Hertling, Claus

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 Author ID: hertling.claus Published as: Hertling, Claus; Hertling, C. External Links: MGP
 Documents Indexed: 47 Publications since 1993, including 3 Books 3 Contributions as Editor Co-Authors: 25 Co-Authors with 33 Joint Publications 666 Co-Co-Authors
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Co-Authors

 17 single-authored 5 David, Liana 5 Sevenheck, Christian 3 Balnojan, Sven 3 Manin, Yuri Ivanovich 2 Gauss, Falko 2 Sabbah, Claude 1 Basalaev, Alexey 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 Mase, Makiko 1 Pfister, Gerhard 1 Posthuma, Hessel Bouke 1 Roucairol, Céline 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 Letters in Mathematical Physics 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 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 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 1 Algebra & Number Theory
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Fields

 39 Several complex variables and analytic spaces (32-XX) 26 Algebraic geometry (14-XX) 18 Differential geometry (53-XX) 8 Ordinary differential equations (34-XX) 6 Global analysis, analysis on manifolds (58-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 3 General and overarching topics; collections (00-XX) 2 Number theory (11-XX) 2 Nonassociative rings and algebras (17-XX) 1 History and biography (01-XX) 1 Combinatorics (05-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 Operator theory (47-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

37 Publications have been cited 344 times in 203 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
Classifying spaces for polarized mixed Hodge structures and for Brieskorn lattices. Zbl 0922.32019
Hertling, Claus
1999
Nilpotent orbits of a generalization of Hodge structures. Zbl 1136.32011
Hertling, Claus; Sevenheck, Christian
2007
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
Frobenius manifolds and variance of the spectral numbers. Zbl 0993.32018
Hertling, Claus
2001
Frobenius manifolds, projective special geometry and Hitchin systems. Zbl 1217.53086
Hertling, Claus; Hoevenaars, Luuk; Posthuma, Hessel
2010
Regular $$F$$-manifolds: initial conditions and Frobenius metrics. Zbl 1396.32004
David, Liana; Hertling, Claus
2017
On the classification of quasihomogeneous singularities. Zbl 1292.32013
Hertling, Claus; Kurbel, Ralf
2012
Curvature of classifying spaces for Brieskorn lattices. Zbl 1160.14005
Hertling, Claus; Sevenheck, Christian
2008
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
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
Formulas for the multiplicity and the Milnor number of a foliation on $$(\mathbb{C}^2,0)$$. (Formules pour la multiplicité et le nombre de Milnor d’un feuilletage sur $$(\mathbb{C}^2,0)$$.) Zbl 1002.32024
Hertling, Claus
2000
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
Conjectures on spectral numbers for upper triangular matrices and for singularities. Zbl 1439.32073
Balnojan, Sven; Hertling, Claus
2020
$$(TE)$$-structures over the irreducible 2-dimensional globally nilpotent $$F$$-manifold germ. Zbl 07340517
David, Liana; Hertling, Claus
2020
Potentials of a Frobenius-like structure. Zbl 1391.05073
Hertling, Claus; Varchenko, Alexander
2018
A Torelli theorem for unimodal and bimodal hypersurface singularities. (Ein Torelli-Satz für die unimodularen und bimodularen Hyperflächensingularitäten.) Zbl 0843.32020
Hertling, Claus
1995
Moduli spaces of semiquasihomogeneous singularities with fixed principal part. Zbl 0877.14010
Greuel, Gert-Martin; Hertling, Claus; Pfister, Gerhard
1997
$$\mu$$-constant monodromy groups and marked singularities. (Groupe de monodromie $$\mu$$-constant et singularités marquées.) Zbl 1279.32021
Hertling, Claus
2011
$$\mu$$-constant monodromy groups and Torelli results for marked singularities, for the unimodal and some bimodal singularities. Zbl 1380.32029
Gauss, Falko; Hertling, Claus
2017
Bilinear and Hermitian forms of singularities: a survey. (Formes bilinéaires et hermitiennes pour des singularités: un aperçu.) Zbl 1109.32024
Hertling, Claus
2006
Bernoulli moments of spectral numbers and Hodge numbers. Zbl 1451.14023
Brélivet, Thomas; Hertling, Claus
2020
Meromorphic connections over F-manifolds. Zbl 1478.53141
David, Liana; Hertling, Claus
2021
Real Seifert forms and polarizing forms of Steenbrink mixed Hodge structures. Zbl 1420.32020
Balnojan, Sven; Hertling, Claus
2019
Analytic invariants for unimodular and bimodular hypersurface singularities. (Analytische Invarianten bei den unimodularen und bimodularen Hyperflächensingularitäten.) Zbl 0833.32006
Hertling, Claus
1993
Mirror symmetry, Hodge theory and differential equations. Abstracts from the workshop held April 19–25, 2015. Zbl 1380.00091
2015
$$tt^*$$ geometry and mixed Hodge structures. Zbl 1127.14300
Hertling, Claus
2006
Distinguished bases and Stokes gegions for the simple and the simple elliptic singularities. Zbl 1478.32093
Hertling, Claus; Roucairol, Céline
2021
$$(T)$$-structures over two-dimensional $$F$$-manifolds: formal classification. Zbl 1455.53047
David, Liana; Hertling, Claus
2020
Reduced and nonreduced presentations of Weyl group elements. Zbl 1446.17023
Balnojan, Sven; Hertling, Claus
2019
Meromorphic connections over F-manifolds. Zbl 1478.53141
David, Liana; Hertling, Claus
2021
Distinguished bases and Stokes gegions for the simple and the simple elliptic singularities. Zbl 1478.32093
Hertling, Claus; Roucairol, Céline
2021
Conjectures on spectral numbers for upper triangular matrices and for singularities. Zbl 1439.32073
Balnojan, Sven; Hertling, Claus
2020
$$(TE)$$-structures over the irreducible 2-dimensional globally nilpotent $$F$$-manifold germ. Zbl 07340517
David, Liana; Hertling, Claus
2020
Bernoulli moments of spectral numbers and Hodge numbers. Zbl 1451.14023
Brélivet, Thomas; Hertling, Claus
2020
$$(T)$$-structures over two-dimensional $$F$$-manifolds: formal classification. Zbl 1455.53047
David, Liana; Hertling, Claus
2020
Real Seifert forms and polarizing forms of Steenbrink mixed Hodge structures. Zbl 1420.32020
Balnojan, Sven; Hertling, Claus
2019
Reduced and nonreduced presentations of Weyl group elements. Zbl 1446.17023
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
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. (Groupe de monodromie $$\mu$$-constant et singularités marquées.) 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
Bilinear and Hermitian forms of singularities: a survey. (Formes bilinéaires et hermitiennes pour des singularités: un aperçu.) Zbl 1109.32024
Hertling, Claus
2006
$$tt^*$$ geometry and mixed Hodge structures. Zbl 1127.14300
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 $$(\mathbb{C}^2,0)$$. (Formules pour la multiplicité et le nombre de Milnor d’un feuilletage sur $$(\mathbb{C}^2,0)$$.) 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. (Ein Torelli-Satz für die unimodularen und bimodularen Hyperflächensingularitäten.) Zbl 0843.32020
Hertling, Claus
1995
Analytic invariants for unimodular and bimodular hypersurface singularities. (Analytische Invarianten bei den unimodularen und bimodularen Hyperflächensingularitäten.) Zbl 0833.32006
Hertling, Claus
1993
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Cited by 233 Authors

 15 Hertling, Claus 11 Iritani, Hiroshi 8 Milanov, Todor E. 7 Douai, Antoine 7 Strachan, Ian A. B. 6 David, Liana 6 Lorenzoni, Paolo 6 Sabbah, Claude 6 Sevenheck, Christian 5 Arsie, Alessandro 5 Coates, Tom 5 Ruan, Yongbin 5 Schäfer, Lars 4 Cotti, Giordano 4 Mochizuki, Takuro 4 Shen, Yefeng 4 Shiraishi, Yuuki 4 Takahashi, Atsushi 3 Dinar, Yassir Ibrahim 3 Dubrovin, Boris Anatol’evich 3 Fan, Huijun 3 Isaev, Alexander 3 Li, Si 3 Liu, Siqi 3 Mano, Toshiyuki 3 Merkulov, Sergei A. 3 Reichelt, Thomas 3 Schulze, Mathias 3 Varchenko, Alexander Nikolaevich 3 Zhang, Youjin 2 Balnojan, Sven 2 Basalaev, Alexey 2 Biswas, Indranil 2 Chiodo, Alessandro 2 Dalakov, Peter 2 Dunin-Barkovskiĭ, Petr Igorevich 2 Galkin, Sergeĭ 2 Guzzetti, Davide 2 Hefez, Abramo 2 Heu, Viktoria 2 Hien, Marco 2 Kato, Mitsuo 2 Konopelchenko, Boris Georgievich 2 Kuznetsov, Aleksandr Gennad’evich 2 Lin, Jiezhu 2 Manin, Yuri Ivanovich 2 Mann, Etienne 2 Poon, Yat Sun 2 Rahmati, Mohammad Reza 2 Rossi, Paolo 2 Sekiguchi, Jiro 2 Shadrin, Sergey V. 2 Smirnov, Maxim 2 Stoppa, Jacopo 2 Teleman, Constantin 2 Vyugin, Ilya V. 2 Zuo, Dafeng 1 Al-Maamari, Zainab 1 Alanís-López, Lilia 1 Alëshkin, Konstantin Romanovich 1 Almirón, Patricio 1 Amorim, Lino 1 Aramaki, Daisuke 1 Artal Bartolo, Enrique 1 Artebani, Michela 1 Azam, Saeid 1 Bai, Chengming 1 Barlet, Daniel 1 Bartocci, Claudio 1 Bashkirov, Denis 1 Belavin, Aleksandr Abramovich 1 Ben Hassine, Abdelkader 1 Biswas, Shibananda 1 Blanco, Guillem 1 Bolsinov, Alexey V. 1 Bonatti, Christian 1 Brasselet, Jean-Paul 1 Brélivet, Thomas 1 Bridgeland, Tom 1 Brown, Michael Kegan 1 Buchweitz, Ragnar-Olaf 1 Buryak, Alexandr Y. 1 Cadman, Paul 1 Cano, José Maria 1 Castaño Domínguez, Alberto 1 Chapuy, Guillaume 1 Chen, Yu-Tung 1 Chtioui, Taoufik 1 Combe, Noemie C. 1 Combe, Philippe 1 Comparin, Paola 1 D’Agnolo, Andrea 1 Datta, Swarnendu 1 Davenport, Ian C. 1 de Gregorio, Ignacio 1 Dela-Rosa, Miguel Angel 1 Dotsenko, Vladimir Viktorovich 1 Douvropoulos, Theo 1 Feigin, Misha V. 1 Feitosa de Almeida, Guilherme ...and 133 more Authors
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Cited in 76 Serials

 19 Journal of Geometry and Physics 16 Advances in Mathematics 14 Communications in Mathematical Physics 14 Letters in Mathematical Physics 14 Annales de l’Institut Fourier 7 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 4 Duke Mathematical Journal 4 Geometriae Dedicata 4 Mathematische Zeitschrift 4 Journal of Symbolic Computation 3 Theoretical and Mathematical Physics 3 Mathematische Annalen 3 Geometry & Topology 3 Journal of High Energy Physics 3 Journal of the Institute of Mathematics of Jussieu 2 Mathematical Notes 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Journal of Algebra 2 Journal für die Reine und Angewandte Mathematik 2 Michigan Mathematical Journal 2 Tôhoku Mathematical Journal. Second Series 2 Transactions of the American Mathematical Society 2 International Journal of Mathematics 2 Differential Geometry and its Applications 2 Journal of Algebraic Combinatorics 2 Journal of Algebraic Geometry 2 Selecta Mathematica. New Series 2 Mathematical Physics, Analysis and Geometry 2 Journal of Dynamical and Control Systems 2 Bulletin of the Brazilian Mathematical Society. New Series 2 The Journal of Prime Research in Mathematics 2 Journal of Singularities 2 Kyoto Journal of Mathematics 1 Communications in Algebra 1 Journal of Mathematical Physics 1 Nonlinearity 1 Beiträge zur Algebra und Geometrie 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Compositio Mathematica 1 Glasgow Mathematical Journal 1 Publications Mathématiques 1 Inventiones Mathematicae 1 Journal of Pure and Applied Algebra 1 Manuscripta Mathematica 1 Memoirs of the American Mathematical Society 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 Revista Matemática Iberoamericana 1 Multidimensional Systems and Signal Processing 1 The Journal of Geometric Analysis 1 Indagationes Mathematicae. New Series 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Russian Journal of Mathematical Physics 1 Turkish Journal of Mathematics 1 Bulletin des Sciences Mathématiques 1 Opuscula Mathematica 1 Vietnam Journal of Mathematics 1 Revista Matemática Complutense 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 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 Random Matrices: Theory and Applications 1 Complex Analysis and its Synergies 1 Complex Manifolds 1 Information Geometry
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Cited in 33 Fields

 108 Algebraic geometry (14-XX) 108 Differential geometry (53-XX) 75 Several complex variables and analytic spaces (32-XX) 23 Ordinary differential equations (34-XX) 22 Quantum theory (81-XX) 19 Nonassociative rings and algebras (17-XX) 16 Dynamical systems and ergodic theory (37-XX) 13 Category theory; homological algebra (18-XX) 12 Global analysis, analysis on manifolds (58-XX) 9 Partial differential equations (35-XX) 8 Commutative algebra (13-XX) 7 Associative rings and algebras (16-XX) 5 Group theory and generalizations (20-XX) 5 Relativity and gravitational theory (83-XX) 3 Number theory (11-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Convex and discrete geometry (52-XX) 3 Manifolds and cell complexes (57-XX) 2 Combinatorics (05-XX) 2 Functions of a complex variable (30-XX) 2 Special functions (33-XX) 2 Information and communication theory, circuits (94-XX) 1 $$K$$-theory (19-XX) 1 Topological groups, Lie groups (22-XX) 1 Potential theory (31-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Algebraic topology (55-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Computer science (68-XX)