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Even sets of nodes and Gauss genus theory

Algebraic Geometry 2021-08-31 v2

Abstract

We observe that a lemma used in the study of even sets of nodes on surfaces applies almost verbatim to prove a celebrated formula of Gauss on the 2-torsion of the class group of a quadratic field.

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Cite

@article{arxiv.2106.15667,
  title  = {Even sets of nodes and Gauss genus theory},
  author = {Arnaud Beauville},
  journal= {arXiv preprint arXiv:2106.15667},
  year   = {2021}
}

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