Work

Isolated torus invariants and automorphism groups of rigid varieties

Year: 2024

Type: article

Abstract: Perepechko and Zaidenberg conjectured that the neutral component of the automorphism group of a rigid affine variety is a torus. We prove this conjecture for toric varieties and varieties with a torus action of complexity one. We also obtain a criterion for an m -suspension over a rigid variety to be rigid (for every rigid variety and every regular function). Additionally, we study the automorphism group of m -suspensions satisfying this criterion.

Source: Journal of Algebra

DOI: 10.1016/j.jalgebra.2024.12.009

Authors: Viktoriia Borovik, Sergey Gaifullin

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,140

Funder: Russian Science Foundation

Award: G5846989363