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## Hertling, Claus

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 Author ID: hertling.claus Published as: Hertling, C.; Hertling, Claus External Links: MGP
 Documents Indexed: 45 Publications since 1993, including 4 Books
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#### Co-Authors

 16 single-authored 5 Sevenheck, Christian 4 David, Liana 3 Balnojan, Sven 3 Manin, Yuri Ivanovich 2 Gauss, Falko 2 Sabbah, Claude 1 Brélivet, Thomas 1 Dubrovin, Boris Anatol’evich 1 Esnault, Hélène 1 Greuel, Gert-Martin 1 Guest, Martin A. 1 Hoevenaars, Luuk K. 1 Kurbel, Ralf 1 Marcolli, Matilde 1 Pfister, Gerhard 1 Posthuma, Hessel Bouke 1 Stahlke, Colin 1 Strachan, Ian A. B. 1 Teleman, Constantin 1 Varchenko, Alexander Nikolaevich 1 Wendland, Katrin 1 Zilke, Philip
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#### Serials

 3 Journal für die Reine und Angewandte Mathematik 3 Journal of Singularities 2 Journal of Geometry and Physics 2 Oberwolfach Reports 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 Acta Arithmetica 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Compositio Mathematica 1 Geometriae Dedicata 1 Glasgow Mathematical Journal 1 Mathematische Annalen 1 International Journal of Mathematics 1 IMRN. International Mathematics Research Notices 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Journal of Algebraic Combinatorics 1 Journal of Algebraic Geometry 1 Journal of Lie Theory 1 Mathematical Physics, Analysis and Geometry 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Journal of the Institute of Mathematics of Jussieu 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Aspects of Mathematics 1 Bonner Mathematische Schriften 1 Cambridge Tracts in Mathematics 1 Lecture Notes in Mathematics 1 Proceedings of the Steklov Institute of Mathematics
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#### Fields

 35 Several complex variables and analytic spaces (32-XX) 25 Algebraic geometry (14-XX) 16 Differential geometry (53-XX) 6 Ordinary differential equations (34-XX) 5 Global analysis, analysis on manifolds (58-XX) 3 General and overarching topics; collections (00-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 2 Nonassociative rings and algebras (17-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Group theory and generalizations (20-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX)

#### Citations contained in zbMATH Open

31 Publications have been cited 290 times in 170 Documents Cited by Year
Frobenius manifolds and moduli spaces for singularities. Zbl 1023.14018
Hertling, Claus
2002
Weak Frobenius manifolds. Zbl 0960.58003
Hertling, C.; Manin, Yu.
1999
$$tt^*$$ geometry, Frobenius manifolds, their connections, and the construction for singularities. Zbl 1040.53095
Hertling, Claus
2003
Nilpotent orbits of a generalization of Hodge structures. Zbl 1136.32011
Hertling, Claus; Sevenheck, Christian
2007
Classifying spaces for polarized mixed Hodge structures and for Brieskorn lattices. Zbl 0922.32019
Hertling, Claus
1999
Unfoldings of meromorphic connections and a construction of Frobenius manifolds. Zbl 1101.32013
Hertling, Claus; Manin, Yuri
2004
An update on semisimple quantum cohomology and $$F$$-manifolds. Zbl 1312.14128
Hertling, Claus; Manin, Yuri I.; Teleman, Constantin
2009
Limits of families of Brieskorn lattices and compactified classifying spaces. Zbl 1190.14011
Hertling, Claus; Sevenheck, Christian
2010
On the classification of quasihomogeneous singularities. Zbl 1292.32013
Hertling, Claus; Kurbel, Ralf
2012
Frobenius manifolds, projective special geometry and Hitchin systems. Zbl 1217.53086
Hertling, Claus; Hoevenaars, Luuk; Posthuma, Hessel
2010
Curvature of classifying spaces for Brieskorn lattices. Zbl 1160.14005
Hertling, Claus; Sevenheck, Christian
2008
Frobenius manifolds and variance of the spectral numbers. Zbl 0993.32018
Hertling, Claus
2001
Examples of non-commutative Hodge structures. Zbl 1246.14019
Hertling, Claus; Sabbah, Claude
2011
Semistable bundles on curves and reducible representations of the fundamental group. Zbl 1079.14515
Esnault, Hélène; Hertling, Claus
2001
Regular $$F$$-manifolds: initial conditions and Frobenius metrics. Zbl 1396.32004
David, Liana; Hertling, Claus
2017
Twistor structures, $$tt^*$$-geometry and singularity theory. Zbl 1151.14304
Hertling, Claus; Sevenheck, Christian
2008
Bernstein polynomial and Tjurina number. Zbl 0955.32022
Hertling, Claus; Stahlke, Colin
1999
Generic Torelli for semiquasihomogeneous singularities. Zbl 1025.32025
Hertling, Claus
2002
Brieskorn lattices and Torelli type theorems for cubics in $$\mathbb{P}^3$$ and for Brieskorn-Pham singularities with coprime exponents. Zbl 0915.14023
Hertling, Claus
1998
$$\mu$$-constant monodromy groups and Torelli results for marked singularities, for the unimodal and some bimodal singularities. Zbl 1380.32029
Gauss, Falko; Hertling, Claus
2017
$$\mu$$-constant monodromy groups and marked singularities. Zbl 1279.32021
Hertling, Claus
2011
Moduli spaces of semiquasihomogeneous singularities with fixed principal part. Zbl 0877.14010
Greuel, Gert-Martin; Hertling, Claus; Pfister, Gerhard
1997
A Torelli theorem for unimodal and bimodal hypersurface singularities. Zbl 0843.32020
Hertling, Claus
1995
Conjectures on spectral numbers for upper triangular matrices and for singularities. Zbl 1439.32073
Balnojan, Sven; Hertling, Claus
2020
Real Seifert forms and polarizing forms of Steenbrink mixed Hodge structures. Zbl 1420.32020
Balnojan, Sven; Hertling, Claus
2019
Potentials of a Frobenius-like structure. Zbl 1391.05073
Hertling, Claus; Varchenko, Alexander
2018
Mirror symmetry, Hodge theory and differential equations. Abstracts from the workshop held April 19–25, 2015. Zbl 1380.00091
Hertling, Claus (ed.); Sabbah, Claude (ed.); Sevenheck, Christian (ed.)
2015
$$tt^*$$ geometry and mixed Hodge structures. Zbl 1127.14300
Hertling, Claus
2006
Bilinear and Hermitian forms of singularities: a survey. Zbl 1109.32024
Hertling, Claus
2006
Formulas for the multiplicity and the Milnor number of a foliation on $$(\mathbb{C}^2,0)$$. Zbl 1002.32024
Hertling, Claus
2000
Analytic invariants for unimodular and bimodular hypersurface singularities. Zbl 0833.32006
Hertling, Claus
1993
Conjectures on spectral numbers for upper triangular matrices and for singularities. Zbl 1439.32073
Balnojan, Sven; Hertling, Claus
2020
Real Seifert forms and polarizing forms of Steenbrink mixed Hodge structures. Zbl 1420.32020
Balnojan, Sven; Hertling, Claus
2019
Potentials of a Frobenius-like structure. Zbl 1391.05073
Hertling, Claus; Varchenko, Alexander
2018
Regular $$F$$-manifolds: initial conditions and Frobenius metrics. Zbl 1396.32004
David, Liana; Hertling, Claus
2017
$$\mu$$-constant monodromy groups and Torelli results for marked singularities, for the unimodal and some bimodal singularities. Zbl 1380.32029
Gauss, Falko; Hertling, Claus
2017
Mirror symmetry, Hodge theory and differential equations. Abstracts from the workshop held April 19–25, 2015. Zbl 1380.00091
Hertling, Claus (ed.); Sabbah, Claude (ed.); Sevenheck, Christian (ed.)
2015
On the classification of quasihomogeneous singularities. Zbl 1292.32013
Hertling, Claus; Kurbel, Ralf
2012
Examples of non-commutative Hodge structures. Zbl 1246.14019
Hertling, Claus; Sabbah, Claude
2011
$$\mu$$-constant monodromy groups and marked singularities. Zbl 1279.32021
Hertling, Claus
2011
Limits of families of Brieskorn lattices and compactified classifying spaces. Zbl 1190.14011
Hertling, Claus; Sevenheck, Christian
2010
Frobenius manifolds, projective special geometry and Hitchin systems. Zbl 1217.53086
Hertling, Claus; Hoevenaars, Luuk; Posthuma, Hessel
2010
An update on semisimple quantum cohomology and $$F$$-manifolds. Zbl 1312.14128
Hertling, Claus; Manin, Yuri I.; Teleman, Constantin
2009
Curvature of classifying spaces for Brieskorn lattices. Zbl 1160.14005
Hertling, Claus; Sevenheck, Christian
2008
Twistor structures, $$tt^*$$-geometry and singularity theory. Zbl 1151.14304
Hertling, Claus; Sevenheck, Christian
2008
Nilpotent orbits of a generalization of Hodge structures. Zbl 1136.32011
Hertling, Claus; Sevenheck, Christian
2007
$$tt^*$$ geometry and mixed Hodge structures. Zbl 1127.14300
Hertling, Claus
2006
Bilinear and Hermitian forms of singularities: a survey. Zbl 1109.32024
Hertling, Claus
2006
Unfoldings of meromorphic connections and a construction of Frobenius manifolds. Zbl 1101.32013
Hertling, Claus; Manin, Yuri
2004
$$tt^*$$ geometry, Frobenius manifolds, their connections, and the construction for singularities. Zbl 1040.53095
Hertling, Claus
2003
Frobenius manifolds and moduli spaces for singularities. Zbl 1023.14018
Hertling, Claus
2002
Generic Torelli for semiquasihomogeneous singularities. Zbl 1025.32025
Hertling, Claus
2002
Frobenius manifolds and variance of the spectral numbers. Zbl 0993.32018
Hertling, Claus
2001
Semistable bundles on curves and reducible representations of the fundamental group. Zbl 1079.14515
Esnault, Hélène; Hertling, Claus
2001
Formulas for the multiplicity and the Milnor number of a foliation on $$(\mathbb{C}^2,0)$$. Zbl 1002.32024
Hertling, Claus
2000
Weak Frobenius manifolds. Zbl 0960.58003
Hertling, C.; Manin, Yu.
1999
Classifying spaces for polarized mixed Hodge structures and for Brieskorn lattices. Zbl 0922.32019
Hertling, Claus
1999
Bernstein polynomial and Tjurina number. Zbl 0955.32022
Hertling, Claus; Stahlke, Colin
1999
Brieskorn lattices and Torelli type theorems for cubics in $$\mathbb{P}^3$$ and for Brieskorn-Pham singularities with coprime exponents. Zbl 0915.14023
Hertling, Claus
1998
Moduli spaces of semiquasihomogeneous singularities with fixed principal part. Zbl 0877.14010
Greuel, Gert-Martin; Hertling, Claus; Pfister, Gerhard
1997
A Torelli theorem for unimodal and bimodal hypersurface singularities. Zbl 0843.32020
Hertling, Claus
1995
Analytic invariants for unimodular and bimodular hypersurface singularities. Zbl 0833.32006
Hertling, Claus
1993
all top 5

#### Cited by 184 Authors

 13 Hertling, Claus 9 Iritani, Hiroshi 8 Strachan, Ian A. B. 7 Milanov, Todor E. 6 David, Liana 6 Douai, Antoine 6 Sabbah, Claude 6 Sevenheck, Christian 5 Lorenzoni, Paolo 5 Ruan, Yongbin 5 Schäfer, Lars 4 Arsie, Alessandro 4 Coates, Tom 4 Shen, Yefeng 4 Takahashi, Atsushi 3 Dubrovin, Boris Anatol’evich 3 Isaev, Alexander 3 Liu, Siqi 3 Mano, Toshiyuki 3 Merkulov, Sergei A. 3 Mochizuki, Takuro 3 Reichelt, Thomas 3 Shiraishi, Yuuki 3 Zhang, Youjin 2 Balnojan, Sven 2 Biswas, Indranil 2 Chiodo, Alessandro 2 Cotti, Giordano 2 Dalakov, Peter 2 Dinar, Yassir Ibrahim 2 Fan, Huijun 2 Galkin, Sergeĭ 2 Guzzetti, Davide 2 Hefez, Abramo 2 Heu, Viktoria 2 Hien, Marco 2 Kato, Mitsuo 2 Konopelchenko, Boris Georgievich 2 Li, Si 2 Lin, Jiezhu 2 Manin, Yuri Ivanovich 2 Mann, Etienne 2 Rahmati, Mohammad Reza 2 Schulze, Mathias 2 Sekiguchi, Jiro 2 Shadrin, Sergey V. 2 Shklyarov, Dmytro 2 Stoppa, Jacopo 2 Teleman, Constantin 2 Varchenko, Alexander Nikolaevich 2 Vyugin, Ilya V. 2 Zuo, Dafeng 1 Alëshkin, Konstantin Romanovich 1 Aramaki, Daisuke 1 Artebani, Michela 1 Bai, Chengming 1 Barlet, Daniel 1 Bartocci, Claudio 1 Basalaev, Alexey 1 Belavin, Aleksandr Abramovich 1 Blanco, Guillem 1 Brasselet, Jean-Paul 1 Brélivet, Thomas 1 Bridgeland, Tom 1 Brown, Michael Kegan 1 Buchweitz, Ragnar-Olaf 1 Cadman, Paul 1 Castaño Domínguez, Alberto 1 Chen, Yu-Tung 1 Comparin, Paola 1 D’Agnolo, Andrea 1 Davenport, Ian C. 1 de Gregorio, Ignacio 1 Dela-Rosa, Miguel Angel 1 Dotsenko, Vladimir Viktorovich 1 Dunin-Barkovskiĭ, Petr Igorevich 1 Feigin, Misha V. 1 Fels, Gregor 1 Ferguson, James T. 1 Fernández de Bobadilla, Javier 1 Fernández Vargas, Néstor 1 Filippini, Sara Angela 1 Fredrickson, Laura 1 Frenkel, Edward V. 1 Frühbis-Krüger, Anne 1 Fu, Yulong 1 Garcia-Fernandez, Mario 1 Gauss, Falko 1 Givental, Alexander Borisovich 1 Golyshev, Vasily V. 1 Gorbounov, Vassily 1 Guest, Martin A. 1 Guilbot, Robin 1 Guimarães, Andréa 1 Harder, Andrew 1 Heller, Sebastian Gregor 1 Hernandes, Marcelo Escudeiro 1 Hoevenaars, Luuk K. 1 Hori, Kentaro 1 Huang, Minxin ...and 84 more Authors
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#### Cited in 66 Serials

 19 Journal of Geometry and Physics 14 Advances in Mathematics 14 Annales de l’Institut Fourier 13 Communications in Mathematical Physics 10 Letters in Mathematical Physics 4 Duke Mathematical Journal 3 Theoretical and Mathematical Physics 3 Geometriae Dedicata 3 Journal für die Reine und Angewandte Mathematik 3 Mathematische Annalen 3 Mathematische Zeitschrift 3 Journal of Symbolic Computation 3 Geometry & Topology 3 Journal of High Energy Physics 3 Journal of the Institute of Mathematics of Jussieu 3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Mathematical Notes 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Michigan Mathematical Journal 2 Tohoku Mathematical Journal. Second Series 2 Transactions of the American Mathematical Society 2 Differential Geometry and its Applications 2 Journal of Algebraic Geometry 2 Bulletin of the Brazilian Mathematical Society. New Series 2 The Journal of Prime Research in Mathematics 2 Journal of Singularities 1 Journal of Mathematical Physics 1 Beiträge zur Algebra und Geometrie 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Glasgow Mathematical Journal 1 Publications Mathématiques 1 Inventiones Mathematicae 1 Journal of Algebra 1 Journal of Pure and Applied Algebra 1 Manuscripta Mathematica 1 Osaka Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Rendiconti del Seminario Matematico della Università di Padova 1 Results in Mathematics 1 Annals of Global Analysis and Geometry 1 Physica D 1 International Journal of Mathematics 1 Multidimensional Systems and Signal Processing 1 The Journal of Geometric Analysis 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Journal of Algebraic Combinatorics 1 Russian Journal of Mathematical Physics 1 Selecta Mathematica. New Series 1 Bulletin des Sciences Mathématiques 1 Opuscula Mathematica 1 Mathematical Physics, Analysis and Geometry 1 Revista Matemática Complutense 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Journal of Dynamical and Control Systems 1 Proceedings of the Steklov Institute of Mathematics 1 Functional Analysis and Other Mathematics 1 Journal of Physics A: Mathematical and Theoretical 1 Journal of Commutative Algebra 1 Advances in Mathematical Physics 1 Science China. Mathematics 1 Kyoto Journal of Mathematics 1 Random Matrices: Theory and Applications 1 Complex Analysis and its Synergies
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#### Cited in 28 Fields

 93 Algebraic geometry (14-XX) 93 Differential geometry (53-XX) 59 Several complex variables and analytic spaces (32-XX) 21 Ordinary differential equations (34-XX) 21 Quantum theory (81-XX) 14 Dynamical systems and ergodic theory (37-XX) 13 Nonassociative rings and algebras (17-XX) 10 Partial differential equations (35-XX) 10 Global analysis, analysis on manifolds (58-XX) 8 Category theory; homological algebra (18-XX) 6 Commutative algebra (13-XX) 5 Associative rings and algebras (16-XX) 4 Relativity and gravitational theory (83-XX) 3 Number theory (11-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Group theory and generalizations (20-XX) 3 Manifolds and cell complexes (57-XX) 2 Functions of a complex variable (30-XX) 2 Special functions (33-XX) 2 Convex and discrete geometry (52-XX) 1 Combinatorics (05-XX) 1 Topological groups, Lie groups (22-XX) 1 Potential theory (31-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Algebraic topology (55-XX) 1 Computer science (68-XX) 1 Information and communication theory, circuits (94-XX)