Additive actions on projective surfaces with a finite number of orbits
Abstract
An additive action on an algebraic variety is an effective action of the vector group with an open orbit. We describe du Val projective surfaces that admit an additive action with a finite number of orbits. In particular, we provide examples of projective surfaces admitting 1-parameter families of pairwise non-isomorphic additive actions, thereby answering a question by Hassett and Tschinkel.
Fields of Study & Subjects
Algebraic Geometry and Number Theory
Advanced Algebra and Geometry
Geometry and complex manifolds
Publication details
- Journal / source
- International Journal of Algebra and Computation
- Pages
- 1–17
- Publication date
- 14 May 2026
- Language
- EN