Zeta functions and monodromy for surfaces that are general for a toric idealistic cluster - Mathematics > Algebraic GeometryReportar como inadecuado




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Abstract: In this article we consider surfaces that are general with respect to a 3-dimensional toric idealistic cluster. In particular, this means that blowing upa toric constellation provides an embedded resolution of singularities forthese surfaces. First we give a formula for the topological zeta functiondirectly in terms of the cluster. Then we study the eigenvalues of monodromy.In particular, we derive a useful criterion to be an eigenvalue. In a thirdpart we prove the monodromy and the holomorphy conjecture for these surfaces.



Autor: Ann Lemahieu, Willem Veys

Fuente: https://arxiv.org/







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