Zeta Functions and Monodromy for Surfaces that are General for a Toric Idealistic Cluster
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Publication:5503791
DOI10.1093/IMRN/RNN122zbMATH Open1161.14017arXiv0802.2730OpenAlexW2000614937MaRDI QIDQ5503791
Author name not available (Why is that?)
Publication date: 20 January 2009
Published in: (Search for Journal in Brave)
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 up a toric constellation provides an embedded resolution of singularities for these surfaces. First we give a formula for the topological zeta function directly 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 third part we prove the monodromy and the holomorphy conjecture for these surfaces.
Full work available at URL: https://arxiv.org/abs/0802.2730
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