Work

Generic Triviality of Linear Automorphisms of Complete Intersections

Year: 2026
Type: preprint
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.
Language: English
Open Access status: green
OpenAlex ID: W7213396546
Cites: 6
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Related to: 10