A differential analogue of the wild automorphism conjecture

Jason Bell; Colin Ingalls; Rahim Moosa; Matthew Satriano

A differential analogue of the wild automorphism conjecture

Algebraic Geometry 2022-11-07 v1 Logic Rings and Algebras

Authors: Jason Bell , Colin Ingalls , Rahim Moosa , Matthew Satriano

Abstract

A differential analogue of the conjecture of Reichstein, Rogalski, and Zhang in algebraic dynamics is here established: if $X$ is a projective variety over an algebraically closed field of characteristic zero which admits a global algebraic vector field $v:X\to TX$ such that $(X,v)$ has no proper invariant subvarieties then $X$ is an abelian variety. Vector fields on abelian varieties with this property are also examined.

Keywords

differential analogue wild automorphism conjecture algebraic vector field invariant subvariety abelian variety algebraic dynamics

Cite

@article{arxiv.2211.02122,
  title  = {A differential analogue of the wild automorphism conjecture},
  author = {Jason Bell and Colin Ingalls and Rahim Moosa and Matthew Satriano},
  journal= {arXiv preprint arXiv:2211.02122},
  year   = {2022}
}

Comments

7 pages

A differential analogue of the wild automorphism conjecture

Abstract

Keywords

Cite

Comments

Related papers