paper

A Semi-Orthogonal Decomposition Theorem for Weighted Blowups

arXiv:2501.08624

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-Schnürer.

13 pages. Improved exposition and extended the result mildly

A Semi-Orthogonal Decomposition Theorem for Weighted Blowups · wovepaper