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arXiv · 1911.02187

The infinitesimal Torelli problem

Aaron Landesman
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Abstract

Let $g \geq 2$ and let the Torelli map denote the map sending a genus $g$ curve to its principally polarized Jacobian. We verify the well known fact that the map induced on tangent spaces by the Torelli map is dual to the multiplication map $\mathrm{Sym}^2 H^0(C, \omega_C) \rightarrow H^0(C, \omega_C^{\otimes 2})$.

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Aaron Landesman. 2019-11-06. The infinitesimal Torelli problem. https://arxiv.org/abs/1911.02187

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