Arithmetic and topology of classical structures associated to plane quartics
arXiv:2106.13072
Abstract
We consider moduli spaces of plane quartics marked with various structures such as Cayley octads, Aronhold heptads, Steiner complexes and Göpel subsets and determine their cohomology. This answers a series of questions of Jesse Wolfson. We also explore some arithmetic applications over finite fields.
21 pages, 2 figures, 5 tables. Comments are welcome!