English

On Beauville Structures for PSL(2,q)

Group Theory 2013-07-26 v3 Algebraic Geometry

Abstract

We characterize Beauville surfaces of unmixed type with group either PSL(2,p^e) or PGL(2,p^e), thus extending previous results of Bauer, Catanese and Grunewald, Fuertes and Jones, and Penegini and the author.

Cite

@article{arxiv.1003.2792,
  title  = {On Beauville Structures for PSL(2,q)},
  author = {Shelly Garion},
  journal= {arXiv preprint arXiv:1003.2792},
  year   = {2013}
}

Comments

v3: 28 pages, minor changes (especially in the introduction) v2: 27 pages, the main result was extended, some explanations and many examples were added

R2 v1 2026-06-21T14:57:42.843Z