Arithmetic and topology of classical structures associated to plane quartics
Algebraic Geometry
2021-06-25 v1 Algebraic Topology
Number Theory
Abstract
We consider moduli spaces of plane quartics marked with various structures such as Cayley octads, Aronhold heptads, Steiner complexes and G\"opel subsets and determine their cohomology. This answers a series of questions of Jesse Wolfson. We also explore some arithmetic applications over finite fields.
Cite
@article{arxiv.2106.13072,
title = {Arithmetic and topology of classical structures associated to plane quartics},
author = {Olof Bergvall},
journal= {arXiv preprint arXiv:2106.13072},
year = {2021}
}
Comments
21 pages, 2 figures, 5 tables. Comments are welcome!