Totally Geodesic Subvarieties of the Moduli Space of Curves and Linear Systems

Author:

Benirschke Frederik1

Affiliation:

1. University of Chicago Department of Mathematics, , Chicago, IL 60637 , USA

Abstract

Abstract We construct a linear system on a general curve in a totally geodesic subvariety of the moduli space of curves. As a consequence, one obtains rank bounds for totally geodesic subvarieties of dimension at least two. Furthermore, this leads to a classification of totally geodesic subvarieties of dimension at least two in strata with at most two zeros.

Publisher

Oxford University Press (OUP)

Reference13 articles.

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4. Maximal gonality on strata of differentials and uniruledness of strata in low genus;Bud,2020

5. Isometric embeddings of Teichmüller spaces are covering constructions;Benirschke

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