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Ruled Exceptional Surfaces and the Poles of Motivic Zeta Functions
- Source :
- Canadian Journal of Mathematics. 59:1098-1120
- Publication Year :
- 2007
- Publisher :
- Canadian Mathematical Society, 2007.
-
Abstract
- In this paper we study ruled surfaces which appear as exceptional surface in a succession of blowing-ups. In particular we prove that the e-invariant of such a ruled exceptional surface E is strictly positive whenever its intersection with the other exceptional surfaces does not contain a fiber (of E). This fact immediately enables us to resolve an open problem concerning an intersection configuration on such a ruled exceptional surface consisting of three nonintersecting sections. In the second part of the paper we apply the non-vanishing of e to the study of the poles of the well-known topological, Hodge and motivic zeta functions.
Details
- ISSN :
- 14964279 and 0008414X
- Volume :
- 59
- Database :
- OpenAIRE
- Journal :
- Canadian Journal of Mathematics
- Accession number :
- edsair.doi.dedup.....8c548a07d10beb9b1030f93d1a0d7d97