The local motivic monodromy conjecture for simplicial nondegenerate singularities
Abstract
We prove the local motivic monodromy conjecture for singularities that are nondegenerate with respect to a simplicial Newton polyhedron. It follows that all poles of the local topological zeta functions of such singularities correspond to eigenvalues of monodromy acting on the cohomology of the Milnor fiber of some nearby point, as do the poles of Igusa’s local p p -adic zeta functions for large primes p p .
Fields of Study & Subjects
Algebraic Geometry and Number Theory
Commutative Algebra and Its Applications
Advanced Mathematical Identities
Publication details
- Journal / source
- Communications of the American Mathematical Society
- Publisher
- American Mathematical Society (AMS)
- Volume
- 6
- Issue
- 8
- Pages
- 424–491
- Publication date
- 23 April 2026
- Language
- EN