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Annali di Matematica Pura ed Applicata (1923 -)

, Volume 198, Issue 6, pp 2141–2150 | Cite as

Totally real theta characteristics

  • Mario KummerEmail author
Article

Abstract

A totally real theta characteristic of a real curve is a theta characteristic which is linearly equivalent to a sum of only real points. These are closely related to the facets of the convex hull of the canonical embedding of the curve. We give upper and lower bounds for the number of both of totally real theta characteristics and facets.

Keywords

Real algebraic curves Theta characteristics Convex algebraic geometry 

Mathematics Subject Classification

Primary 14P99 14H40 

Notes

Acknowledgements

I would like to thank all the participants of the “Tritangent Summit” that took place at the Max Planck Institute for Mathematics in the Sciences in Leipzig in January 2018. Furthermore, I want to thank the diligent referee who pointed out some inaccuracies and gaps and even helped to eliminate them.

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Copyright information

© Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Institut für MathematikTechnische Universität BerlinBerlinGermany

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