Aller-retour vers l'inseparable

TL;DR

This paper constructs inseparable morphisms between algebraic curves of genus at least 2, showing they can be viewed as degenerations of separable morphisms, thus advancing understanding of morphism degenerations in algebraic geometry.

Contribution

It introduces a method to construct inseparable morphisms as degenerations of separable ones between high-genus curves.

Findings

Inseparable morphisms can be obtained as degenerations of separable morphisms.

The construction applies to curves of genus ≥ 2.

Provides new insights into morphism degenerations in algebraic geometry.

Abstract

We construct inseparable morphisms between curves of genus $\ge 2$ that are degenerations of separable morphisms.