# nLab slope of a coherent sheaf

Contents

topos theory

## Theorems

#### Homological algebra

homological algebra

Introduction

diagram chasing

# Contents

## Definition

A rational number associated with a coherent sheaf $E$ over a curve: the degree divided by the rank:

$\mu(E) \;\coloneqq\; \frac{deg(E)}{rank(E)} \,.$

For vector bundles: “normalized Chern character” (Shatz 77)

This is what enters the condition on stable coherent sheaves.

## References

Last revised on October 3, 2018 at 10:49:12. See the history of this page for a list of all contributions to it.