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Title: Zeta Functions and Monodromy for Surfaces that are General for a Toric Idealistic Cluster
Authors: Lemahieu, Ann ×
Veys, Willem #
Issue Date: 2009
Publisher: Duke University Press
Series Title: International Mathematics Research Notices vol:1 pages:11-62
Abstract: In this article, we consider surfaces that are general with respect to a three-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.
ISSN: 1073-7928
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Algebra Section
× corresponding author
# (joint) last author

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