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arXiv · 2509.06197

Lagrangian interpretation of Abel-Jacobi mappings associated to Fano threefolds

Rodolfo Aguilar·Mark Green·Phillip Griffiths
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Abstract

Using the general framework due to Donagi-Markman \cite{DM} and Markushevich \cite{M} we shall derive an expression for the differential of Abel-Jacobi mappings on Fano threefolds. This formula involves information normal to the Lagrangian submanifolds constructed in \cite{DM} and \cite{M}. It may be applied to give new proofs of a number of classical results about these varieties.

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Rodolfo Aguilar, Mark Green, Phillip Griffiths. 2025-09-07. Lagrangian interpretation of Abel-Jacobi mappings associated to Fano threefolds. https://arxiv.org/abs/2509.06197

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