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Chapitre D'ouvrage Année : 2013

Categorical representability and intermediate Jacobians of Fano threefolds

Résumé

We define, basing upon semiorthogonal decompositions of $\Db(X)$, categorical representability of a projective variety $X$ and describe its relation with classical representabilities of the Chow ring. For complex threefolds satisfying both classical and categorical representability assumptions, we reconstruct the intermediate Jacobian from the semiorthogonal decomposition. We discuss finally how categorical representability can give useful information on the birational properties of $X$ by providing examples and stating open questions.
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Dates et versions

hal-00578006 , version 1 (18-03-2011)

Identifiants

Citer

Marcello Bernardara, Michele Bolognesi. Categorical representability and intermediate Jacobians of Fano threefolds. Yujiro kawamata. Derived categories in algebraic geometry, European Mathematical Society, pp.1-25, 2013, EMS series of Congress Reports, 978-3-03719-115-6. ⟨10.4171/115-1/1⟩. ⟨hal-00578006⟩
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