Showing a limited preview of this publication:
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