PreprintCC BY-NC-ND 4.0arXiv
Noncommutative Hourglasses II 1/2: Derived Category of Birational Linkage with Well-Formed Singularities
Abstract
We consider varieties whose singularities are complete intersections within toric singularities, which we call well-formed varieties. Using the construction of equivariant standard resolutions, we can extend several classical formulas in the derived category of bounded coherent sheaves to this singular setting. Finally, we also discuss the Bondal--Orlov localization for certain morphisms between terminal complex threefolds and their stacks.
Related
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BibTeX
@misc{hao2026noncommutative,
title = {{Noncommutative Hourglasses II 1/2: Derived Category of Birational Linkage with Well-Formed Singularities}},
author = {Xingbang Hao},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2608.28815},
eprint = {2608.28815},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.28815},
note = {CC BY-NC-ND 4.0},
}
RIS
TY - UNPB
TI - Noncommutative Hourglasses II 1/2: Derived Category of Birational Linkage with Well-Formed Singularities
AU - Xingbang Hao
PY - 2026
DA - 2026/08/28
PB - arXiv
DO - 10.48550/arxiv.2608.28815
UR - https://arxiv.org/abs/2608.28815
AB - We consider varieties whose singularities are complete intersections within toric singularities, which we call well-formed varieties. Using the construction of equivariant standard resolutions, we can extend several classical formulas in the derived category of bounded coherent sheaves to this singular setting. Finally, we also discuss the Bondal--Orlov localization for certain morphisms between terminal complex threefolds and their stacks.
ER -