English

Automorphisms and the canonical ideal

Algebraic Geometry 2019-09-24 v1 Commutative Algebra Number Theory

Abstract

The automorphism group of a curve is studied from the viewpoint of the canonical embedding and Petri's theorem. A criterion for identifying the automorphism group as an algebraic subgroup the general linear group is given. Furthermore the action of the automorphism group is extended to an action of the minimal free resolution of the canonical ring of the curve XX.

Keywords

Cite

@article{arxiv.1909.10282,
  title  = {Automorphisms and the canonical ideal},
  author = {Aristides Kontogeorgis and Alexios Terezakis and Ioannis Tsouknidas},
  journal= {arXiv preprint arXiv:1909.10282},
  year   = {2019}
}

Comments

16 pages

R2 v1 2026-06-23T11:23:04.268Z