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.

Existence and Density of General Components of the Noether–Lefschetz Locus on Normal Threefolds / Bruzzo, Ugo; Grassi, Antonella; Lopez, Angelo Felice. - In: INTERNATIONAL MATHEMATICS RESEARCH NOTICES. - ISSN 1073-7928. - 2021:17(2021), pp. 13416-13433. [10.1093/imrn/rnz358]

Existence and Density of General Components of the Noether–Lefschetz Locus on Normal Threefolds

Bruzzo, Ugo;
2021-01-01

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.
2021
2021
17
13416
13433
10.1093/imrn/rnz358
https://arxiv.org/abs/1706.02081
Bruzzo, Ugo; Grassi, Antonella; Lopez, Angelo Felice
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/117020
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