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Generic Triviality of Linear Automorphisms of Complete Intersections

Zhaoning Cui

Source record

Source: arXiv

Published: Sep 15, 2026

arXiv: 2609.17050

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Source 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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