Search Results - "Hertling, Claus"
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1
The combinatorics of weight systems and characteristic polynomials of isolated quasihomogeneous singularities
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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2
3-dimensional F-manifolds
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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3
(T)-structures over two-dimensional F-manifolds: formal classification
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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4
Seven combinatorial problems around isolated quasihomogeneous singularities
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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5
Conjectures on Spectral Numbers for Upper Triangular Matrices and for Singularities
Published in Mathematical physics, analysis, and geometry (01-03-2020)“…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
Limits of families of Brieskorn lattices and compactified classifying spaces
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
Rank 2 Bundles with Meromorphic Connections with Poles of Poincaré Rank 1
Published in Symmetry, integrability and geometry, methods and applications (01-01-2021)Get full text
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8
Real Seifert Forms and Polarizing Forms of Steenbrink Mixed Hodge Structures
Published in Boletim da Sociedade Brasileira de Matemática (12-03-2019)“…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
Algebraic curves and foliations
Published in The Bulletin of the London Mathematical Society (01-02-2023)“…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
Hermitian metrics on F-manifolds
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
mu -constant monodromy groups and marked singularities
Published in Annales de l'Institut Fourier (2011)Get full text
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12
Bilinear forms and hermitian forms for singularities: a survey
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
Rank 2 Bundles with Meromorphic Connections with Poles of Poincar\'e Rank 1
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
The combinatorics of weight systems and characteristic polynomials of isolated quasihomogeneous singularities
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…”
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15
Automorphisms with eigenvalues in $S^1$ of a ${\mathbb Z}$-lattice with cyclic finite monodromy
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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16
3-dimensional F-manifolds
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…”
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17
An update on semisimple quantum cohomology and F-manifolds
Published in Proceedings of the Steklov Institute of Mathematics (01-04-2009)“…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
The integral monodromy of isolated quasihomogeneous singularities
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
The integral monodromy of the cycle type singularities
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
(TE)-structures over the irreducible 2-dimensional globally nilpotent F-manifold germ
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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