Reconstruction of a variety from \mathscr{O}[[\hbar]]-modules

Details Reconstruction of a variety from \mathscr{O}[[\hbar]]-modules Reconstruction of a variety from \mathscr{O}[[\hbar]]-modules

2012-02-14

arxiv.org/abs/1202.2940v1

Mathematics

Algebraic Geometry

20 pages. arXiv admin note: text overlap with arXiv:0802.1245, arXiv:1003.3304, arXiv:0906.2175, arXiv:1103.0253 by other auth

Scientific paper

We prove that varieties are uniquely determined by the derived category of
$\mathscr{O}[[\hbar]]$-modules with coherent cohomology which is the same as
$\mathscr{O}$-modules proved by A. Bondal and D. Orlov. We also generalize a
theorem of Orlov.

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