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Zeitschriftenartikel

Hertling, Claus ; Mase, Makiko (2022) The combinatorics of weight systems and characteristic polynomials of isolated quasihomogeneous singularities.

Journal of Algebraic Combinatorics Dordrecht [u.a.] 56 3 929-954 [Zeitschriftenartikel]

Hertling, Claus ; Mase, Makiko (2022) The integral monodromy of isolated quasihomogeneous singularities. Algebra & Number Theory Berkeley, Calif. 16 4 955-1024 [Zeitschriftenartikel]

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 [Zeitschriftenartikel]

Basalaev, Alexey ; Hertling, Claus (2021) 3-dimensional F-manifolds.

Letters in Mathematical Physics : LMP Dordrecht 111 4, Article 90 1-50 [Zeitschriftenartikel]

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 [Zeitschriftenartikel]

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

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 [Zeitschriftenartikel]

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 [Zeitschriftenartikel]

Brélivet, Thomas ; Hertling, Claus (2020) Bernoulli moments of spectral numbers and Hodge numbers. Journal of Singularities Cambridge, Mass. 20 Article 9 205-231 [Zeitschriftenartikel]

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 [Zeitschriftenartikel]

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

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 [Zeitschriftenartikel]

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

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

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 [Zeitschriftenartikel]

Hertling, Claus (2018) Geometry behind one of the Painlevé III differential equations.

Snapshots of modern mathematics from Oberwolfach Oberwolfach 2018 10 1-15 [Zeitschriftenartikel]

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 [Zeitschriftenartikel]

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 [Zeitschriftenartikel]

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

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

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 [Zeitschriftenartikel]

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 [Zeitschriftenartikel]

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

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 [Zeitschriftenartikel]

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 [Zeitschriftenartikel]

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 [Zeitschriftenartikel]

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

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 [Zeitschriftenartikel]

Hertling, Claus (2003) tt* geometry, Frobenius manifolds, their connections, and the construction for singularities. Journal für die reine und angewandte Mathematik Berlin ; New York 2003 555 77-161 [Zeitschriftenartikel]

Esnault, Hélène ; Hertling, Claus (2001) Semistable bundles on curves and reducible representations of the fundamental group. International Journal of Mathematics : IJM Singapore [u.a.] 12 7 847-855 [Zeitschriftenartikel]

Hertling, Claus (2000) Formules pour la multiplicité et le nombre de Milnor d’un feuilletage sur (C²,0). Annales de la Faculté des Sciences de Toulouse Toulouse [u.a.] 6. Sér., 9 4 655-670 [Zeitschriftenartikel]

Hertling, Claus ; Manin, Yuri (1999) Weak Frobenius manifolds. International Mathematics Research Notices : IMRN Oxford 1999 6 277-286 [Zeitschriftenartikel]

Hertling, Claus (1999) Classifying spaces for polarized mixed Hodge structures and for Brieskorn lattices. Compositio mathematica Cambridge 116 1 1-37 [Zeitschriftenartikel]

Hertling, Claus ; Stahlke, Colin (1999) Bernstein polynomial and Tjurina number. Geometriae dedicata Dordrecht [u.a.] 75 2 137-176 [Zeitschriftenartikel]

Greuel, Gert-Martin ; Hertling, Claus ; Pfister, Gerhard (1997) Moduli spaces of semiquasihomogeneous singularities with fixed principal part. Journal of Algebraic Geometry Providence, RI 6 1 169-199 [Zeitschriftenartikel]

Hertling, Claus (1995) Ein Torelli-Satz für die unimodalen und bimodularen Hyperflächensingularitäten. Mathematische Annalen Berlin ; Göttingen ; Heidelberg 302 2 359-394 [Zeitschriftenartikel]

Buch

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 [Buch]

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 [Buch]

Hertling, Claus (2002) Frobenius manifolds and moduli spaces for singularities. Cambridge Tracts in Mathematics Cambridge 151 [Buch]

Buchkapitel

Hertling, Claus ; Krause, Matthias ; Schmidt, Martin U.

(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 [Buchkapitel]

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 [Buchkapitel]

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 [Buchkapitel]

Hertling, Claus ; Manin, Yuri (2004) Unfoldings of meromorphic connections and a construction of Frobenius manifolds. Hertling, Claus ; Marcolli, Matilde Frobenius manifolds : quantum cohomology and singularities ; a publication of the Max-Planck-Institute for Mathematics, Bonn : workshop on Frobenius Structures, held at MPIM Bonn, July 8-19, 2002 Aspects of Mathematics = Aspekte der Mathematik. E Wiesbaden 36 113-144 [Buchkapitel]

Hertling, Claus (2002) Generic torelli for semiquasihomogeneous singularities. Libgober, Anatoly ; Tibăr, Mihai Trends in singularities Basel ; Berlin [u.a.] 115-140 [Buchkapitel]

Hertling, Claus (1998) Brieskorn lattices and Torelli type theorems for cubics in P³ and for Brieskorn-Pham singularities with coprime exponents. Arnolʹd, Vladimir Igoreevič ; Greuel, Gert-Martin ; Steenbrink, Joseph Henri Maria Singularities : the Brieskorn anniversary volume Progress in Mathematics : PM Basel ; Boston, Mass ; Berlin 162 167-194 [Buchkapitel]

Hertling, Claus (1996) Verzeichnis der mathematischen Schriften Felix Hausdorffs. Brieskorn, Egbert Felix Hausdorff zum Gedächtnis Braunschweig [u.a.] 1. Aspekte seines Werkes 283-286 [Buchkapitel]

Dissertation

Hertling, Claus (1993) Analytische Invarianten bei den unimodularen und bimodularen Hyperflächensingularitäten. Bonner mathematische Schriften Bonn 250 [Dissertation]

Konferenzveröffentlichung

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) [Konferenzveröffentlichung]

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) [Konferenzveröffentlichung]

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 [Konferenzveröffentlichung]

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 [Konferenzveröffentlichung]

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

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

Hertling, Claus Frobenius manifolds and hypersurface singularities. Mond, David ; Saia, Marcelo José Lecture Notes in Pure and Applied Mathematics 232 301-326 In: Real and complex singularities : the sixth workshop on Real and Complex Singularities, 17 – 21 July 2000, ICMC-USP, Sao Carlos, Brazil (2003) Boca Raton, Fla. 6th Workshop on Real and Complex Singularities (São Carlos, Brazil) [Konferenzveröffentlichung]

Hertling, Claus Frobenius manifolds and variance of the spectral numbers. Siersma, Dirk ; Wall, C. T. C. ; Zakalyukin, V. M. NATO Science Series. Series II, Mathematics, Physics and Chemistry 21 235-255 In: New developments in singularity theory : proceedings of the NATO Advanced Study Institute on New Developments in Singularity Theory, Cambridge, United Kingdom, 31 July - 11 August 2000 (2001) Dordrecht NATO Advanced Study Institute on New Developments in Singularity Theory, SGTW01 (Cambridge, UK) [Konferenzveröffentlichung]

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