Hilbert Schemes and Toric Degenerations for Low Degree Fano Threefolds
Algebraic Geometry
2019-11-26 v3
Abstract
For fixed degree , we study the Hilbert scheme of degree smooth Fano threefolds in their anticanonical embeddings. We use this to classify all possible degenerations of these varieties to toric Fano varieties with at most canonical Gorenstein singularities.
Keywords
Cite
@article{arxiv.1202.0510,
title = {Hilbert Schemes and Toric Degenerations for Low Degree Fano Threefolds},
author = {Jan Arthur Christophersen and Nathan Owen Ilten},
journal= {arXiv preprint arXiv:1202.0510},
year = {2019}
}
Comments
24 pages, 2 figures; v2 simplified exposition by using rolling factors format where applicable; v3 further revisions to exposition, changed title