Quintic threefolds with triple points
Algebraic Geometry
2019-11-13 v1
Abstract
We study the geometry of quintic threefolds with only ordinary triple points as singularities. In particular, we show that if a quintic threefold has a reducible hyperplane section then has at most ordinary triple points, and that this bound is sharp. We construct various examples of quintic threefolds with triple points and discuss their defect.
Keywords
Cite
@article{arxiv.1712.05710,
title = {Quintic threefolds with triple points},
author = {Remke Kloosterman and Slawomir Rams},
journal= {arXiv preprint arXiv:1712.05710},
year = {2019}
}