Positivity of divisor classes on the strata of differentials

TL;DR

This paper extends a classical positivity result from stable curves to families of stable differentials, providing new insights into the geometry of differentials on algebraic curves.

Contribution

It establishes a positivity result for divisor classes related to families of stable differentials, analogous to the known result for stable curves.

Findings

Positivity of divisor classes for families of stable differentials

Extension of classical results from stable curves to differentials

New tools for studying the geometry of differentials on algebraic curves

Abstract

Three decades ago Cornalba-Harris proved a fundamental positivity result for divisor classes associated to families of stable curves. In this paper we establish an analogous positivity result for divisor classes associated to families of stable differentials.