Hertling, Claus; Roucairol, Céline Distinguished bases and Stokes regions for the simple and the simple elliptic singularities. (English) Zbl 1478.32093 Ji, LizhenTung (ed.) et al., Moduli spaces and locally symmetric spaces. Based on two workshops, Morningside Center of Mathematics, Beijing, China, February 2017 and March 2019. Somerville, MA: International Press; Beijing: Higher Education Press. Surv. Mod. Math. 16, 39-106 (2021). MSC: 32S25 32S30 58K70 32H35 14C17 PDFBibTeX XMLCite \textit{C. Hertling} and \textit{C. Roucairol}, Surv. Mod. Math. 16, 39--106 (2021; Zbl 1478.32093) Full Text: arXiv
Brélivet, Thomas; Hertling, Claus Bernoulli moments of spectral numbers and Hodge numbers. (English) Zbl 1451.14023 J. Singul. 20, 205-231 (2020). Reviewer: Mohammad Reza Rahmati (León) MSC: 14C30 32S25 62E99 32S35 PDFBibTeX XMLCite \textit{T. Brélivet} and \textit{C. Hertling}, J. Singul. 20, 205--231 (2020; Zbl 1451.14023) Full Text: DOI arXiv
Gauss, Falko; Hertling, Claus \(\mu\)-constant monodromy groups and Torelli results for the quadrangle singularities and the bimodal series. (English) Zbl 1403.32016 J. Singul. 18, 119-214 (2018). MSC: 32S15 32S40 14D22 58K70 PDFBibTeX XMLCite \textit{F. Gauss} and \textit{C. Hertling}, J. Singul. 18, 119--214 (2018; Zbl 1403.32016) Full Text: DOI arXiv
Guest, Martin A.; Hertling, Claus Painlevé III: a case study in the geometry of meromorphic connections. (English) Zbl 1374.14001 Lecture Notes in Mathematics 2198. Cham: Springer (ISBN 978-3-319-66525-2/pbk; 978-3-319-66526-9/ebook). xii, 202 p. (2017). Reviewer: Vladimir P. Kostov (Nice) MSC: 14-02 14C30 14D20 PDFBibTeX XMLCite \textit{M. A. Guest} and \textit{C. Hertling}, Painlevé III: a case study in the geometry of meromorphic connections. Cham: Springer (2017; Zbl 1374.14001) Full Text: DOI
Gauss, Falko; Hertling, Claus \(\mu\)-constant monodromy groups and Torelli results for marked singularities, for the unimodal and some bimodal singularities. (English) Zbl 1380.32029 Decker, Wolfram (ed.) et al., Singularities and computer algebra. Festschrift for Gert-Martin Greuel on the occasion of his 70th birthday. Based on the conference, Lambrecht (Pfalz), Germany, June 2015. Cham: Springer (ISBN 978-3-319-28828-4/hbk; 978-3-319-28829-1/ebook). 109-146 (2017). Reviewer: Jan Stevens (Göteborg) MSC: 32S15 32S40 14D20 PDFBibTeX XMLCite \textit{F. Gauss} and \textit{C. Hertling}, in: Singularities and computer algebra. Festschrift for Gert-Martin Greuel on the occasion of his 70th birthday. Based on the conference, Lambrecht (Pfalz), Germany, June 2015. Cham: Springer. 109--146 (2017; Zbl 1380.32029) Full Text: DOI arXiv
Hertling, Claus (ed.); Sabbah, Claude (ed.); Sevenheck, Christian (ed.) Mirror symmetry, Hodge theory and differential equations. Abstracts from the workshop held April 19–25, 2015. (English) Zbl 1380.00091 Oberwolfach Rep. 12, No. 2, 1201-1254 (2015). MSC: 00B05 00B25 14J33 32S40 14D07 34Mxx 53D45 14-06 14N35 14C30 PDFBibTeX XMLCite \textit{C. Hertling} (ed.) et al., Oberwolfach Rep. 12, No. 2, 1201--1254 (2015; Zbl 1380.00091) Full Text: DOI
Dubrovin, Boris (ed.); Hertling, Claus (ed.); Strachan, Ian A. B. (ed.); Wendland, Katrin (ed.) Singularity theory and integrable systems. Abstracts from the workshop held April 22–28, 2012. (English) Zbl 1349.00148 Oberwolfach Rep. 9, No. 2, 1361-1403 (2012). MSC: 00B05 00B25 14-06 32-06 58-06 14B05 32Sxx 37Kxx 58K99 PDFBibTeX XMLCite \textit{B. Dubrovin} (ed.) et al., Oberwolfach Rep. 9, No. 2, 1361--1403 (2012; Zbl 1349.00148) Full Text: DOI
Hertling, Claus; Kurbel, Ralf On the classification of quasihomogeneous singularities. (English) Zbl 1292.32013 J. Singul. 4, 131-153 (2012). MSC: 32S25 14J17 58K40 14B05 PDFBibTeX XMLCite \textit{C. Hertling} and \textit{R. Kurbel}, J. Singul. 4, 131--153 (2012; Zbl 1292.32013) Full Text: DOI arXiv
Hertling, Claus \(\mu\)-constant monodromy groups and marked singularities. (Groupe de monodromie \(\mu\)-constant et singularités marquées.) (English. French summary) Zbl 1279.32021 Ann. Inst. Fourier 61, No. 7, 2643-2680 (2011). Reviewer: Gerhard Pfister (Kaiserslautern) MSC: 32S15 32S40 14D22 58K70 PDFBibTeX XMLCite \textit{C. Hertling}, Ann. Inst. Fourier 61, No. 7, 2643--2680 (2011; Zbl 1279.32021) Full Text: DOI arXiv
Hertling, Claus; Sabbah, Claude Examples of non-commutative Hodge structures. (English) Zbl 1246.14019 J. Inst. Math. Jussieu 10, No. 3, 635-674 (2011). Reviewer: Alexandru Dimca (Nice) MSC: 14D07 34M40 PDFBibTeX XMLCite \textit{C. Hertling} and \textit{C. Sabbah}, J. Inst. Math. Jussieu 10, No. 3, 635--674 (2011; Zbl 1246.14019) Full Text: DOI arXiv
Hertling, Claus; Sevenheck, Christian Limits of families of Brieskorn lattices and compactified classifying spaces. (English) Zbl 1190.14011 Adv. Math. 223, No. 4, 1155-1224 (2010). Reviewer: Alexandru Dimca (Nice) MSC: 14D07 53C07 32S40 34M35 PDFBibTeX XMLCite \textit{C. Hertling} and \textit{C. Sevenheck}, Adv. Math. 223, No. 4, 1155--1224 (2010; Zbl 1190.14011) Full Text: DOI arXiv
Hertling, Claus; Manin, Yuri I.; Teleman, Constantin An update on semisimple quantum cohomology and \(F\)-manifolds. (English) Zbl 1312.14128 Proc. Steklov Inst. Math. 264, 62-69 (2009) and Tr. Mat. Inst. Steklova 264, 69-76 (2009). MSC: 14N35 14C30 53D45 32S30 PDFBibTeX XMLCite \textit{C. Hertling} et al., Proc. Steklov Inst. Math. 264, 62--69 (2009; Zbl 1312.14128) Full Text: DOI arXiv
Hertling, Claus; Sevenheck, Christian Twistor structures, \(tt^*\)-geometry and singularity theory. (English) Zbl 1151.14304 Donagi, Ron Y. (ed.) et al., From Hodge theory to integrability and TQFT tt*-geometry. International workshop From TQFT to tt* and integrability, Augsburg, Germany, May 25–29, 2007. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4430-4/hbk). Proceedings of Symposia in Pure Mathematics 78, 49-73 (2008). MSC: 14D07 32S30 32S40 53C07 32G20 PDFBibTeX XMLCite \textit{C. Hertling} and \textit{C. Sevenheck}, Proc. Symp. Pure Math. 78, 49--73 (2008; Zbl 1151.14304) Full Text: arXiv
Hertling, Claus; Sevenheck, Christian Curvature of classifying spaces for Brieskorn lattices. (English) Zbl 1160.14005 J. Geom. Phys. 58, No. 11, 1591-1606 (2008). Reviewer: Min Ho Lee (Cedar Falls) MSC: 14D07 32S30 PDFBibTeX XMLCite \textit{C. Hertling} and \textit{C. Sevenheck}, J. Geom. Phys. 58, No. 11, 1591--1606 (2008; Zbl 1160.14005) Full Text: DOI arXiv
Hertling, Claus; Sevenheck, Christian Nilpotent orbits of a generalization of Hodge structures. (English) Zbl 1136.32011 J. Reine Angew. Math. 609, 23-80 (2007). Reviewer: P. E. Newstead (Liverpool) MSC: 32S35 14C30 14D07 32G20 32J25 53C28 53D45 81T60 PDFBibTeX XMLCite \textit{C. Hertling} and \textit{C. Sevenheck}, J. Reine Angew. Math. 609, 23--80 (2007; Zbl 1136.32011) Full Text: DOI arXiv
Hertling, Claus \(tt^*\) geometry and mixed Hodge structures. (English) Zbl 1127.14300 Izumiya, Shyuichi (ed.) et al., Singularity theory and its applications. Papers from the 12th MSJ International Research Institute of the Mathematical Society of Japan, Sapporo, Japan, September 16–25, 2003. Tokyo: Mathematical Society of Japan (ISBN 978-4-931469-32-7/hbk). Advanced Studies in Pure Mathematics 43, 73-84 (2006). MSC: 14D07 32S35 32S30 32J25 14C30 PDFBibTeX XMLCite \textit{C. Hertling}, Adv. Stud. Pure Math. 43, 73--84 (2006; Zbl 1127.14300)
Hertling, Claus; Manin, Yuri Unfoldings of meromorphic connections and a construction of Frobenius manifolds. (English) Zbl 1101.32013 Hertling, Claus (ed.) et al., Frobenius manifolds. Quantum cohomology and singularities. Proceedings of the workshop, Bonn, Germany, July 8–19, 2002. Wiesbaden: Vieweg (ISBN 3-528-03206-5/hbk ). Aspects of Mathematics E 36, 113-144 (2004). Reviewer: Augusto Nobile (Baton Rouge) MSC: 32Q99 53D45 32Q25 14D07 32S30 PDFBibTeX XMLCite \textit{C. Hertling} and \textit{Y. Manin}, in: Frobenius manifolds. Quantum cohomology and singularities. Proceedings of the workshop, Bonn, Germany, July 8--19, 2002. Wiesbaden: Vieweg. 113--144 (2004; Zbl 1101.32013) Full Text: arXiv
Hertling, Claus (ed.); Marcolli, Matilde (ed.) Frobenius manifolds. Quantum cohomology and singularities. Proceedings of the workshop, Bonn, Germany, July 8–19, 2002. (English) Zbl 1062.14001 Aspects of Mathematics E 36. Wiesbaden: Vieweg (ISBN 3-528-03206-5/hbk ). xii, 378 p. (2004). MSC: 14-06 53-06 32-06 00B15 14N35 53D45 32S40 14B05 PDFBibTeX XMLCite \textit{C. Hertling} (ed.) and \textit{M. Marcolli} (ed.), Frobenius manifolds. Quantum cohomology and singularities. Proceedings of the workshop, Bonn, Germany, July 8--19, 2002. Wiesbaden: Vieweg (2004; Zbl 1062.14001)
Hertling, Claus Frobenius manifolds and hypersurface singularities. (English) Zbl 1080.14050 Mond, David (ed.) et al., Real and complex singularities. Papers from the 6th workshop, São Carlos, Brazil, July 17–21, 2000. New York, NY: Marcel Dekker (ISBN 0-8247-4091-2/pbk). Lecture Notes in Pure and Applied Mathematics 232, 304-326 (2003). Reviewer: Gerhard Pfister (Kaiserslautern) MSC: 14J70 14J17 14B05 PDFBibTeX XMLCite \textit{C. Hertling}, Lect. Notes Pure Appl. Math. 232, 304--326 (2003; Zbl 1080.14050)
Hertling, Claus Generic Torelli for semiquasihomogeneous singularities. (English) Zbl 1025.32025 Libgober, Anatoly (ed.) et al., Trends in singularities. Basel: Birkhäuser. Trends in Mathematics. 115-140 (2002). Reviewer: Augusto Nobile (Baton Rouge) MSC: 32S25 32S10 32S35 34M35 14B05 PDFBibTeX XMLCite \textit{C. Hertling}, in: Trends in singularities. Basel: Birkhäuser. 115--140 (2002; Zbl 1025.32025)
Hertling, Claus Frobenius manifolds and moduli spaces for singularities. (English) Zbl 1023.14018 Cambridge Tracts in Mathematics. 151. Cambridge: Cambridge University Press. ix, 270 p. £45.00; $ 60.00 (2002). Reviewer: Gerhard Pfister (Kaiserslautern) MSC: 14J60 14-02 32-02 14J17 14B05 PDFBibTeX XMLCite \textit{C. Hertling}, Frobenius manifolds and moduli spaces for singularities. Cambridge: Cambridge University Press (2002; Zbl 1023.14018)
Esnault, Hélène; Hertling, Claus Semistable bundles on curves and reducible representations of the fundamental group. (English) Zbl 1079.14515 Int. J. Math. 12, No. 7, 847-855 (2001). MSC: 14H60 14F35 PDFBibTeX XMLCite \textit{H. Esnault} and \textit{C. Hertling}, Int. J. Math. 12, No. 7, 847--855 (2001; Zbl 1079.14515) Full Text: DOI arXiv
Hertling, Claus Classifying spaces for polarized mixed Hodge structures and for Brieskorn lattices. (English) Zbl 0922.32019 Compos. Math. 116, No. 1, 1-37 (1999). Reviewer: A.G.Aleksandrov (Moskva) MSC: 32S35 32S25 32G05 14D07 14C34 PDFBibTeX XMLCite \textit{C. Hertling}, Compos. Math. 116, No. 1, 1--37 (1999; Zbl 0922.32019) Full Text: DOI
Hertling, Claus Brieskorn lattices and Torelli type theorems for cubics in \(\mathbb{P}^3\) and for Brieskorn-Pham singularities with coprime exponents. (English) Zbl 0915.14023 Arnold, V. I. (ed.) et al., Singularities. The Brieskorn anniversary volume. Proceedings of the conference dedicated to Egbert Brieskorn on his 60th birthday, Oberwolfach, Germany, July 1996. Basel: Birkhäuser. Prog. Math. 162, 167-194 (1998). Reviewer: Deqi Zhang (Singapore) MSC: 14J17 14D07 14B05 PDFBibTeX XMLCite \textit{C. Hertling}, Prog. Math. 162, 167--194 (1998; Zbl 0915.14023)
Greuel, Gert-Martin; Hertling, Claus; Pfister, Gerhard Moduli spaces of semiquasihomogeneous singularities with fixed principal part. (English) Zbl 0877.14010 J. Algebr. Geom. 6, No. 1, 169-199 (1997). Reviewer: M.Morales (Saint-Martin-d’Heres) MSC: 14D22 14B05 14J10 14J15 14J70 32S25 14J17 PDFBibTeX XMLCite \textit{G.-M. Greuel} et al., J. Algebr. Geom. 6, No. 1, 169--199 (1997; Zbl 0877.14010) Full Text: arXiv
Hertling, Claus Analytic invariants for unimodular and bimodular hypersurface singularities. (Analytische Invarianten bei den unimodularen und bimodularen Hyperflächensingularitäten.) (German) Zbl 0833.32006 Bonner Mathematische Schriften. 250. Bonn: Univ. Bonn, 186 S. (1993). Reviewer: G.Pfister (Kaiserslautern) MSC: 32S25 32S55 32-02 14J70 PDFBibTeX XMLCite \textit{C. Hertling}, Analytische Invarianten bei den unimodularen und bimodularen Hyperflächensingularitäten. Bonn: Univ. Bonn (1993; Zbl 0833.32006)