# zbMATH — the first resource for mathematics

## Katz, Sheldon

Compute Distance To:
 Author ID: katz.sheldon Published as: Katz, S.; Katz, Sheldon Homepage: http://www.math.uiuc.edu/~katz/ External Links: MGP · Wikidata · GND
 Documents Indexed: 83 Publications since 1983, including 4 Books
all top 5

#### Co-Authors

 20 single-authored 11 Klemm, Albrecht 10 Morrison, David R. 10 Vafa, Cumrun 6 Sharpe, Eric R. 5 Berglund, Per 5 Candelas, Philip 5 Donagi, Ron Y. 4 Dasgupta, Keshav 4 Font, Anamaría 4 Guffin, Josh 3 Choi, Jinwon 3 de la Ossa, Xenia C. 3 Huang, Minxin 3 Tatar, Radu 2 Albano, Alberto 2 Anderson, Lara B. 2 Aspinwall, Paul S. 2 Cox, David A. 2 Crauder, Bruce 2 Gwyn, Rhiannon 2 Heckman, Jonathan J. 2 Kim, Hee-Cheol 2 Knauf, Anke 2 Liu, Chiu-Chu Melissa 2 Mayr, Peter 2 Pandharipande, Rahul 2 Qin, Zhenbo 2 Ronen Plesser, M. 2 Sederberg, Thomas W. 2 Takahashi, Nobuyoshi 2 Thomas, Richard Paul 2 van Garrel, Michel 1 Becker, Melanie 1 Bryan, Jim 1 Cachazo, Freddy 1 Căldăraru, Andrei 1 Chen, Fang 1 Christiansen, H. N. 1 Douglas, Michael R. 1 Ein, Lawrence Man Hon 1 Eisenbud, David 1 Fiol, Bartomeu 1 Franche, Paul 1 Grisaru, Marc 1 Hori, Kentaro 1 Hulek, Klaus 1 Intriligator, Ken 1 Jefferson, Patrick 1 Jockers, Hans 1 Lee, Yuan-Pin 1 Leung, Naichung Conan 1 Li, Wei-Ping 1 Pantev, Tony G. 1 Ruan, Yongbin 1 Schäfer-Nameki, Sakura 1 Schaposnik, Laura P. 1 Schreyer, Frank-Olaf 1 Sully, James 1 Tarazi, Houri-Christina 1 Vakil, Ravi 1 Wijnholt, Martijn P. 1 Zaslow, Eric
all top 5

#### Serials

 20 Nuclear Physics. B 8 Journal of High Energy Physics 7 Advances in Theoretical and Mathematical Physics 4 Communications in Mathematical Physics 3 Mathematische Zeitschrift 3 Journal of Algebraic Geometry 2 American Journal of Mathematics 2 Duke Mathematical Journal 2 Transactions of the American Mathematical Society 1 Compositio Mathematica 1 Journal of Differential Geometry 1 Manuscripta Mathematica 1 Pacific Journal of Mathematics 1 Computer Aided Geometric Design 1 CAD. Computer-Aided Design 1 IMRN. International Mathematics Research Notices 1 Nuclear Physics, B, Proceedings Supplements 1 Mathematical Research Letters 1 The Asian Journal of Mathematics 1 Pure and Applied Mathematics Quarterly 1 Mathematical Surveys and Monographs 1 Proceedings of Symposia in Pure Mathematics 1 Student Mathematical Library 1 Clay Mathematics Monographs
all top 5

#### Fields

 69 Algebraic geometry (14-XX) 41 Quantum theory (81-XX) 27 Several complex variables and analytic spaces (32-XX) 18 Relativity and gravitational theory (83-XX) 8 Differential geometry (53-XX) 2 Geometry (51-XX) 2 Numerical analysis (65-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Category theory; homological algebra (18-XX) 1 Topological groups, Lie groups (22-XX) 1 Sequences, series, summability (40-XX) 1 Manifolds and cell complexes (57-XX)

#### Citations contained in zbMATH Open

76 Publications have been cited 2,208 times in 1,439 Documents Cited by Year
Mirror symmetry. Zbl 1044.14018
Hori, Kentaro; Katz, Sheldon; Klemm, Albrecht; Pandharipande, Rahul; Thomas, Richard; Vafa, Cumrun; Vakil, Ravi; Zaslow, Eric
2003
Mirror symmetry and algebraic geometry. Zbl 0951.14026
Cox, David A.; Katz, Sheldon
1999
Geometric engineering of quantum field theories. Zbl 0935.81058
Katz, Sheldon; Klemm, Albrecht; Vafa, Cumrun
1997
Matter from geometry. Zbl 0935.81056
Katz, Sheldon; Vafa, Cumrun
1997
Mirror symmetry and exact solution of $$4D$$ $$N=2$$ gauge theories. I. Zbl 0912.32016
Katz, Sheldon; Mayr, Peter; Vafa, Cumrun
1997
A geometric unification of dualities. Zbl 0992.83072
Cachazo, F.; Fiol, B.; Intriligator, K.; Katz, S.; Vafa, C.
2002
Small instantons, del Pezzo surfaces and type I$$^\prime$$ theory. Zbl 0935.81057
Douglas, Michael R.; Katz, Sheldon; Vafa, Cumrun
1997
M-theory, topological strings and spinning black holes. Zbl 0985.81081
Katz, Sheldon; Klemm, Albrecht; Vafa, Cumrun
1999
Enhanced gauge symmetry in type II string theory. Zbl 0925.81188
Katz, Sheldon; Morrison, David R.; Ronen Plesser, M.
1996
Mirror symmetry for two-parameter models. I. Zbl 0899.14017
Candelas, Philip; de la Ossa, Xenia; Font, Anamaría; Katz, Sheldon; Morrison, David R.
1994
Tate’s algorithm and F-theory. Zbl 1298.81307
Katz, Sheldon; Morrison, David R.; Schäfer-Nameki, Sakura; Sully, James
2011
Gorenstein threefold singularities with small resolutions via invariant theory for Weyl groups. Appendix 0: A good generating set in the case of $$E 8$$. Appendix 1: Standard coordinates of $$E 6$$. Appendix 2: Standard coordinates of $$E 7$$. Zbl 0788.14036
Katz, Sheldon; Morrison, David R.
1992
On geometric classification of 5d SCFTs. Zbl 1390.81603
Jefferson, Patrick; Katz, Sheldon; Kim, Hee-Cheol; Vafa, Cumrun
2018
The refined BPS index from stable pair invariants. Zbl 1315.14070
Choi, Jinwon; Katz, Sheldon; Klemm, Albrecht
2014
T-branes and geometry. Zbl 1333.81300
Anderson, Lara B.; Heckman, Jonathan J.; Katz, Sheldon
2014
Geometric engineering of $$N=1$$ quantum field theories. Zbl 0935.81059
Katz, Sheldon; Vafa, Cumrun
1997
Enumerative geometry of stable maps with Lagrangian boundary conditions and multiple covers of the disc. Zbl 1026.32028
Katz, Sheldon; Liu, Chiu-Chu Melissa
2001
Notes on certain $$(0,2)$$ correlation functions. Zbl 1109.81066
Katz, Sheldon; Sharpe, Eric
2006
Genus zero Gopakumar-Vafa invariants of contractible curves. Zbl 1142.32011
Katz, Sheldon
2008
Topological string on elliptic CY 3-folds and the ring of Jacobi forms. Zbl 1388.81219
Huang, Min-xin; Katz, Sheldon; Klemm, Albrecht
2015
Spectra of D-branes with Higgs vevs. Zbl 1092.81056
Donagi, Ron; Katz, Sheldon; Sharpe, Eric
2004
New Higgs transitions between dual $$N=2$$ string models. Zbl 0925.14012
Berglund, Per; Katz, Sheldon; Klemm, Albrecht; Mayr, Peter
1997
Mirror symmetry for two-parameter models. II. Zbl 1020.32506
Candelas, Philip; Font, Anamaría; Katz, Sheldon; Morrison, David R.
1994
Lie groups, Calabi-Yau threefolds, and F-theory. Zbl 0992.81060
Aspinwall, Paul S.; Katz, Sheldon; Morrison, David R.
2000
Computation of superpotentials for D-branes. Zbl 1109.81062
Aspinwall, Paul S.; Katz, Sheldon
2006
On the finiteness of rational curves on quintic threefolds. Zbl 0606.14039
Katz, Sheldon
1986
Mirror symmetry for Calabi-Yau hypersurfaces in weighted $$\mathbb{P}_4$$ and extensions of Landau-Ginzburg theory. Zbl 0896.14023
Candelas, P.; de la Ossa, X.; Katz, S.
1995
Mirror symmetry and the moduli space for generic hypersurfaces in toric varieties. Zbl 0899.32007
Berglund, P.; Katz, S.; Klemm, A.
1995
Multiple covers and the integrality conjecture for rational curves in Calabi-Yau threefolds. Zbl 1045.14019
Bryan, Jim; Katz, Sheldon; Leung, Naichung Conan
2001
T-branes at the limits of geometry. Zbl 1383.83148
Anderson, Lara B.; Heckman, Jonathan J.; Katz, Sheldon; Schaposnik, Laura P.
2017
A mathematical theory of quantum sheaf cohomology. Zbl 1300.32022
Donagi, Ron; Guffin, Josh; Katz, Sheldon; Sharpe, Eric
2014
Physical aspects of quantum sheaf cohomology for deformations of tangent bundles of toric varieties. Zbl 1306.81217
Donagi, Ron; Guffin, Josh; Katz, Sheldon; Sharpe, Eric
2013
Cremona transformations and syzygies. Zbl 0767.14005
Hulek, Klaus; Katz, Sheldon; Schreyer, Frank-Olaf
1992
Cremona transformations with smooth irreducible fundamental locus. Zbl 0699.14015
Crauder, Bruce; Katz, Sheldon
1989
Weak coupling, degeneration and log Calabi-Yau spaces. Zbl 1305.81119
Donagi, Ron; Katz, Sheldon; Wijnholt, Martijn
2013
Mirror symmetry for two-parameter models. II. Zbl 0899.14018
Candelas, Philip; Font, Anamaría; Katz, Sheldon; Morrison, David R.
1994
On the motivic stable pairs invariants of $$K3$$ surfaces. Zbl 1349.14138
Katz, S.; Klemm, A.; Pandharipande, R.; Thomas, R. P.
2016
Deformed quantum cohomology and (0,2) mirror symmetry. Zbl 1290.81120
Guffin, Josh; Katz, Sheldon
2010
D-branes, orbifolds, and Ext groups. Zbl 1058.81062
Katz, Sheldon; Pantev, Tony; Sharpe, Eric
2003
Supersymmetric configurations, geometric transitions and new non-Kähler manifolds. Zbl 1229.81228
Chen, Fang; Dasgupta, Keshav; Franche, Paul; Katz, Sheldon; Tatar, Radu
2011
Geometric transitions, flops and non-Kähler manifolds. II. Zbl 1110.81148
Becker, Melanie; Dasgupta, Keshav; Katz, Sheldon; Knauf, Anke; Tatar, Radu
2006
D-branes, $$B$$ fields, and ext groups. Zbl 1055.81598
Căldăraru, Andrei; Katz, Sheldon; Sharpe, Eric
2003
Degenerations of quintic threefolds and their lines. Zbl 0616.14035
Katz, Sheldon
1983
Cremona transformations and Hartshorne’s conjecture. Zbl 0754.14009
Crauder, Bruce; Katz, Sheldon
1991
Lines on the Fermat quintic threefold and the infinitesimal generalized Hodge conjecture. Zbl 0767.14016
Albano, Alberto; Katz, Sheldon
1991
Improved test for closed loops in surface intersections. Zbl 0688.65011
Sederberg, T. W.; Christiansen, H. N.; Katz, S.
1989
Genus of the intersection curve of two rational surface patches. Zbl 0648.65011
Katz, Sheldon; Sederberg, Thomas W.
1988
The cubo-cubic transformation of $${\mathbb P}^ 3$$ is very special. Zbl 0598.14010
Katz, Sheldon
1987
Lines on complete intersection threefolds with $$K=0$$. Zbl 0563.14020
Katz, Sheldon
1986
Gromov-Witten, Gopakumar-Vafa, and Donaldson-Thomas invariants of Calabi-Yau threefolds. Zbl 1171.14305
Katz, Sheldon
2006
Mirror symmetry constructions: A review. Zbl 0919.14023
Berglund, Per; Katz, Sheldon
1997
Rational curves on Calabi-Yau manifolds: Verifying predictions of mirror symmetry. Zbl 0839.14043
Katz, Sheldon
1994
Rational curves on Calabi-Yau threefolds. Zbl 0835.14015
Katz, Sheldon
1992
Enumeration of nodal genus-2 plane curves with fixed complex structure. Zbl 0946.14031
Katz, Sheldon; Qin, Zhenbo; Ruan, Yongbin
1998
Small resolutions of Gorenstein threefold singularities. Zbl 0755.14002
Katz, Sheldon
1991
Swampland constraints on 5d $$\mathcal{N} = 1$$ supergravity. Zbl 1451.83109
Katz, Sheldon; Kim, Hee-Cheol; Tarazi, Houri-Christina; Vafa, Cumrun
2020
$$\mathrm{SU}(N)$$ transitions in M-theory on Calabi-Yau fourfolds and background fluxes. Zbl 1361.81094
Jockers, Hans; Katz, Sheldon; Morrison, David R.; Ronen Plesser, M.
2017
Versal deformations and superpotentials for rational curves in smooth threefolds. Zbl 1057.14052
Katz, Sheldon
2002
Mirror symmetry for two parameter models. I. Zbl 0917.14023
Candelas, Philip; de la Ossa, Xenia; Font, Anamaría; Katz, Sheldon; Morrison, David R.
1997
Varieties cut out by quadrics: Scheme-theoretic versus homogeneous generation of ideals. Zbl 0699.14064
Ein, Lawrence; Eisenbud, David; Katz, Sheldon
1988
Gauge-gravity dualities, dipoles and new non-Kähler manifolds. Zbl 1215.83048
Dasgupta, Keshav; Grisaru, Marc; Gwyn, Rhiannon; Katz, Sheldon; Knauf, Anke; Tatar, Radu
2006
Enumerative geometry of stable maps with Lagrangian boundary conditions and multiple covers of the disc. Zbl 1107.14302
Katz, Sheldon; Liu, Chiu-Chu Melissa
2006
Mirror symmetry for hypersurfaces in weighted projective space and topological couplings. Zbl 0990.32500
Berglund, Per; Katz, Sheldon
1994
The desingularization of $$\text{Hilb}^ 4 \mathbb{P}^ 3$$ and its Betti numbers. Zbl 0839.14001
Katz, Sheldon
1994
Elliptically fibered Calabi-Yau manifolds and the ring of Jacobi forms. Zbl 1329.14081
Huang, Min-xin; Katz, Sheldon; Klemm, Albrecht
2015
Enumerative geometry and string theory. Zbl 1091.14001
Katz, Sheldon
2006
Gromov-Witten invariants via algebraic geometry. Zbl 0957.14510
Katz, Sheldon
1996
Van Geemen’s families of lines on special quintic threefolds. Zbl 0739.14025
Albano, Alberto; Katz, Sheldon
1991
Tangents to a multiple plane curve. Zbl 0563.53001
Katz, Sheldon
1986
On certain moduli spaces of ideal sheaves and Donaldson-Thomas invariants. Zbl 1129.14008
Katz, Sheldon; Li, Weiping; Qin, Zhenbo
2007
Dipole-deformed bound states and heterotic Kodaira surfaces. Zbl 1117.83108
Dasgupta, Keshav; Guffin, Josh; Gwyn, Rhiannon; Katz, Sheldon
2007
Virtual fundamental classes of zero loci. Zbl 1065.14014
Cox, David A.; Katz, Sheldon; Lee, Yuan-Pin
2001
Mirror symmetry for hypersurfaces in weighted projective space and topological couplings. Zbl 0896.14020
Berglund, Per; Katz, Sheldon
1994
Arithmetically Cohen-Macaulay curves cut out by quadrics. Zbl 0838.14042
Katz, Sheldon
1993
Recent work on Cremona transformations. Zbl 0768.14004
Katz, Sheldon
1992
Discriminants and limits of duals of plane curves. Zbl 0794.14019
Katz, Sheldon
1991
Swampland constraints on 5d $$\mathcal{N} = 1$$ supergravity. Zbl 1451.83109
Katz, Sheldon; Kim, Hee-Cheol; Tarazi, Houri-Christina; Vafa, Cumrun
2020
On geometric classification of 5d SCFTs. Zbl 1390.81603
Jefferson, Patrick; Katz, Sheldon; Kim, Hee-Cheol; Vafa, Cumrun
2018
T-branes at the limits of geometry. Zbl 1383.83148
Anderson, Lara B.; Heckman, Jonathan J.; Katz, Sheldon; Schaposnik, Laura P.
2017
$$\mathrm{SU}(N)$$ transitions in M-theory on Calabi-Yau fourfolds and background fluxes. Zbl 1361.81094
Jockers, Hans; Katz, Sheldon; Morrison, David R.; Ronen Plesser, M.
2017
On the motivic stable pairs invariants of $$K3$$ surfaces. Zbl 1349.14138
Katz, S.; Klemm, A.; Pandharipande, R.; Thomas, R. P.
2016
Topological string on elliptic CY 3-folds and the ring of Jacobi forms. Zbl 1388.81219
Huang, Min-xin; Katz, Sheldon; Klemm, Albrecht
2015
Elliptically fibered Calabi-Yau manifolds and the ring of Jacobi forms. Zbl 1329.14081
Huang, Min-xin; Katz, Sheldon; Klemm, Albrecht
2015
The refined BPS index from stable pair invariants. Zbl 1315.14070
Choi, Jinwon; Katz, Sheldon; Klemm, Albrecht
2014
T-branes and geometry. Zbl 1333.81300
Anderson, Lara B.; Heckman, Jonathan J.; Katz, Sheldon
2014
A mathematical theory of quantum sheaf cohomology. Zbl 1300.32022
Donagi, Ron; Guffin, Josh; Katz, Sheldon; Sharpe, Eric
2014
Physical aspects of quantum sheaf cohomology for deformations of tangent bundles of toric varieties. Zbl 1306.81217
Donagi, Ron; Guffin, Josh; Katz, Sheldon; Sharpe, Eric
2013
Weak coupling, degeneration and log Calabi-Yau spaces. Zbl 1305.81119
Donagi, Ron; Katz, Sheldon; Wijnholt, Martijn
2013
Tate’s algorithm and F-theory. Zbl 1298.81307
Katz, Sheldon; Morrison, David R.; Schäfer-Nameki, Sakura; Sully, James
2011
Supersymmetric configurations, geometric transitions and new non-Kähler manifolds. Zbl 1229.81228
Chen, Fang; Dasgupta, Keshav; Franche, Paul; Katz, Sheldon; Tatar, Radu
2011
Deformed quantum cohomology and (0,2) mirror symmetry. Zbl 1290.81120
Guffin, Josh; Katz, Sheldon
2010
Genus zero Gopakumar-Vafa invariants of contractible curves. Zbl 1142.32011
Katz, Sheldon
2008
On certain moduli spaces of ideal sheaves and Donaldson-Thomas invariants. Zbl 1129.14008
Katz, Sheldon; Li, Weiping; Qin, Zhenbo
2007
Dipole-deformed bound states and heterotic Kodaira surfaces. Zbl 1117.83108
Dasgupta, Keshav; Guffin, Josh; Gwyn, Rhiannon; Katz, Sheldon
2007
Notes on certain $$(0,2)$$ correlation functions. Zbl 1109.81066
Katz, Sheldon; Sharpe, Eric
2006
Computation of superpotentials for D-branes. Zbl 1109.81062
Aspinwall, Paul S.; Katz, Sheldon
2006
Geometric transitions, flops and non-Kähler manifolds. II. Zbl 1110.81148
Becker, Melanie; Dasgupta, Keshav; Katz, Sheldon; Knauf, Anke; Tatar, Radu
2006
Gromov-Witten, Gopakumar-Vafa, and Donaldson-Thomas invariants of Calabi-Yau threefolds. Zbl 1171.14305
Katz, Sheldon
2006
Gauge-gravity dualities, dipoles and new non-Kähler manifolds. Zbl 1215.83048
Dasgupta, Keshav; Grisaru, Marc; Gwyn, Rhiannon; Katz, Sheldon; Knauf, Anke; Tatar, Radu
2006
Enumerative geometry of stable maps with Lagrangian boundary conditions and multiple covers of the disc. Zbl 1107.14302
Katz, Sheldon; Liu, Chiu-Chu Melissa
2006
Enumerative geometry and string theory. Zbl 1091.14001
Katz, Sheldon
2006
Spectra of D-branes with Higgs vevs. Zbl 1092.81056
Donagi, Ron; Katz, Sheldon; Sharpe, Eric
2004
Mirror symmetry. Zbl 1044.14018
Hori, Kentaro; Katz, Sheldon; Klemm, Albrecht; Pandharipande, Rahul; Thomas, Richard; Vafa, Cumrun; Vakil, Ravi; Zaslow, Eric
2003
D-branes, orbifolds, and Ext groups. Zbl 1058.81062
Katz, Sheldon; Pantev, Tony; Sharpe, Eric
2003
D-branes, $$B$$ fields, and ext groups. Zbl 1055.81598
Căldăraru, Andrei; Katz, Sheldon; Sharpe, Eric
2003
A geometric unification of dualities. Zbl 0992.83072
Cachazo, F.; Fiol, B.; Intriligator, K.; Katz, S.; Vafa, C.
2002
Versal deformations and superpotentials for rational curves in smooth threefolds. Zbl 1057.14052
Katz, Sheldon
2002
Enumerative geometry of stable maps with Lagrangian boundary conditions and multiple covers of the disc. Zbl 1026.32028
Katz, Sheldon; Liu, Chiu-Chu Melissa
2001
Multiple covers and the integrality conjecture for rational curves in Calabi-Yau threefolds. Zbl 1045.14019
Bryan, Jim; Katz, Sheldon; Leung, Naichung Conan
2001
Virtual fundamental classes of zero loci. Zbl 1065.14014
Cox, David A.; Katz, Sheldon; Lee, Yuan-Pin
2001
Lie groups, Calabi-Yau threefolds, and F-theory. Zbl 0992.81060
Aspinwall, Paul S.; Katz, Sheldon; Morrison, David R.
2000
Mirror symmetry and algebraic geometry. Zbl 0951.14026
Cox, David A.; Katz, Sheldon
1999
M-theory, topological strings and spinning black holes. Zbl 0985.81081
Katz, Sheldon; Klemm, Albrecht; Vafa, Cumrun
1999
Enumeration of nodal genus-2 plane curves with fixed complex structure. Zbl 0946.14031
Katz, Sheldon; Qin, Zhenbo; Ruan, Yongbin
1998
Geometric engineering of quantum field theories. Zbl 0935.81058
Katz, Sheldon; Klemm, Albrecht; Vafa, Cumrun
1997
Matter from geometry. Zbl 0935.81056
Katz, Sheldon; Vafa, Cumrun
1997
Mirror symmetry and exact solution of $$4D$$ $$N=2$$ gauge theories. I. Zbl 0912.32016
Katz, Sheldon; Mayr, Peter; Vafa, Cumrun
1997
Small instantons, del Pezzo surfaces and type I$$^\prime$$ theory. Zbl 0935.81057
Douglas, Michael R.; Katz, Sheldon; Vafa, Cumrun
1997
Geometric engineering of $$N=1$$ quantum field theories. Zbl 0935.81059
Katz, Sheldon; Vafa, Cumrun
1997
New Higgs transitions between dual $$N=2$$ string models. Zbl 0925.14012
Berglund, Per; Katz, Sheldon; Klemm, Albrecht; Mayr, Peter
1997
Mirror symmetry constructions: A review. Zbl 0919.14023
Berglund, Per; Katz, Sheldon
1997
Mirror symmetry for two parameter models. I. Zbl 0917.14023
Candelas, Philip; de la Ossa, Xenia; Font, Anamaría; Katz, Sheldon; Morrison, David R.
1997
Enhanced gauge symmetry in type II string theory. Zbl 0925.81188
Katz, Sheldon; Morrison, David R.; Ronen Plesser, M.
1996
Gromov-Witten invariants via algebraic geometry. Zbl 0957.14510
Katz, Sheldon
1996
Mirror symmetry for Calabi-Yau hypersurfaces in weighted $$\mathbb{P}_4$$ and extensions of Landau-Ginzburg theory. Zbl 0896.14023
Candelas, P.; de la Ossa, X.; Katz, S.
1995
Mirror symmetry and the moduli space for generic hypersurfaces in toric varieties. Zbl 0899.32007
Berglund, P.; Katz, S.; Klemm, A.
1995
Mirror symmetry for two-parameter models. I. Zbl 0899.14017
Candelas, Philip; de la Ossa, Xenia; Font, Anamaría; Katz, Sheldon; Morrison, David R.
1994
Mirror symmetry for two-parameter models. II. Zbl 1020.32506
Candelas, Philip; Font, Anamaría; Katz, Sheldon; Morrison, David R.
1994
Mirror symmetry for two-parameter models. II. Zbl 0899.14018
Candelas, Philip; Font, Anamaría; Katz, Sheldon; Morrison, David R.
1994
Rational curves on Calabi-Yau manifolds: Verifying predictions of mirror symmetry. Zbl 0839.14043
Katz, Sheldon
1994
Mirror symmetry for hypersurfaces in weighted projective space and topological couplings. Zbl 0990.32500
Berglund, Per; Katz, Sheldon
1994
The desingularization of $$\text{Hilb}^ 4 \mathbb{P}^ 3$$ and its Betti numbers. Zbl 0839.14001
Katz, Sheldon
1994
Mirror symmetry for hypersurfaces in weighted projective space and topological couplings. Zbl 0896.14020
Berglund, Per; Katz, Sheldon
1994
Arithmetically Cohen-Macaulay curves cut out by quadrics. Zbl 0838.14042
Katz, Sheldon
1993
Gorenstein threefold singularities with small resolutions via invariant theory for Weyl groups. Appendix 0: A good generating set in the case of $$E 8$$. Appendix 1: Standard coordinates of $$E 6$$. Appendix 2: Standard coordinates of $$E 7$$. Zbl 0788.14036
Katz, Sheldon; Morrison, David R.
1992
Cremona transformations and syzygies. Zbl 0767.14005
Hulek, Klaus; Katz, Sheldon; Schreyer, Frank-Olaf
1992
Rational curves on Calabi-Yau threefolds. Zbl 0835.14015
Katz, Sheldon
1992
Recent work on Cremona transformations. Zbl 0768.14004
Katz, Sheldon
1992
Cremona transformations and Hartshorne’s conjecture. Zbl 0754.14009
Crauder, Bruce; Katz, Sheldon
1991
Lines on the Fermat quintic threefold and the infinitesimal generalized Hodge conjecture. Zbl 0767.14016
Albano, Alberto; Katz, Sheldon
1991
Small resolutions of Gorenstein threefold singularities. Zbl 0755.14002
Katz, Sheldon
1991
Van Geemen’s families of lines on special quintic threefolds. Zbl 0739.14025
Albano, Alberto; Katz, Sheldon
1991
Discriminants and limits of duals of plane curves. Zbl 0794.14019
Katz, Sheldon
1991
Cremona transformations with smooth irreducible fundamental locus. Zbl 0699.14015
Crauder, Bruce; Katz, Sheldon
1989
Improved test for closed loops in surface intersections. Zbl 0688.65011
Sederberg, T. W.; Christiansen, H. N.; Katz, S.
1989
Genus of the intersection curve of two rational surface patches. Zbl 0648.65011
Katz, Sheldon; Sederberg, Thomas W.
1988
Varieties cut out by quadrics: Scheme-theoretic versus homogeneous generation of ideals. Zbl 0699.14064
Ein, Lawrence; Eisenbud, David; Katz, Sheldon
1988
The cubo-cubic transformation of $${\mathbb P}^ 3$$ is very special. Zbl 0598.14010
Katz, Sheldon
1987
On the finiteness of rational curves on quintic threefolds. Zbl 0606.14039
Katz, Sheldon
1986
Lines on complete intersection threefolds with $$K=0$$. Zbl 0563.14020
Katz, Sheldon
1986
Tangents to a multiple plane curve. Zbl 0563.53001
Katz, Sheldon
1986
Degenerations of quintic threefolds and their lines. Zbl 0616.14035
Katz, Sheldon
1983
all top 5

#### Cited by 1,387 Authors

 49 Vafa, Cumrun 44 Morrison, David R. 38 Klemm, Albrecht 36 Katz, Sheldon 30 Mariño, Marcos 23 Schäfer-Nameki, Sakura 23 Taylor, Washington IV 21 Heckman, Jonathan J. 21 Sharpe, Eric R. 20 Grimm, Thomas W. 20 Jockers, Hans 19 Hayashi, Hirotaka 19 Weigand, Timo 14 Cvetič, Mirjam 14 García-Etxebarria, Iñaki 14 Klevers, Denis 14 Mayrhofer, Christoph 13 Aganagic, Mina 13 Aspinwall, Paul S. 13 Belhaj, Adil 13 Gukov, Sergei 13 Huang, Minxin 13 Pandharipande, Rahul 13 Saidi, El Hassan 13 Tatar, Radu 12 Kachru, Shamit 12 Kim, Sungsoo 12 Nekrasov, Nikita Alexandrovich 12 Ooguri, Hirosi 12 Palti, Eran 12 Yagi, Futoshi 12 Zinger, Aleksey 11 Bhardwaj, Lakshya 11 Braun, Andreas P. 11 Dasgupta, Keshav 11 Grassi, Alba 11 Mayr, Peter 11 Yau, Shing-Tung 10 Anderson, Lara B. 10 Apruzzi, Fabio 10 Del Zotto, Michele 10 Diaconescu, Duiliu-Emanuel 10 Donagi, Ron Y. 10 Gu, Jie 10 Halverson, James 10 Kim, Hee-Cheol 10 Kreuzer, Maximilian 10 Savelli, Raffaele 10 Toda, Yukinobu 10 Valandro, Roberto 10 Watari, Taizan 9 Collinucci, Andres 9 Grassi, Antonella 9 He, Yang-Hui Evariste 9 Iritani, Hiroshi 9 Kashani-Poor, Amir-Kian 9 Lawrie, Craig 9 Lee, Kimyeong M. 9 Lin, Ling 9 Melnikov, Ilarion V. 9 Soroush, Masoud 9 Walcher, Johannes 8 Berglund, Per 8 Bryan, Jim 8 Cavalieri, Renzo 8 Franco, Sebastián 8 Haghighat, Babak 8 Hanany, Amihay 8 Katzarkov, Ludmil 8 Lerche, Wolfgang 8 Louis, Jan 8 Manabe, Masahide 8 Oehlmann, Paul-Konstantin 8 Plesser, Moshe Ronen 8 Tachikawa, Yuji 8 Wang, Yinan 7 Alim, Murad 7 Bouchard, Vincent 7 Brini, Andrea 7 Candelas, Philip 7 Cecotti, Sergio 7 Gray, James A. 7 Guo, Jirui 7 Lee, Seungjoo 7 Liu, Chiu-Chu Melissa 7 Marchesano, Fernando 7 Martucci, Luca 7 Park, Daniel S. 7 Rietsch, Konstanze 7 Skarke, Harald 7 Tanzini, Alessandro 7 Ueda, Kazushi 6 Bonelli, Giulio 6 Choi, Jinwon 6 Dimofte, Tudor Dan 6 Doran, Charles F. 6 Greene, Brian R. 6 Gu, Wei 6 Hori, Kentaro 6 Maulik, Davesh ...and 1,287 more Authors
all top 5

#### Cited in 138 Serials

 486 Journal of High Energy Physics 213 Nuclear Physics. B 100 Communications in Mathematical Physics 47 Advances in Mathematics 36 Journal of Geometry and Physics 26 Letters in Mathematical Physics 22 Nuclear Physics, B, Proceedings Supplements 19 Journal of Mathematical Physics 18 International Journal of Modern Physics A 17 Journal of the American Mathematical Society 17 Geometry & Topology 16 Duke Mathematical Journal 15 Annales Henri Poincaré 14 Journal of Algebraic Geometry 13 Transactions of the American Mathematical Society 12 Fortschritte der Physik 12 Mathematische Annalen 12 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 11 Manuscripta Mathematica 10 Mathematische Zeitschrift 10 Selecta Mathematica. New Series 9 Journal of Algebra 9 Computer Aided Geometric Design 8 Annales de l’Institut Fourier 8 Inventiones Mathematicae 8 International Journal of Mathematics 8 International Journal of Geometric Methods in Modern Physics 7 Physics Letters. B 7 Theoretical and Mathematical Physics 7 Compositio Mathematica 7 Proceedings of the American Mathematical Society 7 Journal of Physics A: Mathematical and Theoretical 6 Modern Physics Letters A 6 Geometriae Dedicata 6 Michigan Mathematical Journal 6 Science China. Mathematics 5 Journal of Pure and Applied Algebra 5 Journal of Symbolic Computation 5 Japanese Journal of Mathematics. 3rd Series 4 Communications in Algebra 4 Reviews of Modern Physics 4 Journal für die Reine und Angewandte Mathematik 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Bulletin of the American Mathematical Society. New Series 4 Journal of the European Mathematical Society (JEMS) 4 Communications in Contemporary Mathematics 4 Advances in High Energy Physics 3 Rocky Mountain Journal of Mathematics 3 Collectanea Mathematica 3 Nagoya Mathematical Journal 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Bulletin des Sciences Mathématiques 3 Acta Mathematica Sinica. English Series 3 Advances in Geometry 3 Central European Journal of Mathematics 3 Kyoto Journal of Mathematics 3 Research in the Mathematical Sciences 3 European Journal of Mathematics 2 Arkiv för Matematik 2 Mathematics of Computation 2 Reviews in Mathematical Physics 2 International Journal of Mathematics and Mathematical Sciences 2 Journal of Computational and Applied Mathematics 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Chinese Annals of Mathematics. Series B 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 IMRN. International Mathematics Research Notices 2 Journal of Knot Theory and its Ramifications 2 The Electronic Journal of Combinatorics 2 Transformation Groups 2 Advances in Theoretical and Mathematical Physics 2 LMS Journal of Computation and Mathematics 2 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics 2 Forum of Mathematics, Pi 2 Complex Manifolds 2 Peking Mathematical Journal 1 Computer Methods in Applied Mechanics and Engineering 1 Computer Physics Communications 1 Israel Journal of Mathematics 1 Mathematical Notes 1 Physics Reports 1 Chaos, Solitons and Fractals 1 Beiträge zur Algebra und Geometrie 1 Archiv der Mathematik 1 Bulletin de la Société Mathématique de France 1 Fundamenta Mathematicae 1 Publications Mathématiques 1 Journal of Combinatorial Theory. Series A 1 Journal of Differential Geometry 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan 1 Journal of Number Theory 1 Mathematics and Computers in Simulation 1 Mathematika 1 Memoirs of the American Mathematical Society 1 Osaka Journal of Mathematics 1 Pacific Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Results in Mathematics 1 Tokyo Journal of Mathematics ...and 38 more Serials
all top 5

#### Cited in 45 Fields

 922 Quantum theory (81-XX) 853 Algebraic geometry (14-XX) 315 Relativity and gravitational theory (83-XX) 197 Differential geometry (53-XX) 172 Several complex variables and analytic spaces (32-XX) 61 Global analysis, analysis on manifolds (58-XX) 54 Manifolds and cell complexes (57-XX) 39 Associative rings and algebras (16-XX) 34 Number theory (11-XX) 34 Nonassociative rings and algebras (17-XX) 32 Category theory; homological algebra (18-XX) 24 Dynamical systems and ergodic theory (37-XX) 21 Partial differential equations (35-XX) 20 Commutative algebra (13-XX) 18 Topological groups, Lie groups (22-XX) 17 Algebraic topology (55-XX) 16 Combinatorics (05-XX) 12 Special functions (33-XX) 12 Convex and discrete geometry (52-XX) 12 Numerical analysis (65-XX) 11 Mechanics of particles and systems (70-XX) 11 Statistical mechanics, structure of matter (82-XX) 10 Ordinary differential equations (34-XX) 9 Group theory and generalizations (20-XX) 9 Functional analysis (46-XX) 9 Computer science (68-XX) 8 Geometry (51-XX) 7 $$K$$-theory (19-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 3 General and overarching topics; collections (00-XX) 3 Operator theory (47-XX) 2 History and biography (01-XX) 2 Field theory and polynomials (12-XX) 2 Functions of a complex variable (30-XX) 2 Mechanics of deformable solids (74-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Fluid mechanics (76-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX)

#### Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.