An explicit formula for period determinant
Copyright policy )An explicit formula for period determinant
We consider a generic complex polynomial in two variables and a basis in the first homology group of a nonsingular level curve. We take an arbitrary tuple of homogeneous polynomial 1-forms of appropriate degrees so that their integrals over the basic cycles form a square matrix (of multivalued analytic functions of the level value). We give an explicit formula for the determinant of this matrix.
period matrices, Analytic theory of abelian varieties; abelian integrals and differentials, Global theory of complex singularities; cohomological properties, Deformations of complex singularities; vanishing cycles, Abelian integrals, monodromy, Period matrices, variation of Hodge structure; degenerations, vanishing cycles, Structure of families (Picard-Lefschetz, monodromy, etc.), Invariants of analytic local rings
period matrices, Analytic theory of abelian varieties; abelian integrals and differentials, Global theory of complex singularities; cohomological properties, Deformations of complex singularities; vanishing cycles, Abelian integrals, monodromy, Period matrices, variation of Hodge structure; degenerations, vanishing cycles, Structure of families (Picard-Lefschetz, monodromy, etc.), Invariants of analytic local rings
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