Extensions Of Unirational Groups
Algebraic Geometry
2026-01-27 v3
Abstract
We undertake a study of extensions of unirational algebraic groups. We prove that extensions of unirational groups are also unirational over fields of degree of imperfection , but that this fails over every field of higher degree of imperfection, answering a question of Achet. We also initiate a study of those groups which admit filtrations with unirational graded pieces, and show that one may deduce unirationality of unipotent groups from unirationality of certain quotients.
Keywords
Cite
@article{arxiv.2510.00391,
title = {Extensions Of Unirational Groups},
author = {Zev Rosengarten},
journal= {arXiv preprint arXiv:2510.00391},
year = {2026}
}
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26 pages