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Generically Flexible Varieties with an Invariant Divisor

Year: 2026

Type: preprint

Abstract: In this paper, we construct a series of smooth affine varieties of dimension $n \geqslant 3$ that are generically flexible but not flexible. Moreover, these varieties admit a nontrivial divisor invariant under the subgroup of special automorphisms.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.05344

Author: Nikitina, Alina

Institution: National Research University Higher School of Economics

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7220739167

Cites: 3

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Related to: 10