Lagrangian interpretation of Abel-Jacobi mappings associated to Fano threefolds
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915484031516672 |
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| author | Aguilar, Rodolfo Green, Mark Griffiths, Phillip |
| author_facet | Aguilar, Rodolfo Green, Mark Griffiths, Phillip |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_06197 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Lagrangian interpretation of Abel-Jacobi mappings associated to Fano threefolds Aguilar, Rodolfo Green, Mark Griffiths, Phillip Algebraic Geometry 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. |
| title | Lagrangian interpretation of Abel-Jacobi mappings associated to Fano threefolds |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2509.06197 |