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Categorical representability and intermediate Jacobians of Fano threefolds
Michele Bolognesi, Marcello Bernardara
We define, basing upon semiorthogonal decompositions of $\Db(X)$, categorical representability of a projective variety and describe its relation with classical representabiliti…
Fourier-Mukai transforms of curves and principal polarizations
Marcello Bernardara
Given a Fourier-Mukai transform between the bounded derived categories of two smooth projective curves, we verifiy that the induced map between the Jacobian varieties preserves…
A semiorthogonal decomposition for Brauer Severi schemes
Marcello Bernardara
A semiorthogonal decomposition for the bounded derived category (the category of perfect complexes in a non smooth case) of coherent sheaves on a Brauer Severi scheme is given. It…
Calabi-Yau complete intersections with infinitely many lines
Marcello Bernardara
We give two new examples of families of Calabi-Yau complete intersection threefolds whose generic element contains infinitely many lines. We get some results about the normal bundl…