Arithmetic statistics on cubic surfaces
Algebraic Geometry
2020-04-06 v2 Number Theory
Abstract
In this paper we compute the distributions of various markings on smooth cubic surfaces defined over the finite field , for example the distribution of pairs of points, `tritangents' or `double sixes'. We also compute the (rational) cohomology of certain associated bundles and covers over complex numbers.
Cite
@article{arxiv.2002.11183,
title = {Arithmetic statistics on cubic surfaces},
author = {Ronno Das},
journal= {arXiv preprint arXiv:2002.11183},
year = {2020}
}
Comments
Replaced to correct Theorem 2.3; 13 pages, 7 tables