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Vanishing of principal value integrals on surfaces

Willem Veys
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Abstract

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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Willem Veys. 2006-04-10. Vanishing of principal value integrals on surfaces. https://arxiv.org/abs/math/0604221

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