Reconstruction of a variety from $\mathcal{O}[[\hslash ]]$-modules

Abstract

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

22 pages. arXiv admin note: text overlap with arXiv:0802.1245, arXiv:1003.3304, arXiv:0906.2175, arXiv:1103.0253 by other authors; final version

References in corpus (3)

• Uniqueness of enhancement for triangulated categories
• Deformation quantization modules
• Regular holonomic D[[h]]-modules