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arxiv: 0804.4256 · v2 · submitted 2008-04-26 · 🧮 math.AG

Tilting generators via ample line bundles

classification 🧮 math.AG
keywords tiltingampleconstructgeneratorlinealgebraalgebraicbundle
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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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