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Mirror Symmetry and smoothing Gorenstein toric affine 3-folds

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arxiv 2006.16885 v2 pith:WOCDYUS6 submitted 2020-06-30 math.AG

Alessio Corti , Matej Filip , Andrea Petracci This is my paper · ORCID
classification math.AG
keywords affineconjecturesgorensteinmirrorpolynomialssmoothingsymmetrytoric
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We state two conjectures that together allow one to describe the set of smoothing components of a Gorenstein toric affine 3-fold in terms of a combinatorially defined and easily studied set of Laurent polynomials called 0-mutable polynomials. We explain the origin of the conjectures in mirror symmetry and present some of the evidence.

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  1. Smoothing toroidal crossing spaces

    math.AG 2019-08 conditional novelty 8.0 of 10

    A proof that toroidal crossing spaces with a simple logarithmic section and a transverse anticanonical divisor admit smoothings, together with a proof of Danilov's Hodge-de Rham degeneration conjecture.

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