On automorphisms of flexible varieties

TL;DR

This paper investigates conditions under which isomorphisms of one-dimensional subschemes of flexible varieties can be extended to automorphisms of the entire variety, advancing understanding of their symmetry properties.

Contribution

The authors develop new criteria for extending isomorphisms of subschemes to automorphisms in flexible varieties, enhancing the theory of their automorphism groups.

Findings

Criteria for extension of subscheme isomorphisms to automorphisms

Conditions ensuring automorphism extension in flexible varieties

Enhanced understanding of symmetry structures in flexible varieties

Abstract

Let X be a flexible variety of F be an isomorphism of closed one-dimensional subschemes of $X$. We develop criteria which guarantee that F extends to au automorphism of X.