Complete Abelian integrals for polynomials whose generic fiber is biholomorphic to C*

Salomón Rebollo-Perdomo

    Research output: Contribution to journalArticleResearchpeer-review

    1 Citation (Scopus)

    Abstract

    Let H be a polynomial of degree m+. 1 on C2 such that its generic fiber is biholomorphic to C*, and let ω be an arbitrary polynomial 1-form of degree n on C2. We give an upper bound depending only on m and n for the number of isolated zeros of the complete Abelian integral defined by H and ω. © 2012 Elsevier Ltd.
    Original languageEnglish
    Pages (from-to)562-570
    JournalJournal of Mathematical Analysis and Applications
    Volume394
    Issue number2
    DOIs
    Publication statusPublished - 15 Oct 2012

    Keywords

    • Abelian integrals
    • Weak Hilbert's 16th problem

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