Existence and density of general components of the Noether-Lefschetz locus on normal threefolds
Algebraic Geometry
2021-10-12 v5
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.
Keywords
Cite
@article{arxiv.1706.02081,
title = {Existence and density of general components of the Noether-Lefschetz locus on normal threefolds},
author = {Ugo Bruzzo and Antonella Grassi and Angelo Felice Lopez},
journal= {arXiv preprint arXiv:1706.02081},
year = {2021}
}
Comments
14 pages. v2: 13 pages, exposition improved. v3: misprint corrected. v4: results strengthened; added section with examples; typos corrected; v5: added Rmk.2.6; more minor revisions