Unexpected hypersurfaces with multiple fat points
Algebraic Geometry
2019-10-01 v2 Commutative Algebra
Abstract
Starting with the ground-breaking work of Cook II, Harbourne, Migliore and Nagel, there has been a lot of interest in unexpected hypersurfaces. In the last couple of months a considerable number of new examples and new phenomena has been observed and reported on. All examples studied so far had just one fat point. In this note we introduce a new series of examples, which establishes for the first time the existence of unexpected hypersurfaces with multiple fat points. The key underlying idea is to study Fermat-type configurations of points in projective spaces.
Keywords
Cite
@article{arxiv.1812.04032,
title = {Unexpected hypersurfaces with multiple fat points},
author = {Justyna Szpond},
journal= {arXiv preprint arXiv:1812.04032},
year = {2019}
}
Comments
10 pages, comments welcome