Some examples of non-smoothable Gorenstein Fano toric threefolds
Algebraic Geometry
2021-09-02 v2
Abstract
We present a combinatorial criterion on reflexive polytopes of dimension 3 which gives a local-to-global obstruction for the smoothability of the corresponding Fano toric threefolds. As a result, we show examples of singular Gorenstein Fano toric threefolds which have compound Du Val, hence smoothable, singularities but are not smoothable.
Keywords
Cite
@article{arxiv.1804.07960,
title = {Some examples of non-smoothable Gorenstein Fano toric threefolds},
author = {Andrea Petracci},
journal= {arXiv preprint arXiv:1804.07960},
year = {2021}
}
Comments
11 pages, 2 figures