Notes on the characteristic cycle of a constructible sheaf

TL;DR

This paper investigates the properties of the characteristic cycle of constructible sheaves on smooth varieties, focusing on how it behaves under push-forward and product operations, contributing to the understanding of sheaf theory in algebraic geometry.

Contribution

It introduces new insights into the behavior of characteristic cycles of constructible complexes, particularly their properties under push-forward and product operations.

Findings

Characterizes how characteristic cycles transform under push-forward.

Analyzes the behavior of characteristic cycles under product operations.

Provides foundational results for further studies in sheaf theory.

Abstract

We study some properties of the characteristic cycle of a constructible complex on a smooth variety over a perfect field, push-forward and product.