A bound on the dimension of a totally geodesic submanifold in the Prym locus

• Autores: Elisabetta Colombo, Paola Frediani
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 70, Fasc. 1, 2019, págs. 51-57
• Idioma: inglés
• DOI: 10.1007/s13348-018-0215-0
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• Resumen

  • We give an upper bound for the dimension of a germ of a totally geodesic submanifold, and hence of a Shimura variety of ?−1 , contained in the Prym locus. First we give such a bound for a germ passing through a Prym variety of a k-gonal curve in terms of the gonality k. Then we deduce a bound only depending on the genus g.