On the derived category of a weighted projective threefold
Yujiro Kawamata
TL;DR
This paper computes a semi-orthogonal decomposition of the derived category of coherent sheaves on a specific weighted projective threefold, P(1,1,1,3), using a tilting bundle, advancing understanding of its categorical structure.
Contribution
It introduces a method to explicitly determine the semi-orthogonal decomposition of the derived category for P(1,1,1,3) employing a tilting bundle, providing new insights into its structure.
Findings
Explicit semi-orthogonal decomposition obtained
Identification of a tilting bundle on P(1,1,1,3)
Enhanced understanding of the derived category structure
Abstract
We calculate a semi-orthogonal decomposition of the bounded derived category of coherent sheaves on P(1,1,1,3) using a tilting bundle.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Algebraic Geometry and Number Theory · Nonlinear Waves and Solitons