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Licensed Unlicensed Requires Authentication Published by De Gruyter November 26, 2006

Vanishing of principal value integrals on surfaces

  • Willem Veys EMAIL logo

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.

Received: 2005-04-28
Revised: 2005-07-18
Published Online: 2006-11-26
Published in Print: 2006-09-01

© Walter de Gruyter

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