Vanishing of principal value integrals on surfaces

Details Vanishing of principal value integrals on surfaces Vanishing of principal value integrals on surfaces

2006-04-10

arxiv.org/abs/math/0604221v1

Mathematics

Algebraic Geometry

20 pages, to appear in J. Reine Angew. Math

Scientific paper

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.

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