Vanishing of principal value integrals on surfaces

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Publication:3413798

DOI10.1515/CRELLE.2006.072zbMATH Open1106.14010arXivmath/0604221OpenAlexW2129363918MaRDI QIDQ3413798

Author name not available (Why is that?)

Publication date: 18 December 2006

Published in: (Search for Journal in Brave)

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.


Full work available at URL: https://arxiv.org/abs/math/0604221



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