Automorphisms of odd dimensional $(2,2)$-complete intersections in characteristic $2$

Yang Zhang

Automorphisms of odd dimensional $(2,2)$-complete intersections in characteristic $2$

Algebraic Geometry 2026-01-09 v2

Authors: Yang Zhang

Abstract

We compute the automorphism scheme of a generic odd dimensional $(2,2)$ -complete intersection in characteristic $2$ . This is the only case for complete intersections having a non-trivial identity component in automorphism schemes apart from quadric hypersurfaces and genus $1$ curves.

Keywords

intersection theory intersection theory on moduli spaces automorphism groups

Cite

@article{arxiv.2601.04109,
  title  = {Automorphisms of odd dimensional $(2,2)$-complete intersections in characteristic $2$},
  author = {Yang Zhang},
  journal= {arXiv preprint arXiv:2601.04109},
  year   = {2026}
}

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