Equivariant intermediate Jacobians and intersections of two quadrics

Fuente: arXiv
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1. Verfasser: Scavia, Federico
Format: Preprint
Veröffentlicht: 2026
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author Scavia, Federico
author_facet Scavia, Federico
contents We present a short proof of the following theorem of Hassett and Tschinkel: for every finite group $G$, a $G$-equivariant smooth complete intersection of two quadrics in $\mathbb{P}^5_{\mathbb{C}}$ is projectively $G$-linear if and only if it contains a $G$-invariant line.
format Preprint
id arxiv_https___arxiv_org_abs_2605_03890
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Equivariant intermediate Jacobians and intersections of two quadrics
Scavia, Federico
Algebraic Geometry
14E08 (Primary) 14M20, 14J50, 14K30, 20J06 (Secondary)
We present a short proof of the following theorem of Hassett and Tschinkel: for every finite group $G$, a $G$-equivariant smooth complete intersection of two quadrics in $\mathbb{P}^5_{\mathbb{C}}$ is projectively $G$-linear if and only if it contains a $G$-invariant line.
title Equivariant intermediate Jacobians and intersections of two quadrics
topic Algebraic Geometry
14E08 (Primary) 14M20, 14J50, 14K30, 20J06 (Secondary)
url https://arxiv.org/abs/2605.03890