## Katz, Sheldon

Compute Distance To:
 Author ID: katz.sheldon Published as: Katz, Sheldon; Katz, S. Homepage: http://www.math.uiuc.edu/~katz/ External Links: MGP · Wikidata · GND · IdRef
 Documents Indexed: 85 Publications since 1983, including 3 Books 1 Contribution as Editor Co-Authors: 63 Co-Authors with 66 Joint Publications 1,444 Co-Co-Authors
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### Co-Authors

 20 single-authored 11 Klemm, Albrecht 11 Morrison, David R. 10 Vafa, Cumrun 6 Sharpe, Eric R. 5 Berglund, Per 5 Candelas, Philip 5 Donagi, Ron Y. 4 Choi, Jinwon 4 Dasgupta, Keshav 4 Font, Anamaría 4 Guffin, Josh 3 de la Ossa, Xenia C. 3 Huang, Minxin 3 Takahashi, Nobuyoshi 3 Tatar, Radu 3 van Garrel, Michel 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 Thomas, Richard Paul 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 Taylor, Washington IV 1 Vakil, Ravi 1 Wijnholt, Martijn P. 1 Zaslow, Eric
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### 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 3 Pure and Applied Mathematics Quarterly 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 Selecta Mathematica. New Series 1 Mathematical Research Letters 1 The Asian Journal of Mathematics 1 Mathematical Surveys and Monographs 1 Proceedings of Symposia in Pure Mathematics 1 Student Mathematical Library 1 Clay Mathematics Monographs
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### Fields

 71 Algebraic geometry (14-XX) 43 Quantum theory (81-XX) 27 Several complex variables and analytic spaces (32-XX) 19 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

79 Publications have been cited 2,344 times in 1,509 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
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
Matter from geometry. Zbl 0935.81056
Katz, Sheldon; Vafa, Cumrun
1997
A geometric unification of dualities. Zbl 0992.83072
Cachazo, F.; Fiol, B.; Intriligator, K.; Katz, S.; Vafa, C.
2002
Mirror symmetry and exact solution of $$4D$$ $$N=2$$ gauge theories. I. Zbl 0912.32016
Katz, Sheldon; Mayr, Peter; Vafa, Cumrun
1997
On geometric classification of 5d SCFTs. Zbl 1390.81603
Jefferson, Patrick; Katz, Sheldon; Kim, Hee-Cheol; Vafa, Cumrun
2018
Tate’s algorithm and F-theory. Zbl 1298.81307
Katz, Sheldon; Morrison, David R.; Schäfer-Nameki, Sakura; Sully, James
2011
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
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
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
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
Geometric engineering of $$N=1$$ quantum field theories. Zbl 0935.81059
Katz, Sheldon; Vafa, Cumrun
1997
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
Computation of superpotentials for D-branes. Zbl 1109.81062
Aspinwall, Paul S.; Katz, Sheldon
2006
Notes on certain $$(0,2)$$ correlation functions. Zbl 1109.81066
Katz, Sheldon; Sharpe, Eric
2006
Lie groups, Calabi-Yau threefolds, and F-theory. Zbl 0992.81060
Aspinwall, Paul S.; Katz, Sheldon; Morrison, David R.
2000
New Higgs transitions between dual $$N=2$$ string models. Zbl 0925.14012
Berglund, Per; Katz, Sheldon; Klemm, Albrecht; Mayr, Peter
1997
Spectra of D-branes with Higgs vevs. Zbl 1092.81056
Donagi, Ron; Katz, Sheldon; Sharpe, Eric
2004
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
On the finiteness of rational curves on quintic threefolds. Zbl 0606.14039
Katz, Sheldon
1986
Mirror symmetry for two-parameter models. II. Zbl 0899.14018
Candelas, Philip; 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
Cremona transformations and syzygies. Zbl 0767.14005
Hulek, Klaus; Katz, Sheldon; Schreyer, Frank-Olaf
1992
T-branes at the limits of geometry. Zbl 1383.83148
Anderson, Lara B.; Heckman, Jonathan J.; Katz, Sheldon; Schaposnik, Laura P.
2017
Mirror symmetry and the moduli space for generic hypersurfaces in toric varieties. Zbl 0899.32007
Berglund, P.; Katz, S.; Klemm, A.
1995
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
Multiple covers and the integrality conjecture for rational curves in Calabi-Yau threefolds. Zbl 1045.14019
Bryan, Jim; Katz, Sheldon; Leung, Naichung Conan
2001
Cremona transformations with smooth irreducible fundamental locus. Zbl 0699.14015
Crauder, Bruce; Katz, Sheldon
1989
A mathematical theory of quantum sheaf cohomology. Zbl 1300.32022
Donagi, Ron; Guffin, Josh; Katz, Sheldon; Sharpe, Eric
2014
Weak coupling, degeneration and log Calabi-Yau spaces. Zbl 1305.81119
Donagi, Ron; Katz, Sheldon; Wijnholt, Martijn
2013
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, $$B$$ 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
D-branes, orbifolds, and Ext groups. Zbl 1058.81062
Katz, Sheldon; Pantev, Tony; Sharpe, Eric
2003
Lines on the Fermat quintic threefold and the infinitesimal generalized Hodge conjecture. Zbl 0767.14016
Albano, Alberto; Katz, Sheldon
1991
Genus of the intersection curve of two rational surface patches. Zbl 0648.65011
Katz, Sheldon; Sederberg, Thomas W.
1988
Swampland constraints on 5d $$\mathcal{N} = 1$$ supergravity. Zbl 1451.83109
Katz, Sheldon; Kim, Hee-Cheol; Tarazi, Houri-Christina; Vafa, Cumrun
2020
Lines on complete intersection threefolds with $$K=0$$. Zbl 0563.14020
Katz, Sheldon
1986
Improved test for closed loops in surface intersections. Zbl 0688.65011
Sederberg, T. W.; Christiansen, H. N.; Katz, S.
1989
The cubo-cubic transformation of $${\mathbb P}^ 3$$ is very special. Zbl 0598.14010
Katz, Sheldon
1987
Small resolutions of Gorenstein threefold singularities. Zbl 0755.14002
Katz, Sheldon
1991
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
Gromov-Witten, Gopakumar-Vafa, and Donaldson-Thomas invariants of Calabi-Yau threefolds. Zbl 1171.14305
Katz, Sheldon
2006
Log BPS numbers of log Calabi-Yau surfaces. Zbl 1465.14052
Choi, Jinwon; van Garrel, Michel; Katz, Sheldon; Takahashi, Nobuyoshi
2021
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
Local BPS invariants: enumerative aspects and wall-crossing. Zbl 1468.14097
Choi, Jinwon; van Garrel, Michel; Katz, Sheldon; Takahashi, Nobuyoshi
2020
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
Geometric transitions, flops and non-Kähler manifolds. II. Zbl 1110.81148
Becker, Melanie; Dasgupta, Keshav; Katz, Sheldon; Knauf, Anke; Tatar, Radu
2006
Supersymmetric configurations, geometric transitions and new non-Kähler manifolds. Zbl 1229.81228
Chen, Fang; Dasgupta, Keshav; Franche, Paul; Katz, Sheldon; Tatar, Radu
2011
Enumeration of nodal genus-2 plane curves with fixed complex structure. Zbl 0946.14031
Katz, Sheldon; Qin, Zhenbo; Ruan, Yongbin
1998
$$\mathrm{SU}(N)$$ 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
The desingularization of $$\text{Hilb}^ 4 \mathbb{P}^ 3$$ and its Betti numbers. Zbl 0839.14001
Katz, Sheldon
1994
Versal deformations and superpotentials for rational curves in smooth threefolds. Zbl 1057.14052
Katz, Sheldon
2002
Towards refining the topological strings on compact Calabi-Yau 3-folds. Zbl 1461.83082
Huang, Min-xin; Katz, Sheldon; Klemm, Albrecht
2021
Varieties cut out by quadrics: Scheme-theoretic versus homogeneous generation of ideals. Zbl 0699.14064
Ein, Lawrence; Eisenbud, David; Katz, Sheldon
1988
Van Geemen’s families of lines on special quintic threefolds. Zbl 0739.14025
Albano, Alberto; Katz, Sheldon
1991
Mirror symmetry for hypersurfaces in weighted projective space and topological couplings. Zbl 0990.32500
Berglund, Per; 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
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
Gromov-Witten invariants via algebraic geometry. Zbl 0957.14510
Katz, Sheldon
1996
Sheaves of maximal intersection and multiplicities of stable log maps. Zbl 1478.14085
Choi, Jinwon; van Garrel, Michel; Katz, Sheldon; Takahashi, Nobuyoshi
2021
Tangents to a multiple plane curve. Zbl 0563.53001
Katz, Sheldon
1986
Enumerative geometry and string theory. Zbl 1091.14001
Katz, Sheldon
2006
Dipole-deformed bound states and heterotic Kodaira surfaces. Zbl 1117.83108
Dasgupta, Keshav; Guffin, Josh; Gwyn, Rhiannon; Katz, Sheldon
2007
Arithmetically Cohen-Macaulay curves cut out by quadrics. Zbl 0838.14042
Katz, Sheldon
1993
Discriminants and limits of duals of plane curves. Zbl 0794.14019
Katz, Sheldon
1991
Recent work on Cremona transformations. Zbl 0768.14004
Katz, Sheldon
1992
On certain moduli spaces of ideal sheaves and Donaldson-Thomas invariants. Zbl 1129.14008
Katz, Sheldon; Li, Weiping; Qin, Zhenbo
2007
Virtual fundamental classes of zero loci. Zbl 1065.14014
Cox, David A.; Katz, Sheldon; Lee, Yuan-Pin
2001
Log BPS numbers of log Calabi-Yau surfaces. Zbl 1465.14052
Choi, Jinwon; van Garrel, Michel; Katz, Sheldon; Takahashi, Nobuyoshi
2021
Towards refining the topological strings on compact Calabi-Yau 3-folds. Zbl 1461.83082
Huang, Min-xin; Katz, Sheldon; Klemm, Albrecht
2021
Sheaves of maximal intersection and multiplicities of stable log maps. Zbl 1478.14085
Choi, Jinwon; van Garrel, Michel; Katz, Sheldon; Takahashi, Nobuyoshi
2021
Swampland constraints on 5d $$\mathcal{N} = 1$$ supergravity. Zbl 1451.83109
Katz, Sheldon; Kim, Hee-Cheol; Tarazi, Houri-Christina; Vafa, Cumrun
2020
Local BPS invariants: enumerative aspects and wall-crossing. Zbl 1468.14097
Choi, Jinwon; van Garrel, Michel; Katz, Sheldon; Takahashi, Nobuyoshi
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
Dipole-deformed bound states and heterotic Kodaira surfaces. Zbl 1117.83108
Dasgupta, Keshav; Guffin, Josh; Gwyn, Rhiannon; Katz, Sheldon
2007
On certain moduli spaces of ideal sheaves and Donaldson-Thomas invariants. Zbl 1129.14008
Katz, Sheldon; Li, Weiping; Qin, Zhenbo
2007
Computation of superpotentials for D-branes. Zbl 1109.81062
Aspinwall, Paul S.; Katz, Sheldon
2006
Notes on certain $$(0,2)$$ correlation functions. Zbl 1109.81066
Katz, Sheldon; Sharpe, Eric
2006
Gromov-Witten, Gopakumar-Vafa, and Donaldson-Thomas invariants of Calabi-Yau threefolds. Zbl 1171.14305
Katz, Sheldon
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
Geometric transitions, flops and non-Kähler manifolds. II. Zbl 1110.81148
Becker, Melanie; Dasgupta, Keshav; Katz, Sheldon; Knauf, Anke; Tatar, Radu
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 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, $$B$$ fields, and ext groups. Zbl 1055.81598
Căldăraru, Andrei; Katz, Sheldon; Sharpe, Eric
2003
D-branes, orbifolds, and Ext groups. Zbl 1058.81062
Katz, Sheldon; Pantev, Tony; 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
Small instantons, del Pezzo surfaces and type I$$^\prime$$ theory. Zbl 0935.81057
Douglas, Michael R.; Katz, Sheldon; 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
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 0899.14018
Candelas, Philip; 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
Rational curves on Calabi-Yau manifolds: Verifying predictions of mirror symmetry. Zbl 0839.14043
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 0990.32500
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
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### Cited by 1,448 Authors

 47 Vafa, Cumrun 40 Morrison, David R. 36 Klemm, Albrecht 35 Katz, Sheldon 29 Mariño, Marcos 22 Schäfer-Nameki, Sakura 21 Taylor, Washington IV 20 Jockers, Hans 20 Sharpe, Eric R. 19 Weigand, Timo 18 Hayashi, Hirotaka 16 Heckman, Jonathan J. 15 Gukov, Sergei 15 Huang, Minxin 14 Braun, Andreas P. 14 Kim, Sungsoo 14 Valandro, Roberto 13 Belhaj, Adil 13 Grimm, Thomas W. 13 Kim, Hee-Cheol 13 Lee, Kimyeong M. 13 Nekrasov, Nikita Alexandrovich 13 Pandharipande, Rahul 13 Saidi, El Hassan 12 Bhardwaj, Lakshya 12 Del Zotto, Michele 12 Grassi, Alba 12 Kachru, Shamit 12 Klevers, Denis 12 Lerche, Wolfgang 12 Ooguri, Hirosi 12 Toda, Yukinobu 12 Zinger, Aleksey 11 Aganagic, Mina 11 Anderson, Lara B. 11 Aspinwall, Paul S. 11 Cvetič, Mirjam 11 Gu, Jie 11 He, Yang-Hui Evariste 11 Tatar, Radu 11 Yagi, Futoshi 11 Yau, Shing-Tung 10 Apruzzi, Fabio 10 Collinucci, Andres 10 Diaconescu, Duiliu-Emanuel 10 García-Etxebarria, Iñaki 10 Halverson, James 10 Iritani, Hiroshi 10 Kashani-Poor, Amir-Kian 10 Lawrie, Craig 10 Lee, Seungjoo 10 Mayr, Peter 10 Mayrhofer, Christoph 10 Oehlmann, Paul-Konstantin 10 Savelli, Raffaele 10 Wang, Yinan 9 Brini, Andrea 9 Dasgupta, Keshav 9 Donagi, Ron Y. 9 Grassi, Antonella 9 Guo, Jirui 9 Haghighat, Babak 9 Lin, Ling 9 Liu, Chiu-Chu Melissa 9 Palti, Eran 9 Tanzini, Alessandro 9 Walcher, Johannes 9 Watari, Taizan 8 Bonelli, Giulio 8 Bryan, Jim 8 Cavalieri, Renzo 8 Franco, Sebastián 8 Hanany, Amihay 8 Katzarkov, Ludmil 8 Louis, Jan 8 Marchesano, Fernando 8 Schimannek, Thorsten 8 Soroush, Masoud 7 Candelas, Philip 7 Cao, Yalong 7 Choi, Jinwon 7 Coates, Tom 7 Doran, Charles F. 7 Fang, Bohan 7 Gray, James A. 7 Lockhart, Guglielmo 7 Manabe, Masahide 7 Maulik, Davesh 7 Raghuram, Nikhil 7 Rietsch, Konstanze 7 Romo, Mauricio 7 Skarke, Harald 7 Sułkowski, Piotr 7 Ueda, Kazushi 7 Valenzuela, Irene 7 Wang, Xin 7 Zafrir, Gabi 6 Alim, Murad 6 Belavin, Aleksandr Abramovich 6 Berglund, Per ...and 1,348 more Authors
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### Cited in 150 Serials

 466 Journal of High Energy Physics 213 Nuclear Physics. B 112 Communications in Mathematical Physics 52 Advances in Mathematics 35 Letters in Mathematical Physics 32 Journal of Geometry and Physics 21 Nuclear Physics. B. Proceedings Supplements 20 Geometry & Topology 19 Journal of Mathematical Physics 18 International Journal of Modern Physics A 18 Journal of Algebraic Geometry 17 Duke Mathematical Journal 17 Journal of the American Mathematical Society 17 Annales Henri Poincaré 14 Mathematische Annalen 14 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 13 Transactions of the American Mathematical Society 12 Fortschritte der Physik 12 Selecta Mathematica. New Series 11 Manuscripta Mathematica 11 Mathematische Zeitschrift 10 Inventiones Mathematicae 10 Journal of Algebra 9 Annales de l’Institut Fourier 9 Computer Aided Geometric Design 9 International Journal of Mathematics 8 Theoretical and Mathematical Physics 8 Geometriae Dedicata 8 Proceedings of the American Mathematical Society 8 International Journal of Geometric Methods in Modern Physics 7 Physics Letters. B 7 Compositio Mathematica 7 Journal of Physics A: Mathematical and Theoretical 7 Science China. Mathematics 6 Modern Physics Letters A 6 Michigan Mathematical Journal 6 Journal of Symbolic Computation 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Journal of the European Mathematical Society (JEMS) 5 Acta Mathematica Sinica. English Series 5 Japanese Journal of Mathematics. 3rd Series 5 European Journal of Mathematics 4 Communications in Algebra 4 Reviews of Modern Physics 4 Journal of Pure and Applied Algebra 4 Memoirs of the American Mathematical Society 4 Bulletin of the American Mathematical Society. New Series 4 Communications in Contemporary Mathematics 4 Advances in High Energy Physics 4 Forum of Mathematics, Sigma 4 Research in the Mathematical Sciences 3 Rocky Mountain Journal of Mathematics 3 Reviews in Mathematical Physics 3 Collectanea Mathematica 3 Journal für die Reine und Angewandte Mathematik 3 Nagoya Mathematical Journal 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Chinese Annals of Mathematics. Series B 3 The Electronic Journal of Combinatorics 3 Bulletin des Sciences Mathématiques 3 Advances in Geometry 3 Central European Journal of Mathematics 3 Kyoto Journal of Mathematics 2 Physics Reports 2 Arkiv för Matematik 2 Mathematics of Computation 2 International Journal of Mathematics and Mathematical Sciences 2 Journal of Computational and Applied Mathematics 2 Journal of the Mathematical Society of Japan 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 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 The Journal of Geometric Analysis 2 Journal of Knot Theory and its Ramifications 2 Transformation Groups 2 Vietnam Journal of Mathematics 2 Advances in Theoretical and Mathematical Physics 2 LMS Journal of Computation and Mathematics 2 Algebra & Number Theory 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 Mathematical Proceedings of the Cambridge Philosophical Society 1 Physica A 1 Chaos, Solitons and Fractals 1 Beiträge zur Algebra und Geometrie 1 Acta Mathematica Vietnamica 1 Archiv der Mathematik 1 Bulletin de la Société Mathématique de France 1 Canadian Journal of Mathematics 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 ...and 50 more Serials
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### Cited in 48 Fields

 931 Quantum theory (81-XX) 870 Algebraic geometry (14-XX) 317 Relativity and gravitational theory (83-XX) 219 Differential geometry (53-XX) 172 Several complex variables and analytic spaces (32-XX) 62 Global analysis, analysis on manifolds (58-XX) 58 Manifolds and cell complexes (57-XX) 38 Number theory (11-XX) 37 Nonassociative rings and algebras (17-XX) 37 Category theory; homological algebra (18-XX) 36 Associative rings and algebras (16-XX) 26 Commutative algebra (13-XX) 22 Dynamical systems and ergodic theory (37-XX) 19 Algebraic topology (55-XX) 19 Mechanics of particles and systems (70-XX) 18 Combinatorics (05-XX) 17 Partial differential equations (35-XX) 16 Topological groups, Lie groups (22-XX) 16 Convex and discrete geometry (52-XX) 16 Statistical mechanics, structure of matter (82-XX) 13 Ordinary differential equations (34-XX) 13 Numerical analysis (65-XX) 11 Special functions (33-XX) 11 Computer science (68-XX) 9 $$K$$-theory (19-XX) 9 Group theory and generalizations (20-XX) 9 Functional analysis (46-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Geometry (51-XX) 4 Difference and functional equations (39-XX) 4 Operator theory (47-XX) 3 General and overarching topics; collections (00-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 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 General topology (54-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX)

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