System of plane coordinates of the the versal deformation of simple isolated hypersurface singularities and zeros of the Abel integral
DOI10.1016/S0007-4497(01)01087-9zbMath1085.14005arXivmath/0408246OpenAlexW2152723693MaRDI QIDQ1599927
Publication date: 7 August 2002
Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0408246
Singularities in algebraic geometry (14B05) Analytic theory of abelian varieties; abelian integrals and differentials (14K20) Deformations of complex singularities; vanishing cycles (32S30) Monodromy; relations with differential equations and (D)-modules (complex-analytic aspects) (32S40) Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.) (34C08) Deformation of singularities (58K60) Asymptotic behavior of solutions to equations on manifolds (58K55)
Cites Work
- Expansion of the solutions of a Gauss-Manin system at a point of infinity
- Petrov modules and zeros of abelian integrals
- Monodromy of isolated singularities of hypersurfaces
- On a certain generator system of the ring of invariants of a finite reflection group
- An explicit bound for the multiplicity of zeros of generic Abelian integrals
- Complete Abelian integrals as rational envelopes
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