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Generically Flexible Varieties with an Invariant Divisor
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.
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BibTeX
@misc{nikitina2026generically,
title = {{Generically Flexible Varieties with an Invariant Divisor}},
author = {Alina Nikitina},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.05344},
eprint = {2610.05344},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.05344},
}
RIS
TY - UNPB
TI - Generically Flexible Varieties with an Invariant Divisor
AU - Alina Nikitina
PY - 2026
DA - 2026/10/04
PB - arXiv
DO - 10.48550/arxiv.2610.05344
UR - https://arxiv.org/abs/2610.05344
AB - 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.
ER -