Generically flexible affine varieties with invariant divisors

We construct examples of normal affine varieties X of dimension greater than or equal to 4 such that the group of special automorphisms SAut(X) acts on X with an open orbit O and the complement XØhas codimension one.

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Publication Details

Journal
ArXiv.org
Published
2025-07-19
Primary Topic
Algebraic Geometry and Number Theory
Type
article
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article

Generically flexible affine varieties with invariant divisors

Sergey Gaifullin
ArXiv.org
Algebraic Geometry and Number Theory
article

Generically flexible affine varieties with invariant divisors

Sergey Gaifullin
article en

Abstract

We construct examples of normal affine varieties X of dimension greater than or equal to 4 such that the group of special automorphisms SAut(X) acts on X with an open orbit O and the complement XØhas codimension one.

ArXiv.org
Openalex Percentile: Top 55%
Algebraic Geometry and Number Theory
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