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arXiv:2106.13072 [math.AG]AbstractReferencesReviewsResources

Arithmetic and topology of classical structures associated to plane quartics

Olof Bergvall

Published 2021-06-24Version 1

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.

Comments: 21 pages, 2 figures, 5 tables. Comments are welcome!
Categories: math.AG, math.AT, math.NT
Subjects: 14H10, 14D22, 14D10, 11G20, 11G25
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