We prove that any embedding of a GV-subscheme in a principally polarized abelian variety does not factor through any nontrivial isogeny. As an application, we present a new proof of a theorem of Clemens-Griffiths identifying the intermediate Jacobian of a smooth cubic threefold to the Albanese variety of its Fano surface of lines.
GV-subschemes and their embeddings in principally polarized abelian varieties / L. Lombardi, S. Tirabassi. - In: MATHEMATISCHE NACHRICHTEN. - ISSN 0025-584X. - 288:11-12(2015 Aug), pp. 1405-1412. [10.1002/mana.201400238]
GV-subschemes and their embeddings in principally polarized abelian varieties
L. Lombardi
Primo
;
2015
Abstract
We prove that any embedding of a GV-subscheme in a principally polarized abelian variety does not factor through any nontrivial isogeny. As an application, we present a new proof of a theorem of Clemens-Griffiths identifying the intermediate Jacobian of a smooth cubic threefold to the Albanese variety of its Fano surface of lines.File in questo prodotto:
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