PreprintarXiv licencearXiv
Calabi-Yau Threefold Singularities and their Universal Quilts
Abstract
We introduce the notion of universal quilt for toric CY3 singularities and construct examples when the universal quilts are themselves smooth Calabi-Yau threefolds. Such quilts are designed to contain all of the crepant resolutions of the given singularity. To obtain universal quilts we implement an algorithm that computes all triangulations for any given planar polygon. We also introduce the notion of quilt stack, to address the question of finding the most likely smooth configuration preceding a given singularity.
Related
- An elliptic Calabi-Yau threefold of Mordell-Weil rank twelve
- Involution-equivariant topological recursion and mirror symmetry for the affine binary dihedral Calabi--Yau threefold
- Deformations of Compact Calabi--Yau and Fano Varieties with Isolated Singularities
- Chern scalar curvature and finite-time singularities of the conformal Chern--Calabi flow
- SPECTRUM OF SINGULARITIES, ANALYTIC TORSION AND CALABI-YAU DEGENERATIONS
BibTeX
@misc{gasparim2026calabiyau,
title = {{Calabi-Yau Threefold Singularities and their Universal Quilts}},
author = {Elizabeth Gasparim and Carlos Simpson and Bruno Suzuki and Rashid Talha},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.00021},
eprint = {2609.00021},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.00021},
}
RIS
TY - UNPB
TI - Calabi-Yau Threefold Singularities and their Universal Quilts
AU - Elizabeth Gasparim
AU - Carlos Simpson
AU - Bruno Suzuki
AU - Rashid Talha
PY - 2026
DA - 2026/09/01
PB - arXiv
DO - 10.48550/arxiv.2609.00021
UR - https://arxiv.org/abs/2609.00021
AB - We introduce the notion of universal quilt for toric CY3 singularities and construct examples when the universal quilts are themselves smooth Calabi-Yau threefolds. Such quilts are designed to contain all of the crepant resolutions of the given singularity. To obtain universal quilts we implement an algorithm that computes all triangulations for any given planar polygon. We also introduce the notion of quilt stack, to address the question of finding the most likely smooth configuration preceding a given singularity.
ER -