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arXiv · 1809.06315

On some differential-geometric aspects of the Torelli map

Alessandro Ghigi
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Abstract

In this note we survey recent results on the extrinsic geometry of the Jacobian locus inside $\mathsf{A}_g$. 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.

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Alessandro Ghigi. 2018-09-17. On some differential-geometric aspects of the Torelli map. https://arxiv.org/abs/1809.06315

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