English

On Gizatullin's Problem for quartic surfaces of Picard rank $2$

Algebraic Geometry 2025-05-06 v3

Abstract

In this paper we determine which automorphisms of general smooth quartic surfaces SP3S\subset \mathbb{P}^3 of Picard rank 22 are restrictions of Cremona transformations of P3\mathbb{P}^3.

Keywords

Cite

@article{arxiv.2410.08415,
  title  = {On Gizatullin's Problem for quartic surfaces of Picard rank $2$},
  author = {Carolina Araujo and Daniela Paiva and Sokratis Zikas},
  journal= {arXiv preprint arXiv:2410.08415},
  year   = {2025}
}

Comments

final version, to appear in in Algebraic Geometry