2011/03/18 by Michele Bolognesi, Bolognesi, Michele, Marcello Bernardara +1
Computer Science · Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation #math.AG
paper · pdf · doi:10.48550/arxiv.1103.3591
arxiv created 2011/03/18 · openalex publication_date 2011/03/18 · arxiv updated 2011/03/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.