Vanishing of principal value integrals on surfaces
代数几何
2007-05-23 v1
摘要
Principal value integrals are associated to multi-valued rational differential forms with normal crossings support on a non-singular algebraic variety. We prove their vanishing on rational surfaces in the context of a conjecture of Denef-Jacobs. As an application we obtain a strong vanishing result for candidate poles of p-adic and motivic Igusa zeta functions.
引用
@article{arxiv.math/0604221,
title = {Vanishing of principal value integrals on surfaces},
author = {Willem Veys},
journal= {arXiv preprint arXiv:math/0604221},
year = {2007}
}
备注
20 pages, to appear in J. Reine Angew. Math