I will review some recent results about the Noether-Lefschetz problem for surfaces in normal 3-folds, in particular, about the density of the components of maximal codimension of the Noether-Lefschetz locus, and about the characterization of components of low codimension. I will also describe an application to the Hodge conjecture for hypersurfaces in toric varieties.

Noether-Lefschetz components for toric varieties

Giovanna Ilardi
2019

Abstract

I will review some recent results about the Noether-Lefschetz problem for surfaces in normal 3-folds, in particular, about the density of the components of maximal codimension of the Noether-Lefschetz locus, and about the characterization of components of low codimension. I will also describe an application to the Hodge conjecture for hypersurfaces in toric varieties.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11588/745464
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