Bounded decomposition in the Brieskorn lattice and Pfaffian Picard--Fuchs systems for Abelian integrals

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dc.creatorYakovenko, S.
dc.date2002-01-14
dc.date.accessioned2026-07-07T04:45:50Z
dc.date.available2026-07-07T04:45:50Z
dc.descriptionWe suggest an algorithm for derivation of the Picard--Fuchs system of Pfaffian equations for Abelian integrals corresponding to semiquasihomogeneous Hamiltonians. It is based on an effective decomposition of polynomial forms in the Brieskorn lattice. The construction allows for an explicit upper bound on the norms of the polynomial coefficients, an important ingredient in studying zeros of these integrals.
dc.description17 pages in LaTeX2e
dc.identifierhttps://arxiv.org/abs/math/0201114
dc.identifierhttp://arxiv.org/abs/math/0201114
dc.identifierBull. Sci. Mathématiques 126 (2002), issue 7, 535-554
dc.identifierdoi:10.1016/S0007-4497(02)01126-0
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63107
dc.subjectDynamical Systems
dc.subjectAlgebraic Geometry
dc.subjectPrimary 34C08; Secondary 34M50, 32S20, 32S40
dc.titleBounded decomposition in the Brieskorn lattice and Pfaffian Picard--Fuchs systems for Abelian integrals
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