mounir 7 Park, Jinhyung 7 Poonen, Bjorn 7 Positselski, Leonid Efimovich 7 Rassias, Michael Th. 7 Redondo, María Julia 7 Schmidt, Alexander 7 Siksek, Samir 7 Tao, Terence 7 Thiem, Nathaniel 7 Toda, Yukinobu 7 Tucker, Kevin 7 Voight, John Michael 6 Amiot, Claire 6 Balkanova, Ol’ga Germanovna 6 Ballard, Matthew Robert 6 Baur, Karin 6 Böhm, Gabriella ...and 3,705 more Authors
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#### Cited in 297 Journals

 256 Journal of Algebra 182 Advances in Mathematics 138 Journal of Number Theory 121 Compositio Mathematica 119 Transactions of the American Mathematical Society 116 Journal of Pure and Applied Algebra 111 Mathematische Zeitschrift 93 Mathematische Annalen 91 Analysis Mathematica 86 Proceedings of the American Mathematical Society 68 Communications in Algebra 59 Inventiones Mathematicae 59 Algebra & Number Theory 57 Algebras and Representation Theory 51 Research in Number Theory 49 Selecta Mathematica. New Series 47 Duke Mathematical Journal 44 Annales de l’Institut Fourier 44 Journal de Théorie des Nombres de Bordeaux 44 Transformation Groups 41 Research in the Mathematical Sciences 38 Mathematics of Computation 38 Journal of the European Mathematical Society (JEMS) 36 Manuscripta Mathematica 35 International Journal of Number Theory 35 Forum of Mathematics, Sigma 34 Communications in Mathematical Physics 34 Israel Journal of Mathematics 33 Journal für die Reine und Angewandte Mathematik 31 Documenta Mathematica 30 Journal of Algebraic Combinatorics 30 Journal of the Institute of Mathematics of Jussieu 29 Journal of Combinatorial Theory. Series A 29 Journal of Algebraic Geometry 28 Acta Arithmetica 28 Journal of the American Mathematical Society 24 Mathematical Proceedings of the Cambridge Philosophical Society 24 Nagoya Mathematical Journal 24 Journal of Algebra and its Applications 23 Archiv der Mathematik 23 Linear Algebra and its Applications 22 Journal of High Energy Physics 20 The Ramanujan Journal 20 Annals of Mathematics. Second Series 19 Science China. Mathematics 18 Pacific Journal of Mathematics 17 Acta Mathematica Hungarica 17 European Journal of Mathematics 15 Experimental Mathematics 15 Representation Theory 15 LMS Journal of Computation and Mathematics 15 Journal of Commutative Algebra 14 Michigan Mathematical Journal 14 Journal of Symbolic Computation 14 Kyoto Journal of Mathematics 14 Algebraic Combinatorics 13 Journal of Geometry and Physics 13 Glasgow Mathematical Journal 13 Journal of the London Mathematical Society. Second Series 13 Memoirs of the American Mathematical Society 13 Forum Mathematicum 13 Bulletin of the American Mathematical Society. New Series 13 Finite Fields and their Applications 13 Annales Mathématiques du Québec 12 Collectanea Mathematica 12 Proceedings of the Edinburgh Mathematical Society. Series II 12 Advances in Applied Mathematics 12 International Journal of Mathematics 12 Applied Categorical Structures 11 Journal of Mathematical Physics 11 Letters in Mathematical Physics 11 Functiones et Approximatio. Commentarii Mathematici 11 Mathematika 11 Monatshefte für Mathematik 11 Proceedings of the London Mathematical Society. Third Series 11 Geometry & Topology 11 Comptes Rendus. Mathématique. Académie des Sciences, Paris 10 Russian Mathematical Surveys 10 Canadian Mathematical Bulletin 10 Geometriae Dedicata 10 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 10 Annals of Combinatorics 10 Acta Mathematica Sinica. English Series 10 Journal of Noncommutative Geometry 9 Discrete Mathematics 9 Rocky Mountain Journal of Mathematics 9 Acta Mathematica Vietnamica 9 Bulletin of the London Mathematical Society 9 Journal of the Mathematical Society of Japan 9 International Journal of Algebra and Computation 9 Journal de Mathématiques Pures et Appliquées. Neuvième Série 9 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 9 Forum of Mathematics, Pi 9 Journal de l’École Polytechnique – Mathématiques 8 Canadian Journal of Mathematics 8 Publications Mathématiques 8 European Journal of Combinatorics 8 Séminaire Lotharingien de Combinatoire 8 Journal of Group Theory 7 Annali di Matematica Pura ed Applicata. Serie Quarta ...and 197 more Journals
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#### Cited in 59 Fields

 1,615 Algebraic geometry (14-XX) 1,394 Number theory (11-XX) 540 Associative rings and algebras (16-XX) 523 Commutative algebra (13-XX) 429 Group theory and generalizations (20-XX) 325 Category theory; homological algebra (18-XX) 284 Combinatorics (05-XX) 233 Nonassociative rings and algebras (17-XX) 119 Several complex variables and analytic spaces (32-XX) 117 Topological groups, Lie groups (22-XX) 110 $$K$$-theory (19-XX) 98 Quantum theory (81-XX) 90 Dynamical systems and ergodic theory (37-XX) 83 Field theory and polynomials (12-XX) 63 Convex and discrete geometry (52-XX) 57 Linear and multilinear algebra; matrix theory (15-XX) 53 Algebraic topology (55-XX) 51 Harmonic analysis on Euclidean spaces (42-XX) 51 Manifolds and cell complexes (57-XX) 48 Special functions (33-XX) 46 Differential geometry (53-XX) 40 Functional analysis (46-XX) 37 Mathematical logic and foundations (03-XX) 37 Approximations and expansions (41-XX) 34 Computer science (68-XX) 32 Functions of a complex variable (30-XX) 32 Global analysis, analysis on manifolds (58-XX) 28 Probability theory and stochastic processes (60-XX) 25 Order, lattices, ordered algebraic structures (06-XX) 19 Partial differential equations (35-XX) 19 Relativity and gravitational theory (83-XX) 17 Geometry (51-XX) 16 Information and communication theory, circuits (94-XX) 14 Ordinary differential equations (34-XX) 14 Statistical mechanics, structure of matter (82-XX) 13 Numerical analysis (65-XX) 12 Measure and integration (28-XX) 10 Sequences, series, summability (40-XX) 10 Operator theory (47-XX) 10 Operations research, mathematical programming (90-XX) 9 Real functions (26-XX) 9 Statistics (62-XX) 8 History and biography (01-XX) 8 Abstract harmonic analysis (43-XX) 5 Difference and functional equations (39-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 General topology (54-XX) 5 Mechanics of deformable solids (74-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 General algebraic systems (08-XX) 4 Biology and other natural sciences (92-XX) 4 Systems theory; control (93-XX) 3 General and overarching topics; collections (00-XX) 3 Integral transforms, operational calculus (44-XX) 3 Mechanics of particles and systems (70-XX) 2 Potential theory (31-XX) 2 Integral equations (45-XX) 2 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX)