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Author ID: gottsche.lothar Recent zbMATH articles by "Göttsche, Lothar"
Published as: Göttsche, Lothar; Göttsche, L.; Goettsche, Lothar
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Publications by Year

Citations contained in zbMATH Open

45 Publications have been cited 821 times in 558 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
109
2005
The Betti numbers of the Hilbert scheme of points on a smooth projective surface. Zbl 0679.14007
Göttsche, Lothar
97
1990
Perverse sheaves and the cohomology of Hilbert schemes of smooth algebraic surfaces. Zbl 0789.14002
Göttsche, Lothar; Soergel, Wolfgang
50
1993
On the cobordism class of the Hilbert scheme of a surface. Zbl 0976.14002
Ellingsrud, Geir; Göttsche, Lothar; Lehn, Manfred
47
2001
Orbifold cohomology for global quotients. Zbl 1086.14046
Fantechi, Barbara; Göttsche, Lothar
39
2003
\(K\)-theoretic Donaldson invariants via instanton counting. Zbl 1192.14011
Göttsche, Lothar; Nakajima, Hiraku; Yoshioka, Kōta
38
2009
Zero cycles and \(k\)-th order embeddings of smooth projective surfaces. Appendix by Lothar Göttsche: Identification of very ample line bundles on \(S^{(r)}\). Zbl 0827.14029
Beltrametti, M.; Sommese, A. J.
31
1991
A conjectural generating function for numbers of curves on surfaces. Zbl 0934.14038
Göttsche, Lothar
31
1998
Instanton counting and Donaldson invariants. Zbl 1172.57015
Göttsche, Lothar; Nakajima, Hiraku; Yoshioka, Kōta
29
2008
Jacobi forms and the structure of Donaldson invariants for 4-manifolds with \(b_+=1\). Zbl 0924.57025
Göttsche, Lothar; Zagier, Don
27
1998
Riemann-Roch theorems and elliptic genus for virtually smooth schemes. Zbl 1194.14017
Fantechi, Barbara; Göttsche, Lothar
25
2010
Euler number of the compactified Jacobian and multiplicity of rational curves. Zbl 0951.14017
Fantechi, B.; Göttsche, L.; van Straten, D.
24
1999
On the motive of the Hilbert scheme of points on a surface. Zbl 1079.14500
Göttsche, Lothar
22
2001
The quantum cohomology of blow-ups of \(\mathbb{P}^2\) and enumerative geometry. Zbl 0946.14033
Göttsche, L.; Pandharipande, R.
22
1998
Hilbert schemes of zero-dimensional subschemes of smooth varieties. Zbl 0814.14004
Göttsche, Lothar
21
1994
Theta functions and Hodge numbers of moduli spaces of sheaves on rational surfaces. Zbl 0961.14022
Göttsche, Lothar
21
1999
Donaldson = Seiberg-Witten from Mochizuki’s formula and instanton counting. Zbl 1259.14046
Göttsche, Lothar; Nakajima, Hiraku; Yoshioka, Kota
21
2011
Refined curve counting with tropical geometry. Zbl 1348.14125
Block, Florian; Göttsche, Lothar
15
2016
d-very-ample line bundles and embeddings of Hilbert schemes of 0-cycles. Zbl 0729.14006
Catanese, Fabrizio; Goettsche, Lothar
14
1990
Variation of moduli space and Donaldson invariants under change of polarization. Zbl 0834.14005
Ellingsrud, Geir; Göttsche, Lothar
13
1995
Refined curve counting on complex surfaces. Zbl 1310.14012
Göttsche, Lothar; Shende, Vivek
12
2014
Modular forms and Donaldson invariants for 4-manifolds with \(b_ +=1\). Zbl 0872.57027
Göttsche, Lothar
11
1996
Hodge numbers of moduli spaces of stable bundles on K3 surfaces. Zbl 0879.14013
Göttsche, L.; Huybrechts, D.
10
1996
Weak Brill-Noether for vector bundles on the projective plane. Zbl 0937.14010
Göttsche, Lothar; Hirschowitz, André
10
1998
Change of polarization and Hodge numbers of moduli spaces of torsion free sheaves on surfaces. Zbl 0884.14014
Göttsche, Lothar
8
1996
Wall-crossing formulas, the Bott residue formula and the Donaldson invariants of rational surfaces. Zbl 0951.57016
Ellingsrud, Geir; Göttsche, Lothar
8
1998
Virtual refinements of the Vafa-Witten formula. Zbl 1440.14253
Göttsche, Lothar; Kool, Martijn
8
2020
Hilbert schemes of points on surfaces. Zbl 1055.14005
Göttsche, L.
7
2002
Betti numbers for the Hilbert function strata of the punctual Hilbert scheme in two variables. Zbl 0714.14004
Göttsche, Lothar
7
1990
Refined broccoli invariants. Zbl 1439.14183
Göttsche, Lothar; Schroeter, Franziska
6
2019
Fock spaces and refined Severi degrees. Zbl 1404.14011
Block, Florian; Göttsche, Lothar
6
2016
A rank 2 Dijkgraaf-Moore-Verlinde-Verlinde formula. Zbl 1444.14095
Göttsche, Lothar; Kool, Martijn
4
2019
The cohomology ring of the Hilbert scheme of 3 points on a smooth projective variety. Zbl 0765.14010
Fantechi, Barbara; Göttsche, Lothar
4
1993
Generating functions for \(K\)-theoretic Donaldson invariants and Le Potier’s strange duality. Zbl 1470.14114
Göttsche, Lothar; Yuan, Yao
4
2019
Hilbert schemes of points and Heisenberg algebras. Zbl 1078.14505
Ellingsrud, Geir; Göttsche, Lothar
3
2000
Invariants of moduli spaces and modular forms. Zbl 1201.14004
Göttsche, Lothar
3
2009
Refined \(\text{SU}(3)\) Vafa-Witten invariants and modularity. Zbl 1455.14105
Göttsche, Lothar; Kool, Martijn
3
2018
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
2
2020
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
Orbifold-Hodge numbers of Hilbert schemes. Zbl 0878.14004
Göttsche, Lothar
1
1996
Donaldson invariants in algebraic geometry. Zbl 1042.14002
Göttsche, Lothar
1
2000
Verlinde formulae on complex surfaces: \(K\)-theoretic invariants. Zbl 1457.14024
Göttsche, L.; Kool, M.; Williams, R. A.
1
2021
Refined node polynomials via long edge graphs. Zbl 1358.14036
Göttsche, Lothar; Kikwai, Benjamin
1
2016
Hilbert schemes of zero-dimensional subschemes of smooth varieties. (Hilbertschemata nulldimensionaler Unterschemata glatter Varietäten.) Zbl 0846.14002
Göttsche, Lothar
1
1993
Verlinde formulae on complex surfaces: \(K\)-theoretic invariants. Zbl 1457.14024
Göttsche, L.; Kool, M.; Williams, R. A.
1
2021
Virtual refinements of the Vafa-Witten formula. Zbl 1440.14253
Göttsche, Lothar; Kool, Martijn
8
2020
Verlinde-type formulas for rational surfaces. Zbl 1442.14135
Göttsche, Lothar
2
2020
Refined broccoli invariants. Zbl 1439.14183
Göttsche, Lothar; Schroeter, Franziska
6
2019
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 1470.14114
Göttsche, Lothar; Yuan, Yao
4
2019
Refined \(\text{SU}(3)\) Vafa-Witten invariants and modularity. Zbl 1455.14105
Göttsche, Lothar; Kool, Martijn
3
2018
Refined curve counting with tropical geometry. Zbl 1348.14125
Block, Florian; Göttsche, Lothar
15
2016
Fock spaces and refined Severi degrees. Zbl 1404.14011
Block, Florian; Göttsche, Lothar
6
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
12
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
25
2010
\(K\)-theoretic Donaldson invariants via instanton counting. Zbl 1192.14011
Göttsche, Lothar; Nakajima, Hiraku; Yoshioka, Kōta
38
2009
Invariants of moduli spaces and modular forms. Zbl 1201.14004
Göttsche, Lothar
3
2009
Instanton counting and Donaldson invariants. Zbl 1172.57015
Göttsche, Lothar; Nakajima, Hiraku; Yoshioka, Kōta
29
2008
Fundamental algebraic geometry: Grothendieck’s FGA explained. Zbl 1085.14001
Fantechi, Barbara; Göttsche, Lothar; Illusie, Luc; Kleiman, Steven L.; Nitsure, Nitin; Vistoli, Angelo
109
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.
7
2002
On the cobordism class of the Hilbert scheme of a surface. Zbl 0976.14002
Ellingsrud, Geir; Göttsche, Lothar; Lehn, Manfred
47
2001
On the motive of the Hilbert scheme of points on a surface. Zbl 1079.14500
Göttsche, Lothar
22
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.
24
1999
Theta functions and Hodge numbers of moduli spaces of sheaves on rational surfaces. Zbl 0961.14022
Göttsche, Lothar
21
1999
A conjectural generating function for numbers of curves on surfaces. Zbl 0934.14038
Göttsche, Lothar
31
1998
Jacobi forms and the structure of Donaldson invariants for 4-manifolds with \(b_+=1\). Zbl 0924.57025
Göttsche, Lothar; Zagier, Don
27
1998
The quantum cohomology of blow-ups of \(\mathbb{P}^2\) and enumerative geometry. Zbl 0946.14033
Göttsche, L.; Pandharipande, R.
22
1998
Weak Brill-Noether for vector bundles on the projective plane. Zbl 0937.14010
Göttsche, Lothar; Hirschowitz, André
10
1998
Wall-crossing formulas, the Bott residue formula and the Donaldson invariants of rational surfaces. Zbl 0951.57016
Ellingsrud, Geir; Göttsche, Lothar
8
1998
Modular forms and Donaldson invariants for 4-manifolds with \(b_ +=1\). Zbl 0872.57027
Göttsche, Lothar
11
1996
Hodge numbers of moduli spaces of stable bundles on K3 surfaces. Zbl 0879.14013
Göttsche, L.; Huybrechts, D.
10
1996
Change of polarization and Hodge numbers of moduli spaces of torsion free sheaves on surfaces. Zbl 0884.14014
Göttsche, Lothar
8
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
13
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
50
1993
The cohomology ring of the Hilbert scheme of 3 points on a smooth projective variety. Zbl 0765.14010
Fantechi, Barbara; Göttsche, Lothar
4
1993
Hilbert schemes of zero-dimensional subschemes of smooth varieties. (Hilbertschemata nulldimensionaler Unterschemata glatter Varietäten.) Zbl 0846.14002
Göttsche, Lothar
1
1993
Zero cycles and \(k\)-th order embeddings of smooth projective surfaces. Appendix by Lothar Göttsche: Identification of very ample line bundles on \(S^{(r)}\). Zbl 0827.14029
Beltrametti, M.; Sommese, A. J.
31
1991
The Betti numbers of the Hilbert scheme of points on a smooth projective surface. Zbl 0679.14007
Göttsche, Lothar
97
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 648 Authors

16 Manschot, Jan
13 Göttsche, Lothar
9 Klemm, Albrecht
8 Pandharipande, Rahul
7 Leness, Thomas G.
7 Nakajima, Hiraku
7 Oprea, Dragos
7 Shustin, Eugenii Isaakovich
6 Boissière, Samuel
6 Feehan, Paul M. N.
6 Fu, Lie
6 Huang, Minxin
6 Ricolfi, Andrea T.
6 Thomas, Richard Paul
6 Toda, Yukinobu
6 Viviani, Filippo
6 Yoshioka, Kōta
5 Bonelli, Giulio
5 Bringmann, Kathrin
5 de Cataldo, Mark Andrea A.
5 Diaconescu, Duiliu-Emanuel
5 Huizenga, Jack
5 Kool, Martijn
5 Marian, Alina
5 Melo, Margarida
5 Migliorini, Luca
5 Moore, Gregory Winthrop
5 Okun’kov, Andreĭ Yur’evich
5 Pioline, Boris
5 Rapagnetta, Antonio
5 Tanaka, Hiromu
5 Tanzini, Alessandro
5 Zhou, Jian
4 Alexandrov, Sergei Yu.
4 Bershteĭn, Mikhaĭl Aleksandrovich
4 Biswas, Indranil
4 Bryan, Jim
4 Coskun, Izzet
4 Festuccia, Guido
4 Gusein-Zade, Sabir M.
4 Itenberg, Ilia V.
4 Jiang, Yunfeng
4 Katz, Sheldon
4 Kaufmann, Ralph M.
4 Leung, Naichung Conan
4 Luengo, Ignacio
4 Melle-Hernández, Alejandro
4 Ranganathan, Dhruv
4 Shen, Junliang
4 Shende, Vivek Vijay
4 Sheshmani, Artan
4 Szabo, Richard J.
4 Vistoli, Angelo
4 Wang, Weiqiang
4 Yuan, Yao
3 Ballico, Edoardo
3 Beltrametti, Mauro C.
3 Block, Florian
3 Bytsenko, Andrei A.
3 Cao, Yalong
3 Carlsson, Erik
3 Choi, Jinwon
3 Gholampour, Amin
3 Gu, Jie
3 Gyenge, Ádám
3 Haghighat, Babak
3 Iarrobino, Anthony A.
3 Kashani-Poor, Amir-Kian
3 Kharlamov, Viatcheslav M.
3 Kiem, Young-Hoon
3 Korpas, Georgios
3 Kovács, Sándor J.
3 Macrì, Emanuele
3 Maican, Mario
3 Markwig, Hannah
3 Meng, Sheng
3 Mukherjee, Ritwik
3 Nekrasov, Nikita Alexandrovich
3 Nieper-Wißkirchen, Marc Arnold
3 Pagani, Nicola
3 Qin, Zhenbo
3 Raum, Martin
3 Ronzani, Massimiliano
3 Ryan, Tim
3 Saccà, Giulia
3 Schroeter, Franziska
3 Sebastian, Ronnie
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 Bousseau, Pierrick
2 Brugallé, Erwan
2 Bruzzo, Ugo
...and 548 more Authors
all top 5

Cited in 131 Serials

38 Advances in Mathematics
30 Journal of High Energy Physics
21 Mathematische Annalen
20 Communications in Mathematical Physics
20 Mathematische Zeitschrift
19 Transactions of the American Mathematical Society
18 Journal of Geometry and Physics
18 Duke Mathematical Journal
17 Journal of Algebra
17 Journal of Algebraic Geometry
16 Selecta Mathematica. New Series
13 Geometry & Topology
12 Compositio Mathematica
12 Manuscripta Mathematica
11 Letters in Mathematical Physics
9 Journal of Pure and Applied Algebra
9 Journal of the European Mathematical Society (JEMS)
8 Annales de l’Institut Fourier
8 Inventiones Mathematicae
7 Communications in Algebra
7 Geometriae Dedicata
6 Nuclear Physics. B
6 Journal für die Reine und Angewandte Mathematik
6 Journal of the American Mathematical Society
6 Kyoto Journal of Mathematics
5 Michigan Mathematical Journal
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 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
4 Publications Mathématiques
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 Documenta Mathematica
4 Revista Matemática Complutense
4 Advances in Geometry
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Journal of Number Theory
3 Mathematische Nachrichten
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Indagationes Mathematicae. New Series
3 Acta Mathematica Sinica. English Series
3 Forum of Mathematics, Sigma
3 Research in the Mathematical Sciences
2 Mathematical Notes
2 Theoretical and Mathematical Physics
2 Journal of the London Mathematical Society. Second Series
2 Proceedings of the London Mathematical Society. Third Series
2 Expositiones Mathematicae
2 Journal of Algebraic Combinatorics
2 Applied Categorical Structures
2 Annales Henri Poincaré
2 Algebraic & Geometric Topology
2 Bulletin of the Brazilian Mathematical Society. New Series
2 Journal of the Institute of Mathematics of Jussieu
2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 Proceedings of the Steklov Institute of Mathematics
2 Japanese Journal of Mathematics. 3rd Series
2 Science China. Mathematics
2 European Journal of 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 Mathematical Proceedings of the Cambridge Philosophical Society
1 Periodica Mathematica Hungarica
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 Tohoku Mathematical Journal. Second Series
1 Transactions of the Moscow Mathematical Society
1 Chinese Annals of Mathematics. Series B
1 Discrete & Computational Geometry
1 Journal of the Ramanujan Mathematical Society
1 Science in China. Series A
1 Sugaku Expositions
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 Linear Algebra and its Applications
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Bulletin of the American Mathematical Society. New Series
...and 31 more Serials
all top 5

Cited in 36 Fields

467 Algebraic geometry (14-XX)
80 Quantum theory (81-XX)
65 Differential geometry (53-XX)
54 Number theory (11-XX)
40 Several complex variables and analytic spaces (32-XX)
36 Manifolds and cell complexes (57-XX)
28 Commutative algebra (13-XX)
25 Category theory; homological algebra (18-XX)
25 Algebraic topology (55-XX)
25 Relativity and gravitational theory (83-XX)
23 Global analysis, analysis on manifolds (58-XX)
21 Associative rings and algebras (16-XX)
19 Combinatorics (05-XX)
17 Group theory and generalizations (20-XX)
16 Nonassociative rings and algebras (17-XX)
16 \(K\)-theory (19-XX)
9 Topological groups, Lie groups (22-XX)
8 Mechanics of particles and systems (70-XX)
7 Dynamical systems and ergodic theory (37-XX)
6 Special functions (33-XX)
5 Geometry (51-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
3 General algebraic systems (08-XX)
3 Field theory and polynomials (12-XX)
3 Partial differential equations (35-XX)
3 Difference and functional equations (39-XX)
2 Functions of a complex variable (30-XX)
2 Ordinary differential equations (34-XX)
2 Convex and discrete geometry (52-XX)
2 Statistical mechanics, structure of matter (82-XX)
1 General and overarching topics; collections (00-XX)
1 Mathematical logic and foundations (03-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Approximations and expansions (41-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year

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