PreprintarXiv licencearXiv
Generic Triviality of Linear Automorphisms of Complete Intersections
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.
Related
- PAC fields and difference fields with generic automorphisms
- K-stability and birational rigidity of Fano 3-fold weighted complete intersections
- Existence of weak Landau-Ginzburg models for weighted complete intersections
- Some Remarks on Regular Sequences and Complete Intersections
- Enumerative geometry of conics and double covers on projective complete intersections
BibTeX
@misc{cui2026generic,
title = {{Generic Triviality of Linear Automorphisms of Complete Intersections}},
author = {Zhaoning Cui},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.17050},
eprint = {2609.17050},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.17050},
}
RIS
TY - UNPB
TI - Generic Triviality of Linear Automorphisms of Complete Intersections
AU - Zhaoning Cui
PY - 2026
DA - 2026/09/15
PB - arXiv
DO - 10.48550/arxiv.2609.17050
UR - https://arxiv.org/abs/2609.17050
AB - 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.
ER -