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MONODROMY PROBLEM AND TANGENTIAL CENTER-FOCUS PROBLEM FOR PRODUCTS OF LINES IN GENERAL POSITION IN P2

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Autor(es):
Garcia, Daniel Lopez
Número total de Autores: 1
Tipo de documento: Artigo Científico
Fonte: MOSCOW MATHEMATICAL JOURNAL; v. 24, n. 2, p. 19-pg., 2024-04-01.
Resumo

We consider a rational map F defined by a quotient of products of lines in general position and we study the monodromy problem and the tangential center-focus problem for the fibration associated with F. Thus, we study the submodule of the 1-homology group of a regular fiber of F generated by the orbit of the monodromy action on a vanishing cycle. Moreover, we characterize the meromorphic 1-forms omega in P-2 such that the Abelian integral integral(delta t) omega vanishes on a family of cycles delta(t) around a center singularity. (AU)

Processo FAPESP: 22/04705-8 - Geometria de Poisson e fibrações de Lefschetz
Beneficiário:Daniel Felipe López Garcia
Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado