Lagrangian interpretation of Abel-Jacobi mappings associated to Fano threefolds
Abstract
Using the general framework due to Donagi-Markman DM and Markushevich 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 DM and M. It may be applied to give new proofs of a number of classical results about these varieties.
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