Ramification of Compatible Systems on Curves and Independence of $\ell$

TL;DR

This paper proves that specific ramification invariants for compatible systems of dic sheaves on curves do not depend on the prime ll, establishing a key independence result in algebraic geometry.

Contribution

It demonstrates the independence of ramification invariants from ll for compatible systems on curves, advancing understanding of dic sheaves and their ramification behavior.

Findings

Ramification invariants are independent of ll.

Supports the conjecture of dic independence in algebraic geometry.

Provides new tools for studying dic sheaves on curves.

Abstract

We show that certain ramification invariants associated to a compatible system of $\ell$-adic sheaves on a curve are independent of $\ell$.