We prove that for certain projective varieties (e.g. smooth complete intersections in the projective space), there are only finitely many components of the Hilbert scheme parametrizing irreducible, smooth, projective subvarieties of low codimension and not of general type. We give similar results concerning subvarieties with globally generated tangent bundle.

Ciliberto, C., DI GENNARO, V. (2004). Boundedness for low codimensional subvarieties.. In V. Popov (a cura di), Algebraic Transformation Groups and Algebraic Varieties (pp. 9-14). Springer.

Boundedness for low codimensional subvarieties.

CILIBERTO, CIRO;DI GENNARO, VINCENZO
2004

Abstract

We prove that for certain projective varieties (e.g. smooth complete intersections in the projective space), there are only finitely many components of the Hilbert scheme parametrizing irreducible, smooth, projective subvarieties of low codimension and not of general type. We give similar results concerning subvarieties with globally generated tangent bundle.
Settore MAT/03 - Geometria
English
Rilevanza internazionale
Capitolo o saggio
Low codimensional subvarieties, Hilbert scheme, varieties not of general type, abelian subvarieties, Chern class
http://www.springer.com/mathematics/algebra/book/978-3-642-05875-2
Ciliberto, C., DI GENNARO, V. (2004). Boundedness for low codimensional subvarieties.. In V. Popov (a cura di), Algebraic Transformation Groups and Algebraic Varieties (pp. 9-14). Springer.
Ciliberto, C; DI GENNARO, V
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/31838
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