Lagrangian interpretation of Abel-Jacobi mappings associated to Fano threefolds
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.
Authors
- Rodolfo Aguilar (ORCID: https://orcid.org/0000-0003-4557-6559)
- Mark Green (ORCID: https://orcid.org/0000-0002-0942-6628)
- Phillip Griffiths
Institutions
- University of Miami (US)
- University of California, Los Angeles (US)
- Institute for Advanced Study (US)
Publication Details
- Journal
- Serdica Mathematical Journal
- Published
- 2025-10-14
- DOI
- https://doi.org/10.55630/serdica.2025.51.73-88
- Primary Topic
- Geometry and complex manifolds
- Type
- article
- Field-Weighted Citation Impact
- 0.00