Wild ramification determines the characteristic cycle

Abstract

Constructible complexes have the same characteristic cycle if they have the same wild ramification, even if the characteristics of the coefficients fields are different.

arXiv comment14 pages. The definition of having the same wild ramification is modified in v2

References in corpus (1)

• Constructible sheaves are holonomic

Cited by in corpus (4)

• Compatible systems and ramification
• Characteristic Epsilon Cycles of $\ell$-adic Sheaves on Varieties
• Wild ramification, the nearby cycle complexes, and the characteristic cycles of $\ell$-adic sheaves
• Compatible systems of $\ell$-adic sheaves