Linear free divisors and Frobenius manifolds

DOI10.1112/S0010437X09004217zbMath1238.32022arXiv0802.4188MaRDI QIDQ3642516

Ignacio De Gregorio, Christian Sevenheck, D. M. Q. Mond

Publication date: 5 November 2009

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0802.4188

zbMATH Keywords

Frobenius manifoldslinear free divisorsGauß-Manin system

Mathematics Subject Classification ID

Monodromy; relations with differential equations and (D)-modules (complex-analytic aspects) (32S40) Deformations of singularities (14B07) Deformation of singularities (58K60)

Related Items

Hodge ideals of free divisors ⋮ Normal crossing properties of complex hypersurfaces via logarithmic residues ⋮ Local cohomology of logarithmic forms ⋮ The small quantum cohomology of a weighted projective space, a mirror \(D\)-module and their classical limits ⋮ Duality of Gauß-Manin systems associated to linear free divisors ⋮ Bernstein polynomials and spectral numbers for linear free divisors ⋮ On the symmetry of \(b\)-functions of linear free divisors ⋮ Deformations of free and linear free divisors ⋮ Tautological systems and free divisors ⋮ Examples of Hypergeometric twistor \(\mathcal{D}\)-modules ⋮ Logarithmic Frobenius manifolds, hypergeometric systems and quantum 𝒟-modules ⋮ IRREGULAR HODGE FILTRATION OF SOME CONFLUENT HYPERGEOMETRIC SYSTEMS

Uses Software

• SINGULAR

Cites Work

• The quantum orbifold cohomology of weighted projective spaces
• Some examples of non-massive Frobenius manifolds in singularity theory
• Linear free divisors and the global logarithmic comparison theorem
• On the structure of Brieskorn lattice
• Milnor numbers and the topology of polynomial hypersurfaces
• Gauss-Manin systems, Brieskorn lattices and Frobenius structures. I.
• Stokes matrices and monodromy of the quantum cohomology of projective spaces
• Semicontinuity of the spectrum at infinity
• Stability of \(C^ \infty\) mappings. IV: Classification of stable germs by R-algebras
• Cohomology of Lie algebras
• ON THE LEGACY OF FREE DIVISORS III: FUNCTIONS AND DIVISORS ON COMPLETE INTERSECTIONS
• A classification of irreducible prehomogeneous vector spaces and their relative invariants
• Orbifold quantum cohomology of weighted projective spaces
• A construction of Frobenius manifolds with logarithmic poles and applications

This page was built for publication: Linear free divisors and Frobenius manifolds