Mirror symmetry and smoothing Gorenstein toric affine 3-folds
File(s)Main_Corti_Filip_Petracci.pdf (599.15 KB)
Accepted version
Author(s)
Corti, Alessio
Filip, Matej
Petracci, Andrea
Type
Chapter
Abstract
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.
Editor(s)
Aluffi, Paolo
Anderson, David
Hering, Milena
Mustata, Mircea
Payne, Sam
Date Issued
2022-03
Citation
Facets of Algebraic Geometry: A Collection in Honor of William Fulton's 80th Birthday, 2022, 1, pp.132-163
Publisher
Cambridge University Press
Start Page
132
End Page
163
Journal / Book Title
Facets of Algebraic Geometry: A Collection in Honor of William Fulton's 80th Birthday
Volume
1
Copyright Statement
© 2022 The Author(s). This chapter has been published in a revised form in https://doi.org/10.1017/9781108877831. This version is free to view and download for private research and study only. Not for re-distribution, re-sale or use in derivative works.
Sponsor
Engineering & Physical Science Research Council (EPSRC)
Identifier
https://www.cambridge.org/core/books/facets-of-algebraic-geometry/77027B8A726E20FF86A04BE60F37DA9F
Grant Number
EP/N03189X/1
Publication Status
Published
Date Publish Online
2022-03