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arXiv · 1706.02081

Existence and density of general components of the Noether-Lefschetz locus on normal threefolds

Ugo Bruzzo·Antonella Grassi·Angelo Felice Lopez
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Abstract

We consider the Noether-Lefschetz problem for surfaces in Q-factorial normal 3-folds with rational singularities. We show the existence of components of the Noether-Lefschetz locus of maximal codimension, and that there are indeed infinitely many of them. Moreover, we show that their union is dense in the natural topology.

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Ugo Bruzzo, Antonella Grassi, Angelo Felice Lopez. 2017-06-07. Existence and density of general components of the Noether-Lefschetz locus on normal threefolds. https://arxiv.org/abs/1706.02081

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