Equivariant unirationality of Fano threefolds

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arxiv 2502.19598 v1 pith:NL3QSAEH submitted 2025-02-26 math.AG

Ivan Cheltsov , Yuri Tschinkel , Zhijia Zhang This is my paper · ORCID

classification math.AG

keywords fanothreefoldsunirationalityactionsequivariantfinitegroups

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We study unirationality of actions of finite groups on Fano threefolds.

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Equivariant unirationality of toric varieties
math.AG 2025-06 accept novelty 7.0 of 10

For smooth projective toric varieties with a finite group action preserving the dense torus, equivariant unirationality is equivalent to the vanishing of the equivariant universal torsor obstruction class ∂(1_Pic(X)).