Search Results - "Hertling, Claus"

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  1. 1

    The combinatorics of weight systems and characteristic polynomials of isolated quasihomogeneous singularities by Hertling, Claus, Mase, Makiko

    Published in Journal of algebraic combinatorics (01-11-2022)
    “…A paper of the first author and Zilke proposed seven combinatorial problems around formulas for the characteristic polynomial and the exponents of an isolated…”
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    Journal Article
  2. 2

    3-dimensional F-manifolds by Basalaev, Alexey, Hertling, Claus

    Published in Letters in mathematical physics (01-08-2021)
    “…F -manifolds are complex manifolds with a multiplication with unit on the holomorphic tangent bundle with a certain integrability condition. Here, the local…”
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    Journal Article
  3. 3

    (T)-structures over two-dimensional F-manifolds: formal classification by David, Liana, Hertling, Claus

    Published in Annali di matematica pura ed applicata (01-06-2020)
    “…A ( TE )-structure ∇ over a complex manifold M is a meromorphic connection defined on a holomorphic vector bundle over C × M , with poles of Poincaré rank one…”
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    Journal Article
  4. 4

    Seven combinatorial problems around isolated quasihomogeneous singularities by Hertling, Claus, Zilke, Philip

    Published in Journal of algebraic combinatorics (01-12-2019)
    “…This paper proposes seven combinatorial problems around formulas for the characteristic polynomial and the spectral numbers of an isolated quasihomogeneous…”
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    Journal Article
  5. 5

    Conjectures on Spectral Numbers for Upper Triangular Matrices and for Singularities by Balnojan, Sven, Hertling, Claus

    “…Cecotti and Vafa proposed in 1993 a beautiful idea how to associate spectral numbers α 1 , ... , α n ∈ ℝ to real upper triangular n × n matrices S with 1’s on…”
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  6. 6

    Limits of families of Brieskorn lattices and compactified classifying spaces by Hertling, Claus, Sevenheck, Christian

    Published in Advances in mathematics (New York. 1965) (01-03-2010)
    “…We investigate variations of Brieskorn lattices over non-compact parameter spaces, and discuss the corresponding limit objects on the boundary divisor. We…”
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  7. 7
  8. 8

    Real Seifert Forms and Polarizing Forms of Steenbrink Mixed Hodge Structures by Balnojan, Sven, Hertling, Claus

    “…An isolated hypersurface singularity comes equipped with many different pairings on different spaces, the intersection form and the Seifert form on the Milnor…”
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  9. 9

    Algebraic curves and foliations by Camacho, César, Movasati, Hossein, Hertling, Claus

    “…Consider a field k${\mathsf {k}}$ of characteristic 0$\hskip.001pt 0$, not necessarily algebraically closed, and a fixed algebraic curve f=0$f=0$ defined by a…”
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  10. 10

    Hermitian metrics on F-manifolds by David, Liana, Hertling, Claus

    Published in Journal of geometry and physics (01-09-2016)
    “…An F-manifold is complex manifold with a multiplication on the holomorphic tangent bundle, which satisfies a certain integrability condition. Important…”
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  11. 11
  12. 12

    Bilinear forms and hermitian forms for singularities: a survey by Hertling, Claus

    Published 19-11-2020
    “…Singularit\'es (ed. D. Barlet), Institut \'Elie Cartan Nancy 18, 2005, 1-17 The paper collects different approaches and viewpoints on bilinear forms and…”
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  13. 13

    Rank 2 Bundles with Meromorphic Connections with Poles of Poincar\'e Rank 1 by Hertling, Claus

    Published 29-09-2020
    “…SIGMA 17 (2021), 082, 73 pages Holomorphic vector bundles on $\mathbb C\times M$, $M$ a complex manifold, with meromorphic connections with poles of Poincar\'e…”
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  14. 14

    The combinatorics of weight systems and characteristic polynomials of isolated quasihomogeneous singularities by Hertling, Claus, Mase, Makiko

    Published 04-08-2021
    “…A paper of the first author and Zilke proposed seven combinatorial problems around formulas for the characteristic polynomial and the exponents of an isolated…”
    Get full text
    Journal Article
  15. 15

    Automorphisms with eigenvalues in $S^1$ of a ${\mathbb Z}$-lattice with cyclic finite monodromy by Hertling, Claus

    Published 24-01-2018
    “…For any finite set $M\subset {\mathbb Z}_{\geq 1}$ of positive integers, there is up to isomorphism a unique ${\mathbb Z}$-lattice $H_M$ with a cyclic…”
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    Journal Article
  16. 16

    3-dimensional F-manifolds by Basalaev, Alexey, Hertling, Claus

    Published 21-12-2020
    “…F-manifolds are complex manifolds with a multiplication with unit on the holomorphic tangent bundle with a certain integrability condition. Here the local…”
    Get full text
    Journal Article
  17. 17

    An update on semisimple quantum cohomology and F-manifolds by Hertling, Claus, Manin, Yuri I., Teleman, Constantin

    “…In the first section of this note, we show that Theorem 1.8.1 of Bayer-Manin can be strengthened in the following way: If the even quantum cohomology of a…”
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  18. 18

    The integral monodromy of isolated quasihomogeneous singularities by Hertling, Claus, Mase, Makiko

    Published 17-09-2020
    “…Alg. Number Th. 16 (2022) 955-1024 The integral monodromy on the Milnor lattice of an isolated quasihomogeneous singularity is subject of an almost untouched…”
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  19. 19

    The integral monodromy of the cycle type singularities by Hertling, Claus, Mase, Makiko

    Published 16-09-2020
    “…The middle homology of the Milnor fiber of a quasihomogeneous polynomial with an isolated singularity is a ${\mathbb Z}$-lattice and comes equipped with an…”
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  20. 20

    (TE)-structures over the irreducible 2-dimensional globally nilpotent F-manifold germ by David, Liana, Hertling, Claus

    Published 04-01-2020
    “…We find formal and holomorphic normal forms for a class of meromorphic connections (the so-called $(TE)$-structures) over the irreducible $2$-dimensional…”
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