PreprintCC BY-NC-ND 4.0arXiv
Derived Equivalences for Terminal Threefold Flops via Local Index-One Covering Models
Abstract
Inspired by the quadratic involutions of Corti-Pukhlikov-Reid and Gavin Brown's description of hypersurface flips via toric GIT, we apply similar symmetries to local covering models of terminal threefold flops. We recover the derived equivalence of their canonical stacks by pullback and pushforward along the fibre product over the canonical stack of the contraction target, revisiting the local picture in Kawamata's work.
Related
- On the classification of threefold flops
- Difference Equations and Reconstruction of Local Gopakumar-Vafa Spectra for Threefold Flops
- Rickard's question on standard derived equivalences
- On derived equivalences of exact structures on the category of representations k[x]/(xn)
- Derived equivalences and isogenies of supersingular abelian varieties
BibTeX
@misc{hao2026derived,
title = {{Derived Equivalences for Terminal Threefold Flops via Local Index-One Covering Models}},
author = {Xingbang Hao},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.04844},
eprint = {2611.04844},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.04844},
note = {CC BY-NC-ND 4.0},
}
RIS
TY - UNPB
TI - Derived Equivalences for Terminal Threefold Flops via Local Index-One Covering Models
AU - Xingbang Hao
PY - 2026
DA - 2026/11/03
PB - arXiv
DO - 10.48550/arxiv.2611.04844
UR - https://arxiv.org/abs/2611.04844
AB - Inspired by the quadratic involutions of Corti-Pukhlikov-Reid and Gavin Brown's description of hypersurface flips via toric GIT, we apply similar symmetries to local covering models of terminal threefold flops. We recover the derived equivalence of their canonical stacks by pullback and pushforward along the fibre product over the canonical stack of the contraction target, revisiting the local picture in Kawamata's work.
ER -