Tilting generators via ample line bundles

Mathematics – Algebraic Geometry

Scientific paper

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31 pages. Minor revisions. To appear in Advances in Math

Scientific paper

It is known that a tilting generator on an algebraic variety $X$ gives a
derived equivalence between $X$ and a certain non-commutative algebra. In this
paper, we explain a method to construct a tilting generator from an ample line
bundle, and construct it in several examples.

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