Diviseur Theta et Formes Differentielles

TL;DR

This paper investigates the geometric and arithmetic properties of the theta divisor linked to locally exact differential forms on curves in positive characteristic, providing a strengthened main result from previous work.

Contribution

It introduces a stronger version of the main theorem concerning the theta divisor in the context of positive characteristic curves.

Findings

Proved a stronger theorem about the theta divisor.

Enhanced understanding of differential forms in positive characteristic.

Established new geometric and arithmetic properties.

Abstract

In this papers, we study the geometric and arithmetic properties of the theta divisor associated to the sheaf of locally exact differential forms over a curve in positive characteristic. In this published version, we prove a stronger version of the main result of chapiter 5.