In this note we survey recent results on the extrinsic geometry of the Jacobian locus inside A g . We describe the second fundamental form of the Torelli map as a multiplication map, recall the relation between totally geodesic subvarieties and Hodge loci and survey various results related to totally geodesic subvarieties and the Jacobian locus.
On some differential-geometric aspects of the Torelli map
Ghigi, Alessandro
2018-01-01
Abstract
In this note we survey recent results on the extrinsic geometry of the Jacobian locus inside A g . We describe the second fundamental form of the Torelli map as a multiplication map, recall the relation between totally geodesic subvarieties and Hodge loci and survey various results related to totally geodesic subvarieties and the Jacobian locus.File in questo prodotto:
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