On the logarithmic terms in the asymptotic expansion of integrals
Abstract
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.
Fields of Study & Subjects
Algebraic Geometry and Number Theory
Mathematical and Theoretical Analysis
Commutative Algebra and Its Applications
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 5 February 2026
- Document type
- Preprint