✦ LIBER ✦
Bounded decomposition in the Brieskorn lattice and Pfaffian Picard–Fuchs systems for Abelian integrals
✍ Scribed by Sergei Yakovenko
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- French
- Weight
- 178 KB
- Volume
- 126
- Category
- Article
- ISSN
- 0007-4497
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✦ Synopsis
We suggest an algorithm for derivation of the Picard-Puchs 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.