On the logarithmic terms in the asymptotic expansion of integrals

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1. Verfasser: Hennings, Achim
Format: Preprint
Veröffentlicht: 2026
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author Hennings, Achim
author_facet Hennings, Achim
contents We consider integrals over vanishing cycles in the Milnor fibration of an isolated singularity defined by a Newton non-degenerate function. We single out a condition where the leading logarithmic term of the expansion of the integral into a logarithmic sum can be determined exactly.
format Preprint
id arxiv_https___arxiv_org_abs_2602_06233
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle On the logarithmic terms in the asymptotic expansion of integrals
Hennings, Achim
Algebraic Geometry
Complex Variables
We consider integrals over vanishing cycles in the Milnor fibration of an isolated singularity defined by a Newton non-degenerate function. We single out a condition where the leading logarithmic term of the expansion of the integral into a logarithmic sum can be determined exactly.
title On the logarithmic terms in the asymptotic expansion of integrals
topic Algebraic Geometry
Complex Variables
url https://arxiv.org/abs/2602.06233