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 an example of a singular Gorenstein Fano toric threefold which has compound Du Val, hence smoothable, singularities but is not smoothable.
Petracci A. (2020). Some examples of non-smoothable Gorenstein Fano toric threefolds. MATHEMATISCHE ZEITSCHRIFT, 295(1-2), 751-760 [10.1007/s00209-019-02369-8].
Some examples of non-smoothable Gorenstein Fano toric threefolds
Petracci A.
2020
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 an example of a singular Gorenstein Fano toric threefold which has compound Du Val, hence smoothable, singularities but is not smoothable.File in questo prodotto:
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