We study the second Gaussian map for a curve X of genus g, in relation with the second fundamental form of the period map. We exhibit a class of infinitely many curves with surjective second Gaussian map. We compute its rank on the hyperelliptic and trigonal locus and show global generation of its image for X not hyperelliptic nor trigonal.
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Titolo: | Some results on the second Gaussian map for curves |
Autori: | |
Data di pubblicazione: | 2009 |
Rivista: | |
Abstract: | We study the second Gaussian map for a curve X of genus g, in relation with the second fundamental form of the period map. We exhibit a class of infinitely many curves with surjective second Gaussian map. We compute its rank on the hyperelliptic and trigonal locus and show global generation of its image for X not hyperelliptic nor trigonal. |
Handle: | http://hdl.handle.net/11571/108183 |
Appare nelle tipologie: | 1.1 Articolo in rivista |
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