Vanishing of principal value integrals on surfaces

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

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Algebraic Geometry, 14J26 (11S80; 14E15; 28B99; 14F17)

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http://salesiana.dossiersoluciones.com/handle/123456789/111510

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0604221
 http://arxiv.org/abs/math/0604221

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arXiv