A Semi-Orthogonal Decomposition Theorem for Weighted Blowups
Algebraic Geometry
2026-05-04 v3
Abstract
We establish a semi-orthogonal decomposition for the weighted blowup of an algebraic stack along a Koszul-regular weighted centre, generalising the classic result of Orlov. Our approach is based on the work of Bergh-Schn\"urer.
Keywords
Cite
@article{arxiv.2501.08624,
title = {A Semi-Orthogonal Decomposition Theorem for Weighted Blowups},
author = {Oliver Li},
journal= {arXiv preprint arXiv:2501.08624},
year = {2026}
}
Comments
13 pages. Improved exposition and extended the result mildly