Nearby cycles and composition with a non-degenerate polynomial

Abstract

We compute the motivic nearby cycles of functions obtained by composition with a polynomial which is non-degenerate with respect to its Newton polyhedron. Our result involves new convolution operators and generalized nearby cycles.

13 pages

References in corpus (2)

• Motivic Igusa zeta functions
• Iterated vanishing cycles, convolution, and a motivic analogue of a conjecture of Steenbrink