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arXiv · 2106.13072

Arithmetic and topology of classical structures associated to plane quartics

Olof Bergvall
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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.

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Olof Bergvall. 2021-06-24. Arithmetic and topology of classical structures associated to plane quartics. https://arxiv.org/abs/2106.13072

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