Ramification and nearby cycles for l-adic sheaves on relative curves

Abstract

Deligne and Kato proved a formula computing the dimension of the nearby cycles complex of an l-adic sheaf on a relative curve over an excellent strictly henselian trait. In this article, we reprove this formula using Abbes-Saito's ramification theory.

36 pages

References in corpus (2)

• Wild ramification and the characteristic cycle of an l-adic sheaf
• Local Fourier transform and epsilon factors

Cited by in corpus (1)

• Characteristic cycle and the Euler number of a constructible sheaf on a surface