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arXiv · 1804.07960

Some examples of non-smoothable Gorenstein Fano toric threefolds

Andrea Petracci
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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.

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Andrea Petracci. 2018-04-21. Some examples of non-smoothable Gorenstein Fano toric threefolds. https://doi.org/10.1007/s00209-019-02369-8

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