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2023

Vujić, Matija (2023) Geometry of the sets of Nash equilibria in mixed extensions of finite games. Open Access Mannheim [Doctoral dissertation]
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2022

Mase, Makiko (2022) Lattice duality for coupling pairs admitting polytope duality with trivial toric contribution. Open Access Beiträge zur Algebra und Geometrie = Contributions to algebra and geometry Berlin ; Heidelberg 63 3 533-559 [Article]
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Hertling, Claus ; Mase, Makiko (2022) The combinatorics of weight systems and characteristic polynomials of isolated quasihomogeneous singularities. Open Access Journal of Algebraic Combinatorics Dordrecht [u.a.] 56 3 929-954 [Article]
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Hertling, Claus ; Mase, Makiko (2022) The integral monodromy of isolated quasihomogeneous singularities. Algebra & Number Theory Berkeley, Calif. 16 4 955-1024 [Article]

Hertling, Claus ; Mase, Makiko The integral monodromy of the cycle type singularities. Manoel, Miriam ; Masim, Laurentiu ; Aparecida Ruas, Maria ; Trotman, David Journal of Singularities 25 268-298 In: 16th International Workshop on Real and Complex Singularities - celebrating 30 years : ICMS, University of São Paulo, São Carlos, Brazil, November 23-30, 2020, proceedings (2022) Cambridge, Mass. 16th International Workshop on Real and Complex Singularities (São Carlos, Brazil, Online) [Conference or workshop publication]

Camacho, César ; Movasati, Hossein ; Hertling, Claus (2022) Algebraic curves and foliations : with an appendix by Claus Hertling. The Bulletin of the London Mathematical Society Oxford ; Hoboken, NJ 55 1 410-427 [Article]

2021

Hertling, Claus ; Krause, Matthias ; Schmidt, Martin U. ORCID: 0000-0002-1775-4701 (2021) Innovation, Interdisziplinarität und Internationalität: Die Fakultät für Wirtschaftsinformatik und Wirtschaftsmathematik. Borgstedt, Angela ; Eichfelder, Sandra ; Gassert, Philipp Eine Universität für die Gesellschaft : 75 Jahre Neubegründung Wirtschaftshochschule und Universität Mannheim Ubstadt-Weiher 129-132 [Book chapter]

Basalaev, Alexey ; Hertling, Claus (2021) 3-dimensional F-manifolds. Open Access Letters in Mathematical Physics : LMP Dordrecht 111 4, Article 90 1-50 [Article]
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Hertling, Claus Bondal, Alexey ; Kapranov, Mikhail ; Kohno, Toshitake ; Takahashi, Atsushi ; Yoshinaga, Masahiko (2021) Rank 2 bundles with meromorphic connections with poles of Poincaré rank 1 :. Special issue on primitive forms and related topics in honor of Kyoji Saito for his 77th birthday Symmetry, Integrability and Geometry: Methods and Applications : SIGMA Erscheinungsort nicht ermittelbar 17 Article 082 1-73 [Article]

David, Liana ; Hertling, Claus (2021) Meromorphic connections over F-manifolds. Novikov, Sergej P. ; Kričever, Igor M. ; Ogievetsky, Oleg ; Shlosman, Senya Integrability, quantization, and geometry : dedicated to the memory of Boris Dubrovin, 1950-2019. Volume 1: Integrable systems Proceedings of symposia in pure mathematics Providence, RI 103 171-216 [Book chapter]

Hertling, Claus ; Roucairol, Céline (2021) Destinguished bases and Stokes regions for the simple and the simple elliptic singularities. Ji, Lizhen ; Yau, Shing-Tung Moduli spaces and locally symmetric spaces Surveys of Modern Mathematics Somerville, Mass. ; Beijing 16 39-106 [Book chapter]

2020

Mase, Makiko (2020) Polytope duality for families of K3 surfaces and coupling. Open Access Bulletin of the Brazilian Mathematical Society = Boletim da Sociedade Brasileira de Matemática Heidelberg [u.a.] 52 2021 499-536 [Article]
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Brélivet, Thomas ; Hertling, Claus (2020) Bernoulli moments of spectral numbers and Hodge numbers. Journal of Singularities Cambridge, Mass. 20 Article 9 205-231 [Article]

David, Liana ; Hertling, Claus (2020) (T)-structures over two-dimensional F-manifolds: formal classification. Annali di matematica pura ed applicata Heidelberg 199 3 1221-1242 [Article]

Balnojan, Sven ; Hertling, Claus (2020) Conjectures on spectral numbers for upper triangular matrices and for singularities. Mathematical Physics, Analysis and Geometry Dordrecht [u.a.] 23 1, Article 5 1-49 [Article]

Hertling, Claus (2020) Automorphisms with eigenvalues in S1 of a Z-lattice with cyclic finite monodromy. Acta Arithmetica Warszawa 192 1 1-30 [Article]

David, Liana ; Hertling, Claus (2020) (TE)-structures over the irreducible 2-dimensional globally nilpotent F-manifold germ. Revue Roumaine de mathématiques pures et appliquées = Romanian Journal of Pure and Applied Mathematics Bucarest 65 3. Special issue dedicated to Professor Vasile Brînzănescu on his 75th birthday 235-284 [Article]

2019

Hertling, Claus ; Zilke, Philip (2019) Seven combinatorial problems around isolated quasihomogeneous singularities. Journal of Algebraic Combinatorics Dordrecht [u.a.] 50 4 447-482 [Article]

Balnojan, Sven ; Hertling, Claus (2019) Real Seifert forms and polarizing forms of Steenbrink mixed Hodge structures. Bulletin of the Brazilian Mathematical Society = Boletim da Sociedade Brasileira de Matemática Heidelberg [u.a.] N.S. 50 1 233-274 [Article]

Balnojan, Sven ; Hertling, Claus (2019) Reduced and nonreduced presentations of Weyl group elements. Journal of Lie Theory Lemgo 29 2 559-599 [Article]

2018

Balnojan, Sven (2018) Stokes matrices of isolated hypersurface singularities. Open Access Mannheim [Doctoral dissertation]
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Gauß, Falko (2018) Period maps and Torelli results for marked hypersurface singularities. Open Access Mannheim [Doctoral dissertation]
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Gauss, Falko ; Hertling, Claus (2018) μ-constant monodromy groups and Torelli results for the quadrangle singularities and the bimodal series. Journal of Singularities Cambridge, Mass. 18. Special volume in honor of the life and mathematics of Egbert Brieskorn 119-214 [Article]

Hertling, Claus ; Varchenko, Alexander (2018) Potentials of a Frobenius-like structure. Glasgow Mathematical Journal Cambridge 60 3 681-693 [Article]

Hertling, Claus (2018) Geometry behind one of the Painlevé III differential equations. Open Access Snapshots of modern mathematics from Oberwolfach Oberwolfach 2018 10 1-15 [Article]
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2017

David, Liana ; Hertling, Claus (2017) Regular F-manifolds: initial conditions and Frobenius metrics. Annali della Scuola Normale Superiore di Pisa, Classe di Scienze Pisa 5. Ser., 17 3 1121-1152 [Article]

Guest, Martin A. ; Hertling, Claus (2017) Painlevé III : a case study in the geometry of meromorphic connections. Lecture Notes in Mathematics Berlin ; Heidelberg [u.a.] 2198 [Book]

Gauss, Falko ; Hertling, Claus μ-constant monodromy groups and Torelli results for marked singularities, for the unimodal and some bimodal singularities. Decker, Wolfram ; Pfister, Gerhard ; Schulze, Mathias 109-146 In: Singularities and computer algebra : Festschrift for Gert-Martin Greuel on the occasion of his 70th birthday (2017) Cham Conference on Singularities and Computer Algebra (Lambrecht, Germany) [Conference or workshop publication]

2016

David, Liana ; Hertling, Claus (2016) Hermitian metrics on F-manifolds. Journal of Geometry and Physics : JGP Amsterdam [u.a.] 107 60-78 [Article]

Hertling, Claus ; Sabbah, Claude ; Sevenheck, Christian (2016) Mirror Symmetry, Hodge Theory and Differential Equations : workshop 1517b, 19. April - 25. April 2015, report no. 22/2015. Oberwolfach Reports : OWR Berlin 12 2 1201-1254 [Article]

2012

Sevenheck, Christian (2012) Duality of Gauß-Manin systems associated to linear free divisors. Mannheim [Report]

Hertling, Claus ; Kurbel, Ralf (2012) On the classification of quasihomogeneous singularities. Journal of Singularities Cambridge, Mass. 4 131-153 [Article]

Sevenheck, Christian (2012) Mirror symmetry, singularity theory and non-commutative Hotdge structures. Jahresbericht der Deutschen Mathematiker-Vereinigung Heidelberg [u.a.] 114 3 131-162 [Article]

Dubrovin, Boris ; Hertling, Claus ; Strachan, Ian A. B. ; Wendland, Katrin (2012) Singularity Theory and Integrable Systems : workshop 1217b, April 22nd – April 28th, 2012, report no. 23/2012. Oberwolfach Reports : OWR Berlin 9 2 1361-1403 [Article]

2011

Hertling, Claus ; Sabbah, Claude (2011) Examples of non-commutative Hodge structures. Journal of the Institute of Mathematics of Jussieu : JIMJ = Journal de l'Institut de Mathématiques de Jussieu Cambridge 10 3 635-674 [Article]

Sevenheck, Christian ; Reichelt, Thomas (2011) Logarithmic Frobenius manifolds, hypergeometric systems and quantum D-modules. Mannheim [Report]

Sevenheck, Christian (2011) Bernstein polynomials and spectral numbers for linear free divisors. Annales de l'Institut Fourier Grenoble 61 1 379-400 [Article]

Hertling, Claus ; Sabbah, Claude (2011) μ-constant monodromy groups and marked singularities. Annales de l'Institut Fourier Grenoble 61 7 2643-2680 [Article]

2010

Hertling, Claus ; Sevenheck, Christian (2010) Limit of families of Brieskorn lattices and compactified classifiying spaces. Advances in Mathematics Amsterdam [u.a.] 223 4 1155-1224 [Article]

Hertling, Claus ; Hoevenaars, Luuk ; Posthuma, Hessel (2010) Frobenius manifolds, projective special geometry and Hitchin systems. Journal für die reine und angewandte Mathematik Berlin ; New York 649 117-165 [Article]

2009

Manin, Yuri ; Teleman, Constantin ; Hertling, Claus (2009) An update on semisimple quantum cohomology and F-manifolds. Proceedings of the Steklov Institute of Mathematics / American Mathematical Society Birmingham, Ala. [u.a.] 264 62-69 [Article]

Gregorio, Ignacio de ; Mond, David ; Sevenheck, Christian (2009) Linear free divisors and Frobenius manifolds. Compositio mathematica Cambridge 145 5 1305-1350 [Article]

Reichelt, Thomas (2009) A Construction of Frobenius Manifolds with Logarithmic Poles and Applications. Communications in Mathematical Physics Berlin [u.a.] 287 3 1145-1187 [Article]

2008

Hertling, Claus ; Sevenheck, Christian (2008) Curvature of classifying spaces for Brieskorn lattices. Journal of Geometry and Physics Amsterdam [u.a.] 58 11 1591-1606 [Article]

Hertling, Claus ; Sevenheck, Christian Twistor structures, tt* geometry and singularity theory. Donagi, Ron Proceedings of symposia in pure mathematics 78 49-73 In: From Hodge theory to integrability and TQFT : tt*-geometry; International Workshop from TQFT to tt* and Integrability, May 25 - 29, 2007, University of Augsburg, Augsburg, Germany (2008) Providence, RI [Conference or workshop publication]

2007

Hertling, Claus ; Sevenheck, Christian (2007) Nilpotent orbits of a generalization of Hodge structures. Journal für die reine und angewandte Mathematik Berlin ; New York 609 23-80 [Article]

Roucairol, Céline (2007) Formal structure of direct image of holonomic D-modules of exponential type. Manuscripta mathematica Berlin; Heidelberg [u.a.] 124 3 299-318 [Article]

2006

Hertling, Claus tt* geometry and mixed Hodge structures. Izumiya, Shyuichi Advanced Studies in Pure Mathematics 43 73-84 In: Singularity theory and its applications : [conference on Singularity theory and its applications (MSJ-IRI2003) in Sapporo, Japan, on 16-25 September 2003] (2006) Tokyo [Conference or workshop publication]

Roucairol, Céline (2006) Irregularity of an analogue of the Gauss-Manin systems. Bulletin de la Société Mathématique de France Paris 134 269-286 [Article]

Roucairol, Céline (2006) The irregularity of the direct image of some D-modules. Publications of the Research Institute for Mathematical Sciences / Kyoto University Kyoto 42 923-932 [Article]

2005

Hertling, Claus Formes bilinéaires et hermitiennes pour des singularités: un apercu. Hertling, Claus Institut Elie Cartan 18 1-17 In: Singularités (2005) Nancy [Conference or workshop publication]

Hertling, Claus Structures tt*. Hertling, Claus Institut Elie Cartan 18 47-65 In: Singularités (2005) Nancy [Conference or workshop publication]

2004

Hertling, Claus ; Marcolli, Matilde (2004) Frobenius manifolds : quantum cohomology and singularities ; a publication of the Max-Planck-Institute for Mathematics, Bonn. Aspects of Mathematics = Aspekte der Mathematik. E Wiesbaden 36 [Book]

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