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- W4289105312 abstract "In this paper we study the infinitesimal deformations of a trigonal curve that preserve the trigonal series and such that the associate infinitesimal variation of Hodge structure (IVHS) is of rank 1. We show that if the genus g is greater or equal to 8 or g=6,7 and the curve is Maroni general, this locus is zero dimensional. Moreover, we complete a result of Naranjo and Pirola. We show in fact that if the genus g is greater or equal to 6, the hyperelliptic locus is the only 2g-1-dimensional sub-locus Y of the moduli space of curves of genus g, such that for the general element [C] in Y, its Jacobian J(C) is dominated by a hyperelliptic Jacobian of genus g' greater or equal to g." @default.
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- W4289105312 date "2018-12-21" @default.
- W4289105312 modified "2023-09-23" @default.
- W4289105312 title "Trigonal deformations of rank one and Jacobians" @default.
- W4289105312 doi "https://doi.org/10.48550/arxiv.1812.09248" @default.
- W4289105312 hasPublicationYear "2018" @default.
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