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arXiv · 2609.17050

Generic Triviality of Linear Automorphisms of Complete Intersections

Zhaoning Cui
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Abstract

We prove that a general smooth complete intersection of positive dimension and codimension at least 2 over an algebraically closed field has trivial linear automorphism group, except in the case of two quadrics. The proof uses incidence varieties and treats separately prime-to-characteristic and unipotent automorphisms.

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Zhaoning Cui. 2026-09-15. Generic Triviality of Linear Automorphisms of Complete Intersections. https://arxiv.org/abs/2609.17050

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