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A Semi-Orthogonal Decomposition Theorem for Weighted Blowups

Published 15 Jan 2025 in math.AG | (2501.08624v2)

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.

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