Wild ramification determines the characteristic cycle

TL;DR

This paper establishes that the wild ramification of constructible complexes uniquely determines their characteristic cycle, regardless of differences in coefficient field characteristics.

Contribution

It introduces the concept that wild ramification fully determines the characteristic cycle of constructible complexes, a novel insight in algebraic geometry.

Findings

Wild ramification determines characteristic cycles.

Constructible complexes with same wild ramification share characteristic cycles.

Characteristic cycle invariance under different coefficient field characteristics.

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.