Smoothings from zero mutable Laurent polynomials via log resolutions and divisorial extractions
Year: 2025
Type: preprint
Abstract: A conjecture by Corti, Filip and Petracci, inspired by mirror symmetry, states that smoothing types of affine Gorenstein toric 3-folds correspond to zero mutable Laurent polynomials. We propose a method to prove this conjecture via log crepant log resolutions constructed from compatible collections of divisorial extractions. For affine cones over weighted projective planes we prove for several infinite families of zero mutable Laurent polynomials that they indeed describe curves that admit a compatible collection of divisorial extractions. The construction of log crepant log resolutions and smoothings will be worked out in joint work with Alessio Corti and Helge Ruddat.
Source: arXiv (Cornell University)
Author: Gräfnitz, Tim
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6929320576
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