Lagrangian interpretation of Abel-Jacobi mappings associated to Fano threefolds
Abstract
Using the general framework due to Donagi–Markman [4] and Markushevich [7] 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 [4] and [7]. It may be applied to give new proofs of a number of classical results about these varieties.
2020 Mathematics Subject Classification:
14J28, 14J45, 14K30, 14H70Keywords
Abel-Jacobi, Fano threefolds, K3 surface
Author Details
Rodolfo Aguilar
Department of Mathematics
University of Miami
Coral Gables, FL 33146, USA
e-mail: aaguilar.rodolfo@gmail.com
Mark Green
Department of Mathematics
University of California at Los Angeles
Los Angeles, CA 90095, USA
e-mail: mlg@ipam.ucla.edu
Phillip Griffiths
Department of Mathematics
University of Miami
Coral Gables, FL 33146, USA
and
Institute for Advanced Study
Einstein Drive, Princeton, NJ 08540, USA
e-mail: pg@ias.edu
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