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Huybrechts, Daniel

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Author ID: huybrechts.daniel Recent zbMATH articles by "Huybrechts, Daniel"
Published as: Huybrechts, Daniel; Huybrechts, D.
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Documents Indexed: 56 Publications since 1992, including 7 Books

Publications by Year

Citations contained in zbMATH Open

50 Publications have been cited 1,591 times in 1,161 Documents Cited by Year
The geometry of moduli spaces of sheaves. Zbl 0872.14002
Huybrechts, Daniel; Lehn, Manfred
274
1997
Fourier-Mukai transforms in algebraic geometry. Zbl 1095.14002
Huybrechts, D.
223
2006
The geometry of moduli spaces of sheaves. 2nd ed. Zbl 1206.14027
Huybrechts, Daniel; Lehn, Manfred
211
2010
Compact hyperkähler manifolds: Basic results. Zbl 0953.53031
Huybrechts, Daniel
113
1999
Complex geometry. An introduction. Zbl 1055.14001
Huybrechts, Daniel
109
2005
Lectures on \(K\)3 surfaces. Zbl 1360.14099
Huybrechts, Daniel
66
2016
Equivalences of twisted K3 surfaces. Zbl 1092.14047
Huybrechts, Daniel; Stellari, Paolo
45
2005
Calabi-Yau manifolds and related geometries. Lectures at a summer school in Nordfjordeid, Norway, June 2001. Zbl 1001.00028
Gross, Mark (ed.); Huybrechts, Daniel (ed.); Joyce, Dominic (ed.)
43
2003
Framed modules and their moduli. Zbl 0865.14004
Huybrechts, D.; Lehn, M.
34
1995
Deformation-obstruction theory for complexes via Atiyah and Kodaira-Spencer classes. Zbl 1186.14014
Huybrechts, Daniel; Thomas, Richard P.
34
2010
Stable pairs on curves and surfaces. Zbl 0839.14023
Huybrechts, D.; Lehn, M.
32
1995
The Kähler cone of a compact hyperkähler manifold. Zbl 1023.14015
Huybrechts, Daniel
28
2003
\(\mathbb P\)-objects and autoequivalences of derived categories. Zbl 1094.14012
Huybrechts, Daniel; Thomas, Richard
26
2006
Derived equivalences of K3 surfaces and orientation. Zbl 1237.18008
Huybrechts, Daniel; Macrì, Emanuele; Stellari, Paolo
25
2009
Generalized Calabi-Yau structures, \(K3\) surfaces, and \(B\)-fields. Zbl 1120.14027
Huybrechts, Daniel
24
2005
Birational symplectic manifolds and their deformations. Zbl 0917.53010
Huybrechts, Daniel
22
1997
The \(K3\) category of a cubic fourfold. Zbl 1440.14180
Huybrechts, Daniel
22
2017
Erratum to: Compact hyperkähler manifolds: basic results. Zbl 1029.53058
Huybrechts, Daniel
21
2003
Stability conditions for generic \(K3\) categories. Zbl 1152.14037
Huybrechts, Daniel; Macrì, Emanuele; Stellari, Paolo
21
2008
Compact hyperkähler manifolds. Zbl 1016.53038
Huybrechts, Daniel
17
2003
Finiteness results for compact hyperkähler manifolds. Zbl 1042.53032
Huybrechts, Daniel
17
2003
Curves and cycles on \(K3\) surfaces (with an appendix by C. Voisin). Zbl 1291.14058
Huybrechts, Daniel
15
2014
Derived and abelian equivalence of \(K3\) surfaces. Zbl 1157.14021
Huybrechts, Daniel
15
2008
A global Torelli theorem for hyperkähler manifolds. Zbl 1272.32014
Huybrechts, Daniel
13
2012
The tangent bundle of a Calabi-Yau manifold. Deformations and restriction to rational curves. Zbl 0852.14011
Huybrechts, D.
11
1995
Introduction to stability conditions. Zbl 1316.14003
Huybrechts, D.
10
2014
Hodge numbers of moduli spaces of stable bundles on K3 surfaces. Zbl 0879.14013
Göttsche, L.; Huybrechts, D.
10
1996
Appendix: proof of Căldăraru’s conjecture. Zbl 1118.14049
Huybrechts, Daniel; Stellari, Paolo
10
2006
Motives of derived equivalent \(K3\) surfaces. Zbl 1426.14004
Huybrechts, D.
9
2018
Chow groups of \(K3\) surfaces and spherical objects. Zbl 1206.14032
Huybrechts, Daniel
8
2010
On derived categories of \(K3\) surfaces, symplectic automorphisms and the Conway group. Zbl 1386.14137
Huybrechts, Daniel
8
2016
Symplectic automorphisms of \(K3\) surfaces of arbitrary finite order. Zbl 1266.14030
Huybrechts, Daniel
7
2012
The Brauer group of analytic \(K3\) surfaces. Zbl 1074.14015
Huybrechts, Daniel; Schröer, Stefan
7
2003
Moduli spaces of hyper-Kähler manifolds and mirror symmetry. Zbl 1110.53034
Huybrechts, Daniel
7
2004
Remarks on derived equivalences of Ricci-flat manifolds. Zbl 1213.32012
Huybrechts, Daniel; Nieper-Wisskirchen, Marc
6
2011
The global Torelli theorem: classical, derived, twisted. Zbl 1179.14015
Huybrechts, Daniel
6
2009
Motives of isogenous \(K3\) surfaces. Zbl 1445.14008
Huybrechts, Daniel
6
2019
Stable maps and Chow groups. Zbl 1295.14035
Huybrechts, D.; Kemeny, M.
5
2013
Products of harmonic forms and rational curves. Zbl 1054.32014
Huybrechts, Daniel
5
2001
Hochschild cohomology versus the Jacobian ring and the Torelli theorem for cubic fourfolds. Zbl 1428.14066
Huybrechts, Daniel; Rennemo, Jørgen Vold
5
2019
Chow groups and derived categories of \(K3\) surfaces. Zbl 1255.14006
Huybrechts, Daniel
4
2012
Hodge theory of cubic fourfolds, their Fano varieties, and associated \(K3\) categories. Zbl 1442.14130
Huybrechts, Daniel
4
2019
Formal deformations and their categorical general fibre. Zbl 1215.18015
Huybrechts, Daniel; Macrì, Emanuele; Stellari, Paolo
3
2011
A note on the Bloch-Beilinson conjecture for \(K3\) surfaces and spherical objects. Zbl 1316.14035
Huybrechts, Daniel
2
2011
Complete curves in moduli spaces of stable bundles on surfaces. Zbl 0789.14007
Huybrechts, D.
2
1994
Finiteness of polarized \(K3\) surfaces and hyperkähler manifolds. (Finitude des surfaces \(K3\) et des variétés Hyperkähleriennes polarisées.) Zbl 1423.14230
Huybrechts, Daniel
2
2018
Hyperkähler manifolds and sheaves. Zbl 1226.14027
Huybrechts, Daniel
1
2011
Erratum to: “Deformation-obstruction theory for complexes via Atiyah and Kodaira-Spencer classes”. Zbl 1283.14007
Huybrechts, Daniel; Thomas, Richard P.
1
2014
Projectivity of Kähler varieties - Kodaira’s problem (after C. Voisin). Zbl 1194.32009
Huybrechts, Daniel
1
2007
Stable vector bundles on algebraic surfaces. Tyurin’s method for studying the geometry of moduli spaces. (Stabile Vektorbündel auf algebraischen Flächen. Tyurins Methode zum Studium der Geometrie der Modulräume.) Zbl 0879.14017
Huybrechts, Daniel
1
1992
Motives of isogenous \(K3\) surfaces. Zbl 1445.14008
Huybrechts, Daniel
6
2019
Hochschild cohomology versus the Jacobian ring and the Torelli theorem for cubic fourfolds. Zbl 1428.14066
Huybrechts, Daniel; Rennemo, Jørgen Vold
5
2019
Hodge theory of cubic fourfolds, their Fano varieties, and associated \(K3\) categories. Zbl 1442.14130
Huybrechts, Daniel
4
2019
Motives of derived equivalent \(K3\) surfaces. Zbl 1426.14004
Huybrechts, D.
9
2018
Finiteness of polarized \(K3\) surfaces and hyperkähler manifolds. (Finitude des surfaces \(K3\) et des variétés Hyperkähleriennes polarisées.) Zbl 1423.14230
Huybrechts, Daniel
2
2018
The \(K3\) category of a cubic fourfold. Zbl 1440.14180
Huybrechts, Daniel
22
2017
Lectures on \(K\)3 surfaces. Zbl 1360.14099
Huybrechts, Daniel
66
2016
On derived categories of \(K3\) surfaces, symplectic automorphisms and the Conway group. Zbl 1386.14137
Huybrechts, Daniel
8
2016
Curves and cycles on \(K3\) surfaces (with an appendix by C. Voisin). Zbl 1291.14058
Huybrechts, Daniel
15
2014
Introduction to stability conditions. Zbl 1316.14003
Huybrechts, D.
10
2014
Erratum to: “Deformation-obstruction theory for complexes via Atiyah and Kodaira-Spencer classes”. Zbl 1283.14007
Huybrechts, Daniel; Thomas, Richard P.
1
2014
Stable maps and Chow groups. Zbl 1295.14035
Huybrechts, D.; Kemeny, M.
5
2013
A global Torelli theorem for hyperkähler manifolds. Zbl 1272.32014
Huybrechts, Daniel
13
2012
Symplectic automorphisms of \(K3\) surfaces of arbitrary finite order. Zbl 1266.14030
Huybrechts, Daniel
7
2012
Chow groups and derived categories of \(K3\) surfaces. Zbl 1255.14006
Huybrechts, Daniel
4
2012
Remarks on derived equivalences of Ricci-flat manifolds. Zbl 1213.32012
Huybrechts, Daniel; Nieper-Wisskirchen, Marc
6
2011
Formal deformations and their categorical general fibre. Zbl 1215.18015
Huybrechts, Daniel; Macrì, Emanuele; Stellari, Paolo
3
2011
A note on the Bloch-Beilinson conjecture for \(K3\) surfaces and spherical objects. Zbl 1316.14035
Huybrechts, Daniel
2
2011
Hyperkähler manifolds and sheaves. Zbl 1226.14027
Huybrechts, Daniel
1
2011
The geometry of moduli spaces of sheaves. 2nd ed. Zbl 1206.14027
Huybrechts, Daniel; Lehn, Manfred
211
2010
Deformation-obstruction theory for complexes via Atiyah and Kodaira-Spencer classes. Zbl 1186.14014
Huybrechts, Daniel; Thomas, Richard P.
34
2010
Chow groups of \(K3\) surfaces and spherical objects. Zbl 1206.14032
Huybrechts, Daniel
8
2010
Derived equivalences of K3 surfaces and orientation. Zbl 1237.18008
Huybrechts, Daniel; Macrì, Emanuele; Stellari, Paolo
25
2009
The global Torelli theorem: classical, derived, twisted. Zbl 1179.14015
Huybrechts, Daniel
6
2009
Stability conditions for generic \(K3\) categories. Zbl 1152.14037
Huybrechts, Daniel; Macrì, Emanuele; Stellari, Paolo
21
2008
Derived and abelian equivalence of \(K3\) surfaces. Zbl 1157.14021
Huybrechts, Daniel
15
2008
Projectivity of Kähler varieties - Kodaira’s problem (after C. Voisin). Zbl 1194.32009
Huybrechts, Daniel
1
2007
Fourier-Mukai transforms in algebraic geometry. Zbl 1095.14002
Huybrechts, D.
223
2006
\(\mathbb P\)-objects and autoequivalences of derived categories. Zbl 1094.14012
Huybrechts, Daniel; Thomas, Richard
26
2006
Appendix: proof of Căldăraru’s conjecture. Zbl 1118.14049
Huybrechts, Daniel; Stellari, Paolo
10
2006
Complex geometry. An introduction. Zbl 1055.14001
Huybrechts, Daniel
109
2005
Equivalences of twisted K3 surfaces. Zbl 1092.14047
Huybrechts, Daniel; Stellari, Paolo
45
2005
Generalized Calabi-Yau structures, \(K3\) surfaces, and \(B\)-fields. Zbl 1120.14027
Huybrechts, Daniel
24
2005
Moduli spaces of hyper-Kähler manifolds and mirror symmetry. Zbl 1110.53034
Huybrechts, Daniel
7
2004
Calabi-Yau manifolds and related geometries. Lectures at a summer school in Nordfjordeid, Norway, June 2001. Zbl 1001.00028
Gross, Mark; Huybrechts, Daniel; Joyce, Dominic
43
2003
The Kähler cone of a compact hyperkähler manifold. Zbl 1023.14015
Huybrechts, Daniel
28
2003
Erratum to: Compact hyperkähler manifolds: basic results. Zbl 1029.53058
Huybrechts, Daniel
21
2003
Compact hyperkähler manifolds. Zbl 1016.53038
Huybrechts, Daniel
17
2003
Finiteness results for compact hyperkähler manifolds. Zbl 1042.53032
Huybrechts, Daniel
17
2003
The Brauer group of analytic \(K3\) surfaces. Zbl 1074.14015
Huybrechts, Daniel; Schröer, Stefan
7
2003
Products of harmonic forms and rational curves. Zbl 1054.32014
Huybrechts, Daniel
5
2001
Compact hyperkähler manifolds: Basic results. Zbl 0953.53031
Huybrechts, Daniel
113
1999
The geometry of moduli spaces of sheaves. Zbl 0872.14002
Huybrechts, Daniel; Lehn, Manfred
274
1997
Birational symplectic manifolds and their deformations. Zbl 0917.53010
Huybrechts, Daniel
22
1997
Hodge numbers of moduli spaces of stable bundles on K3 surfaces. Zbl 0879.14013
Göttsche, L.; Huybrechts, D.
10
1996
Framed modules and their moduli. Zbl 0865.14004
Huybrechts, D.; Lehn, M.
34
1995
Stable pairs on curves and surfaces. Zbl 0839.14023
Huybrechts, D.; Lehn, M.
32
1995
The tangent bundle of a Calabi-Yau manifold. Deformations and restriction to rational curves. Zbl 0852.14011
Huybrechts, D.
11
1995
Complete curves in moduli spaces of stable bundles on surfaces. Zbl 0789.14007
Huybrechts, D.
2
1994
Stable vector bundles on algebraic surfaces. Tyurin’s method for studying the geometry of moduli spaces. (Stabile Vektorbündel auf algebraischen Flächen. Tyurins Methode zum Studium der Geometrie der Modulräume.) Zbl 0879.14017
Huybrechts, Daniel
1
1992
all top 5

Cited by 1,068 Authors

30 Biswas, Indranil
15 Huybrechts, Daniel
15 Macrì, Emanuele
15 Stellari, Paolo
14 Toda, Yukinobu
14 Verbitsky, Misha
14 Yoshioka, Kōta
13 Faenzi, Daniele
11 Camere, Chiara
10 Markman, Eyal
10 Thomas, Richard Paul
9 Ballico, Edoardo
9 Bayer, Arend
9 Cao, Yalong
9 Casnati, Gianfranco
9 Fu, Lie
9 Markushevich, Dimitri Genrikhovich
9 Mongardi, Giovanni
9 Sarti, Alessandra
8 Bernardara, Marcello
8 Gómez, Tomás L.
8 Joyce, Dominic David
8 Krug, Andreas
8 Kuznetsov, Aleksandr Gennad’evich
8 Laterveer, Robert
8 Oguiso, Keiji
8 Peternell, Thomas Martin
8 Sawon, Justin
8 Tikhomirov, Alexander Sergeevich
7 Addington, Nicolas M.
7 Boissière, Samuel
7 Cautis, Sabin
7 Chung, Kiryong
7 Huh, Sukmoon
7 Huizenga, Jack
7 Kool, Martijn
7 Langer, Adrian
7 Lo, Jason
7 Sheshmani, Artan
6 Antieau, Benjamin
6 Brenner, Holger
6 Bruzzo, Ugo
6 Coskun, Izzet
6 Donovan, Will
6 Gholampour, Amin
6 Greb, Daniel
6 Hochenegger, Andreas
6 Kebekus, Stefan
6 Malaspina, Francesco
6 Manschot, Jan
6 Meachan, Ciaran
6 Nakashima, Tohru
6 Nuer, Howard J.
6 O’Grady, Kieran G.
6 Tomassini, Adriano
6 Vial, Charles
6 Voisin, Claire
6 Zhang, Ziyu
5 Amerik, Ekaterina Yu.
5 Bazzoni, Giovanni
5 Bernig, Andreas
5 Cattaneo, Andrea
5 Dey, Arijit
5 Diaconescu, Duiliu-Emanuel
5 Druel, Stéphane
5 Flamini, Flaminio
5 Göttsche, Lothar
5 Gulbrandsen, Martin G.
5 Inaba, Michi-aki
5 Kamnitzer, Joel
5 Kaur, Inder
5 Knutsen, Andreas Leopold
5 Lahoz, Martí
5 Lehn, Manfred
5 Leung, Naichung Conan
5 Lieblich, Max David
5 Mirò-Roig, Rosa Maria
5 Ouchi, Genki
5 Ploog, David
5 Rapagnetta, Antonio
5 Sols, Ignacio
5 Sosna, Pawel
5 Toma, Matei
4 Anderson, Lara B.
4 Basu, Suratno
4 Bolognesi, Michele
4 Dan, Ananyo
4 Fu, Baohua
4 Garcia-Fernandez, Mario
4 Honigs, Katrina
4 Hoskins, Victoria
4 Huang, Teng
4 Iliev, Atanas Iliev
4 Jardim, Marcos
4 Kamenova, Ljudmila
4 Kawatani, Kotaro
4 Kiem, Young-Hoon
4 Kovács, Sándor J.
4 Ma, Shouhei
4 Maican, Mario
...and 968 more Authors
all top 5

Cited in 161 Serials

87 Advances in Mathematics
51 Journal of Geometry and Physics
51 Mathematische Zeitschrift
37 Mathematische Annalen
33 Journal of Algebraic Geometry
31 Duke Mathematical Journal
29 Communications in Mathematical Physics
29 International Journal of Mathematics
28 Compositio Mathematica
28 Geometriae Dedicata
26 Journal für die Reine und Angewandte Mathematik
26 Proceedings of the American Mathematical Society
26 Transactions of the American Mathematical Society
26 Selecta Mathematica. New Series
24 Journal of Algebra
23 Inventiones Mathematicae
23 Manuscripta Mathematica
21 Journal of Pure and Applied Algebra
21 Kyoto Journal of Mathematics
20 Journal of High Energy Physics
19 Annales de l’Institut Fourier
15 Comptes Rendus. Mathématique. Académie des Sciences, Paris
12 Journal de Mathématiques Pures et Appliquées. Neuvième Série
12 Central European Journal of Mathematics
11 Communications in Algebra
11 Annali di Matematica Pura ed Applicata. Serie Quarta
11 Bulletin des Sciences Mathématiques
11 Geometry & Topology
10 Documenta Mathematica
10 Journal of the European Mathematical Society (JEMS)
9 Nuclear Physics. B
9 Publications of the Research Institute for Mathematical Sciences, Kyoto University
9 Communications in Contemporary Mathematics
8 Archiv der Mathematik
8 Mathematische Nachrichten
8 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
8 Transformation Groups
7 Letters in Mathematical Physics
7 Journal of the Mathematical Society of Japan
7 Journal of the American Mathematical Society
7 Geometric and Functional Analysis. GAFA
7 Annals of Mathematics. Second Series
7 European Journal of Mathematics
6 Journal of the London Mathematical Society. Second Series
6 Nagoya Mathematical Journal
6 The Journal of Geometric Analysis
6 Revista Matemática Complutense
6 Acta Mathematica Sinica. English Series
6 Journal de l’École Polytechnique – Mathématiques
5 Mathematical Proceedings of the Cambridge Philosophical Society
5 Beiträge zur Algebra und Geometrie
5 Illinois Journal of Mathematics
5 Publications Mathématiques
5 Tohoku Mathematical Journal. Second Series
5 Sbornik: Mathematics
5 Algebras and Representation Theory
5 Advances in Geometry
5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
5 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
5 Forum of Mathematics, Sigma
5 Research in the Mathematical Sciences
5 Complex Manifolds
4 Israel Journal of Mathematics
4 Bulletin of the London Mathematical Society
4 Memoirs of the American Mathematical Society
4 Michigan Mathematical Journal
4 Rendiconti del Circolo Matemàtico di Palermo. Serie II
4 Rendiconti del Seminario Matematico della Università di Padova
4 Annals of Global Analysis and Geometry
4 Differential Geometry and its Applications
4 Journal of the Institute of Mathematics of Jussieu
4 Annales Henri Lebesgue
3 Collectanea Mathematica
3 Siberian Mathematical Journal
3 Tokyo Journal of Mathematics
3 Nuclear Physics, B, Proceedings Supplements
3 Mediterranean Journal of Mathematics
3 Science China. Mathematics
3 Bollettino dell’Unione Matematica Italiana
2 Journal of Mathematical Physics
2 Mathematics of Computation
2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
2 Acta Mathematica Vietnamica
2 Commentarii Mathematici Helvetici
2 Glasgow Mathematical Journal
2 Journal of Number Theory
2 Osaka Journal of Mathematics
2 Topology and its Applications
2 Journal of the Ramanujan Mathematical Society
2 Sugaku Expositions
2 Linear Algebra and its Applications
2 Bulletin of the American Mathematical Society. New Series
2 Expositiones Mathematicae
2 Indagationes Mathematicae. New Series
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Calculus of Variations and Partial Differential Equations
2 Izvestiya: Mathematics
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
2 Journal of Physics A: Mathematical and Theoretical
2 Japanese Journal of Mathematics. 3rd Series
...and 61 more Serials
all top 5

Cited in 45 Fields

952 Algebraic geometry (14-XX)
225 Differential geometry (53-XX)
187 Several complex variables and analytic spaces (32-XX)
134 Category theory; homological algebra (18-XX)
68 Quantum theory (81-XX)
62 Associative rings and algebras (16-XX)
44 Global analysis, analysis on manifolds (58-XX)
38 Number theory (11-XX)
38 Commutative algebra (13-XX)
29 Nonassociative rings and algebras (17-XX)
23 Manifolds and cell complexes (57-XX)
20 Relativity and gravitational theory (83-XX)
18 Group theory and generalizations (20-XX)
18 Dynamical systems and ergodic theory (37-XX)
15 Algebraic topology (55-XX)
13 \(K\)-theory (19-XX)
13 Topological groups, Lie groups (22-XX)
10 Partial differential equations (35-XX)
8 Functions of a complex variable (30-XX)
7 Linear and multilinear algebra; matrix theory (15-XX)
7 Functional analysis (46-XX)
6 Convex and discrete geometry (52-XX)
4 Ordinary differential equations (34-XX)
3 Combinatorics (05-XX)
3 Field theory and polynomials (12-XX)
3 Operator theory (47-XX)
3 Mechanics of particles and systems (70-XX)
2 Special functions (33-XX)
2 Geometry (51-XX)
2 Probability theory and stochastic processes (60-XX)
2 Computer science (68-XX)
2 Statistical mechanics, structure of matter (82-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Mathematical logic and foundations (03-XX)
1 General algebraic systems (08-XX)
1 Measure and integration (28-XX)
1 Difference and functional equations (39-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Abstract harmonic analysis (43-XX)
1 Statistics (62-XX)
1 Numerical analysis (65-XX)
1 Systems theory; control (93-XX)
1 Information and communication theory, circuits (94-XX)
1 Mathematics education (97-XX)

Citations by Year

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