On the proper push-forward of the characteristic cycle of a constructible sheaf

TL;DR

This paper investigates how the characteristic cycle of a constructible sheaf behaves under proper push-forward operations on smooth varieties over perfect fields.

Contribution

It establishes the compatibility of characteristic cycles with proper push-forward, clarifying their behavior in algebraic geometry.

Findings

Proves the compatibility of characteristic cycles with proper push-forward.

Provides a theoretical framework for understanding characteristic cycles in algebraic geometry.

Enhances the understanding of constructible sheaves and their characteristic cycles.

Abstract

We study the compatibility with proper push-forward of the characteristic cycles of a constructible complex on a smooth variety over a perfect field.