English

Full Degree Two del Pezzo Surfaces over Small Finite Fields

Algebraic Geometry 2016-04-12 v2

Abstract

Hirschfeld classified split del Pezzo surfaces of degree at least three whose points are all contained on the lines in the surface. We continue his work and begin the classification of split degree two del Pezzo surfaces over finite fields whose points are all on the fifty-six exceptional curves of the surfaces.

Keywords

Cite

@article{arxiv.1510.04621,
  title  = {Full Degree Two del Pezzo Surfaces over Small Finite Fields},
  author = {Amanda Knecht and Kristofer Reyes},
  journal= {arXiv preprint arXiv:1510.04621},
  year   = {2016}
}

Comments

15 pages, 5 figures, stronger results than original post

R2 v1 2026-06-22T11:21:30.376Z