×

zbMATH — the first resource for mathematics

Göttsche, Lothar

Compute Distance To:
Author ID: gottsche.lothar Recent zbMATH articles by "Göttsche, Lothar"
Published as: Goettsche, Lothar; Göttsche, L.; Göttsche, Lothar
External Links: MGP · Wikidata · GND
Documents Indexed: 51 Publications since 1990, including 8 Books

Publications by Year

Citations contained in zbMATH Open

43 Publications have been cited 690 times in 491 Documents Cited by Year
Fundamental algebraic geometry: Grothendieck’s FGA explained. Zbl 1085.14001
Fantechi, Barbara; Göttsche, Lothar; Illusie, Luc; Kleiman, Steven L.; Nitsure, Nitin; Vistoli, Angelo
88
2005
The Betti numbers of the Hilbert scheme of points on a smooth projective surface. Zbl 0679.14007
Göttsche, Lothar
87
1990
Perverse sheaves and the cohomology of Hilbert schemes of smooth algebraic surfaces. Zbl 0789.14002
Göttsche, Lothar; Soergel, Wolfgang
46
1993
Orbifold cohomology for global quotients. Zbl 1086.14046
Fantechi, Barbara; Göttsche, Lothar
39
2003
On the cobordism class of the Hilbert scheme of a surface. Zbl 0976.14002
Ellingsrud, Geir; Göttsche, Lothar; Lehn, Manfred
39
2001
\(K\)-theoretic Donaldson invariants via instanton counting. Zbl 1192.14011
Göttsche, Lothar; Nakajima, Hiraku; Yoshioka, Kōta
30
2009
A conjectural generating function for numbers of curves on surfaces. Zbl 0934.14038
Göttsche, Lothar
30
1998
Jacobi forms and the structure of Donaldson invariants for 4-manifolds with \(b_+=1\). Zbl 0924.57025
Göttsche, Lothar; Zagier, Don
29
1998
Instanton counting and Donaldson invariants. Zbl 1172.57015
Göttsche, Lothar; Nakajima, Hiraku; Yoshioka, Kōta
27
2008
Euler number of the compactified Jacobian and multiplicity of rational curves. Zbl 0951.14017
Fantechi, B.; Göttsche, L.; van Straten, D.
22
1999
Donaldson = Seiberg-Witten from Mochizuki’s formula and instanton counting. Zbl 1259.14046
Göttsche, Lothar; Nakajima, Hiraku; Yoshioka, Kota
21
2011
Hilbert schemes of zero-dimensional subschemes of smooth varieties. Zbl 0814.14004
Göttsche, Lothar
21
1994
On the motive of the Hilbert scheme of points on a surface. Zbl 1079.14500
Göttsche, Lothar
20
2001
Riemann-Roch theorems and elliptic genus for virtually smooth schemes. Zbl 1194.14017
Fantechi, Barbara; Göttsche, Lothar
19
2010
The quantum cohomology of blow-ups of \(\mathbb{P}^2\) and enumerative geometry. Zbl 0946.14033
Göttsche, L.; Pandharipande, R.
19
1998
Theta functions and Hodge numbers of moduli spaces of sheaves on rational surfaces. Zbl 0961.14022
Göttsche, Lothar
18
1999
d-very-ample line bundles and embeddings of Hilbert schemes of 0-cycles. Zbl 0729.14006
Catanese, Fabrizio; Goettsche, Lothar
14
1990
Refined curve counting with tropical geometry. Zbl 1348.14125
Block, Florian; Göttsche, Lothar
12
2016
Variation of moduli space and Donaldson invariants under change of polarization. Zbl 0834.14005
Ellingsrud, Geir; Göttsche, Lothar
12
1995
Refined curve counting on complex surfaces. Zbl 1310.14012
Göttsche, Lothar; Shende, Vivek
10
2014
Hodge numbers of moduli spaces of stable bundles on K3 surfaces. Zbl 0879.14013
Göttsche, L.; Huybrechts, D.
10
1996
Modular forms and Donaldson invariants for 4-manifolds with \(b_ +=1\). Zbl 0872.57027
Göttsche, Lothar
9
1996
Weak Brill-Noether for vector bundles on the projective plane. Zbl 0937.14010
Göttsche, Lothar; Hirschowitz, André
7
1998
Wall-crossing formulas, the Bott residue formula and the Donaldson invariants of rational surfaces. Zbl 0951.57016
Ellingsrud, Geir; Göttsche, Lothar
7
1998
Betti numbers for the Hilbert function strata of the punctual Hilbert scheme in two variables. Zbl 0714.14004
Göttsche, Lothar
7
1990
Hilbert schemes of points on surfaces. Zbl 1055.14005
Göttsche, L.
6
2002
Change of polarization and Hodge numbers of moduli spaces of torsion free sheaves on surfaces. Zbl 0884.14014
Göttsche, Lothar
6
1996
Virtual refinements of the Vafa-Witten formula. Zbl 1440.14253
Göttsche, Lothar; Kool, Martijn
5
2020
A rank 2 Dijkgraaf-Moore-Verlinde-Verlinde formula. Zbl 1444.14095
Göttsche, Lothar; Kool, Martijn
4
2019
Generating functions for \(K\)-theoretic Donaldson invariants and Le Potier’s strange duality. Zbl 06975527
Göttsche, Lothar; Yuan, Yao
3
2019
Refined broccoli invariants. Zbl 1439.14183
Göttsche, Lothar; Schroeter, Franziska
3
2019
Hilbert schemes of points and Heisenberg algebras. Zbl 1078.14505
Ellingsrud, Geir; Göttsche, Lothar
3
2000
The cohomology ring of the Hilbert scheme of 3 points on a smooth projective variety. Zbl 0765.14010
Fantechi, Barbara; Göttsche, Lothar
3
1993
Fock spaces and refined Severi degrees. Zbl 1404.14011
Block, Florian; Göttsche, Lothar
2
2016
The \(\mathcal X_{-y}\)-genera of relative Hilbert schemes for linear systems on abelian and \(K3\) surfaces. Zbl 1332.14009
Göttsche, Lothar; Shende, Vivek
2
2015
Invariants of moduli spaces and modular forms. Zbl 1201.14004
Göttsche, Lothar
2
2009
Rationality of moduli spaces of torsion free sheaves over rational surfaces. Zbl 0870.14003
Göttsche, Lothar
2
1996
Verlinde-type formulas for rational surfaces. Zbl 1442.14135
Göttsche, Lothar
1
2020
Refined \(\text{SU}(3)\) Vafa-Witten invariants and modularity. Zbl 1455.14105
Göttsche, Lothar; Kool, Martijn
1
2018
Refined node polynomials via long edge graphs. Zbl 1358.14036
Göttsche, Lothar; Kikwai, Benjamin
1
2016
Donaldson invariants in algebraic geometry. Zbl 1042.14002
Göttsche, Lothar
1
2000
Orbifold-Hodge numbers of Hilbert schemes. Zbl 0878.14004
Göttsche, Lothar
1
1996
Hilbert schemes of zero-dimensional subschemes of smooth varieties. Zbl 0846.14002
Göttsche, Lothar
1
1993
Virtual refinements of the Vafa-Witten formula. Zbl 1440.14253
Göttsche, Lothar; Kool, Martijn
5
2020
Verlinde-type formulas for rational surfaces. Zbl 1442.14135
Göttsche, Lothar
1
2020
A rank 2 Dijkgraaf-Moore-Verlinde-Verlinde formula. Zbl 1444.14095
Göttsche, Lothar; Kool, Martijn
4
2019
Generating functions for \(K\)-theoretic Donaldson invariants and Le Potier’s strange duality. Zbl 06975527
Göttsche, Lothar; Yuan, Yao
3
2019
Refined broccoli invariants. Zbl 1439.14183
Göttsche, Lothar; Schroeter, Franziska
3
2019
Refined \(\text{SU}(3)\) Vafa-Witten invariants and modularity. Zbl 1455.14105
Göttsche, Lothar; Kool, Martijn
1
2018
Refined curve counting with tropical geometry. Zbl 1348.14125
Block, Florian; Göttsche, Lothar
12
2016
Fock spaces and refined Severi degrees. Zbl 1404.14011
Block, Florian; Göttsche, Lothar
2
2016
Refined node polynomials via long edge graphs. Zbl 1358.14036
Göttsche, Lothar; Kikwai, Benjamin
1
2016
The \(\mathcal X_{-y}\)-genera of relative Hilbert schemes for linear systems on abelian and \(K3\) surfaces. Zbl 1332.14009
Göttsche, Lothar; Shende, Vivek
2
2015
Refined curve counting on complex surfaces. Zbl 1310.14012
Göttsche, Lothar; Shende, Vivek
10
2014
Donaldson = Seiberg-Witten from Mochizuki’s formula and instanton counting. Zbl 1259.14046
Göttsche, Lothar; Nakajima, Hiraku; Yoshioka, Kota
21
2011
Riemann-Roch theorems and elliptic genus for virtually smooth schemes. Zbl 1194.14017
Fantechi, Barbara; Göttsche, Lothar
19
2010
\(K\)-theoretic Donaldson invariants via instanton counting. Zbl 1192.14011
Göttsche, Lothar; Nakajima, Hiraku; Yoshioka, Kōta
30
2009
Invariants of moduli spaces and modular forms. Zbl 1201.14004
Göttsche, Lothar
2
2009
Instanton counting and Donaldson invariants. Zbl 1172.57015
Göttsche, Lothar; Nakajima, Hiraku; Yoshioka, Kōta
27
2008
Fundamental algebraic geometry: Grothendieck’s FGA explained. Zbl 1085.14001
Fantechi, Barbara; Göttsche, Lothar; Illusie, Luc; Kleiman, Steven L.; Nitsure, Nitin; Vistoli, Angelo
88
2005
Orbifold cohomology for global quotients. Zbl 1086.14046
Fantechi, Barbara; Göttsche, Lothar
39
2003
Hilbert schemes of points on surfaces. Zbl 1055.14005
Göttsche, L.
6
2002
On the cobordism class of the Hilbert scheme of a surface. Zbl 0976.14002
Ellingsrud, Geir; Göttsche, Lothar; Lehn, Manfred
39
2001
On the motive of the Hilbert scheme of points on a surface. Zbl 1079.14500
Göttsche, Lothar
20
2001
Hilbert schemes of points and Heisenberg algebras. Zbl 1078.14505
Ellingsrud, Geir; Göttsche, Lothar
3
2000
Donaldson invariants in algebraic geometry. Zbl 1042.14002
Göttsche, Lothar
1
2000
Euler number of the compactified Jacobian and multiplicity of rational curves. Zbl 0951.14017
Fantechi, B.; Göttsche, L.; van Straten, D.
22
1999
Theta functions and Hodge numbers of moduli spaces of sheaves on rational surfaces. Zbl 0961.14022
Göttsche, Lothar
18
1999
A conjectural generating function for numbers of curves on surfaces. Zbl 0934.14038
Göttsche, Lothar
30
1998
Jacobi forms and the structure of Donaldson invariants for 4-manifolds with \(b_+=1\). Zbl 0924.57025
Göttsche, Lothar; Zagier, Don
29
1998
The quantum cohomology of blow-ups of \(\mathbb{P}^2\) and enumerative geometry. Zbl 0946.14033
Göttsche, L.; Pandharipande, R.
19
1998
Weak Brill-Noether for vector bundles on the projective plane. Zbl 0937.14010
Göttsche, Lothar; Hirschowitz, André
7
1998
Wall-crossing formulas, the Bott residue formula and the Donaldson invariants of rational surfaces. Zbl 0951.57016
Ellingsrud, Geir; Göttsche, Lothar
7
1998
Hodge numbers of moduli spaces of stable bundles on K3 surfaces. Zbl 0879.14013
Göttsche, L.; Huybrechts, D.
10
1996
Modular forms and Donaldson invariants for 4-manifolds with \(b_ +=1\). Zbl 0872.57027
Göttsche, Lothar
9
1996
Change of polarization and Hodge numbers of moduli spaces of torsion free sheaves on surfaces. Zbl 0884.14014
Göttsche, Lothar
6
1996
Rationality of moduli spaces of torsion free sheaves over rational surfaces. Zbl 0870.14003
Göttsche, Lothar
2
1996
Orbifold-Hodge numbers of Hilbert schemes. Zbl 0878.14004
Göttsche, Lothar
1
1996
Variation of moduli space and Donaldson invariants under change of polarization. Zbl 0834.14005
Ellingsrud, Geir; Göttsche, Lothar
12
1995
Hilbert schemes of zero-dimensional subschemes of smooth varieties. Zbl 0814.14004
Göttsche, Lothar
21
1994
Perverse sheaves and the cohomology of Hilbert schemes of smooth algebraic surfaces. Zbl 0789.14002
Göttsche, Lothar; Soergel, Wolfgang
46
1993
The cohomology ring of the Hilbert scheme of 3 points on a smooth projective variety. Zbl 0765.14010
Fantechi, Barbara; Göttsche, Lothar
3
1993
Hilbert schemes of zero-dimensional subschemes of smooth varieties. Zbl 0846.14002
Göttsche, Lothar
1
1993
The Betti numbers of the Hilbert scheme of points on a smooth projective surface. Zbl 0679.14007
Göttsche, Lothar
87
1990
d-very-ample line bundles and embeddings of Hilbert schemes of 0-cycles. Zbl 0729.14006
Catanese, Fabrizio; Goettsche, Lothar
14
1990
Betti numbers for the Hilbert function strata of the punctual Hilbert scheme in two variables. Zbl 0714.14004
Göttsche, Lothar
7
1990
all top 5

Cited by 578 Authors

14 Manschot, Jan
13 Göttsche, Lothar
8 Klemm, Albrecht
7 Leness, Thomas G.
7 Pandharipande, Rahul
6 Boissière, Samuel
6 Feehan, Paul M. N.
6 Fu, Lie
6 Oprea, Dragos
6 Shustin, Eugenii Isaakovich
6 Thomas, Richard Paul
6 Viviani, Filippo
6 Yoshioka, Kōta
5 Bringmann, Kathrin
5 Diaconescu, Duiliu-Emanuel
5 Huang, Minxin
5 Kool, Martijn
5 Melo, Margarida
5 Migliorini, Luca
5 Moore, Gregory Winthrop
5 Nakajima, Hiraku
5 Ricolfi, Andrea T.
5 Yuan, Yao
5 Zhou, Jian
4 Alexandrov, Sergei Yu.
4 Bershteĭn, Mikhaĭl Aleksandrovich
4 Biswas, Indranil
4 Bonelli, Giulio
4 Bryan, Jim
4 de Cataldo, Mark Andrea A.
4 Festuccia, Guido
4 Gholampour, Amin
4 Gusein-Zade, Sabir M.
4 Haghighat, Babak
4 Huizenga, Jack
4 Itenberg, Ilia V.
4 Kaufmann, Ralph M.
4 Luengo, Ignacio
4 Melle-Hernández, Alejandro
4 Okun’kov, Andreĭ Yur’evich
4 Pioline, Boris
4 Rapagnetta, Antonio
4 Shende, Vivek Vijay
4 Sheshmani, Artan
4 Szabo, Richard J.
4 Tanzini, Alessandro
4 Toda, Yukinobu
4 Vistoli, Angelo
4 Wang, Weiqiang
3 Ballico, Edoardo
3 Beltrametti, Mauro C.
3 Block, Florian
3 Bytsenko, Andrei A.
3 Carlsson, Erik
3 Coskun, Izzet
3 Gu, Jie
3 Iarrobino, Anthony A.
3 Kashani-Poor, Amir-Kian
3 Kharlamov, Viatcheslav M.
3 Kovács, Sándor J.
3 Leung, Naichung Conan
3 Macrì, Emanuele
3 Maican, Mario
3 Marian, Alina
3 Meng, Sheng
3 Mukherjee, Ritwik
3 Nekrasov, Nikita Alexandrovich
3 Nieper-Wißkirchen, Marc Arnold
3 Pagani, Nicola
3 Qin, Zhenbo
3 Ranganathan, Dhruv
3 Raum, Martin
3 Schroeter, Franziska
3 Shen, Junliang
3 Vainsencher, Israel
3 Vial, Charles
3 Wang, Zhilan
3 Yau, Shing-Tung
3 Zabzine, Maxim
2 Abramovich, Dan
2 Banerjee, Sibasish
2 Baranovsky, Vladimir
2 Bayer, Arend
2 Borisov, Lev A.
2 Brugallé, Erwan
2 Bruzzo, Ugo
2 Cao, Yalong
2 Carchedi, David Joseph
2 Cascini, Paolo
2 Cattaneo, Andrea
2 Chen, Bohui
2 Choi, Jinwon
2 Choy, Jaeyoo
2 Ciolli, Gianni
2 Costa, Laura
2 Di Rocco, Sandra
2 Ding, Yanqiao
2 Du, Chengyong
2 Edidin, Dan
2 Fantechi, Barbara
...and 478 more Authors
all top 5

Cited in 117 Serials

34 Advances in Mathematics
29 Journal of High Energy Physics
19 Communications in Mathematical Physics
18 Duke Mathematical Journal
18 Transactions of the American Mathematical Society
17 Journal of Geometry and Physics
17 Mathematische Annalen
17 Journal of Algebraic Geometry
16 Journal of Algebra
14 Mathematische Zeitschrift
13 Geometry & Topology
12 Compositio Mathematica
10 Letters in Mathematical Physics
10 Manuscripta Mathematica
10 Selecta Mathematica. New Series
9 Journal of Pure and Applied Algebra
8 Annales de l’Institut Fourier
8 Inventiones Mathematicae
7 Communications in Algebra
7 Journal of the European Mathematical Society (JEMS)
6 Nuclear Physics. B
6 Geometriae Dedicata
6 Journal für die Reine und Angewandte Mathematik
6 Journal of the American Mathematical Society
5 International Journal of Mathematics
5 Bulletin des Sciences Mathématiques
5 Transformation Groups
5 Annals of Mathematics. Second Series
4 Israel Journal of Mathematics
4 Michigan Mathematical Journal
4 Nagoya Mathematical Journal
4 Proceedings of the American Mathematical Society
4 Publications of the Research Institute for Mathematical Sciences, Kyoto University
4 Topology and its Applications
4 Nuclear Physics, B, Proceedings Supplements
4 Revista Matemática Complutense
4 Kyoto Journal of Mathematics
3 Publications Mathématiques
3 Journal of Number Theory
3 Mathematische Nachrichten
3 Documenta Mathematica
3 Acta Mathematica Sinica. English Series
3 Advances in Geometry
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Forum of Mathematics, Sigma
2 Mathematical Notes
2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
2 Journal of the London Mathematical Society. Second Series
2 Proceedings of the London Mathematical Society. Third Series
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Expositiones Mathematicae
2 Indagationes Mathematicae. New Series
2 Applied Categorical Structures
2 Annales Henri Poincaré
2 Algebraic & Geometric Topology
2 Bulletin of the Brazilian Mathematical Society. New Series
2 Proceedings of the Steklov Institute of Mathematics
2 Japanese Journal of Mathematics. 3rd Series
2 Science China. Mathematics
2 Research in Number Theory
1 Communications on Pure and Applied Mathematics
1 Indian Journal of Pure & Applied Mathematics
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal of Mathematical Analysis and Applications
1 Periodica Mathematica Hungarica
1 Theoretical and Mathematical Physics
1 Arkiv för Matematik
1 Chaos, Solitons and Fractals
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Bulletin de la Société Mathématique de France
1 Canadian Journal of Mathematics
1 Functional Analysis and its Applications
1 Mathematika
1 Memoirs of the American Mathematical Society
1 Notre Dame Journal of Formal Logic
1 Osaka Journal of Mathematics
1 Proceedings of the Japan Academy. Series A
1 Ricerche di Matematica
1 Semigroup Forum
1 Transactions of the Moscow Mathematical Society
1 Chinese Annals of Mathematics. Series B
1 Discrete & Computational Geometry
1 Science in China. Series A
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 Differential Geometry and its Applications
1 IMRN. International Mathematics Research Notices
1 Glasnik Matematički. Serija III
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Bulletin of the American Mathematical Society. New Series
1 Journal of Algebraic Combinatorics
1 Journal de Théorie des Nombres de Bordeaux
1 St. Petersburg Mathematical Journal
1 Finite Fields and their Applications
1 The Electronic Journal of Combinatorics
1 The Bulletin of Symbolic Logic
1 Sbornik: Mathematics
1 Representation Theory
1 Algebras and Representation Theory
1 LMS Journal of Computation and Mathematics
...and 17 more Serials

Citations by Year

Wikidata Timeline

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