On some geometric constructions related to theta characteristics. (English) Zbl 1072.14032

Gross, Benedict H.; Harris, Joe

Hida, Haruzo (ed.) et al., Contributions to automorphic forms, geometry, and number theory. Papers from the conference in honor of Joseph Shalika on the occasion of his 60th birthday, Johns Hopkins University, Baltimore, MD, USA, May 14–17, 2002. Baltimore, MD: Johns Hopkins University Press (ISBN 0-8018-7860-8/hbk). 279-311 (2004).

The authors study some classical geometric constructions on curves of genus 2 and 3 by using the theory of theta characteristics and quadratic forms over the field of two elements.
For the entire collection see [Zbl 1051.11005].

Reviewer: Xu Fei (Beijing)

MSC:

14H40	Jacobians, Prym varieties
11E04	Quadratic forms over general fields

Keywords:

quadratic forms over characteristic 2