Pure and Applied Mathematics Quarterly
Volume 18 (2022)
Special issue celebrating the work of Herb Clemens
Guest Editor: Ron Donagi
Even sets of nodes and Gauss genus theory
Pages: 1355 – 1363
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.
2010 Mathematics Subject Classification
Primary 14J17. Secondary 11R11, 11R29.
Received 24 March 2021
Accepted 28 June 2021
Published 25 October 2022