Reconstruction of a Variety from 𝒪[[ℏ]]-Modules

REFERENCES

• Bondal , A. , Van den Bergh , M. ( 2003 ). Generators and representability of functors in commutative and noncommutative geometry . Mosc. Math. J. 3 ( 1 ): 1 – 36 .
   Web of Science ®Google Scholar
• Bondal , A. , Orlov , D. ( 2001 ). Reconstruction of a variety from the derived category and groups of autoequivalences . Compositio Math. 125 : 327 – 344 .
   Web of Science ®Google Scholar
• Chen , H.-Y. (2010). GAGA for DQ-algebroids. Rend. Semin. Math. Univ. Padova 123:211–231.
   Web of Science ®Google Scholar
• D'Agnolo , A. , Guillermou , S. , Schapira , P. ( 2011 ). Regular holonomic 𝒟[[ℏ]]-modules . Publ. Res. Inst. Math. Sci. 47 : 221 – 255 .
   Web of Science ®Google Scholar
• Huybrechts , D. ( 2006 ). Fourier–Mukai Transforms in Algebraic Geometry . Oxford : Oxford Mathematical Monographs .
   Google Scholar
• Kashiwara , M. , Schapira , P. ( 2012 ). Deformation quantization modules. Astérisque 345 .
   Google Scholar
• Lunts , V. A. , Orlov , D. ( 2010 ). Uniqueness of enhancement for triangulated categories . J. Amer. Math. Soc. 23 : 853 – 908 .
   Web of Science ®Google Scholar
• Neeman , A. ( 1996 ). The Grothendieck duality theorem via Bousfield's techniques and Brown representability . J. Amer. Math. Soc. 9 : 205 – 236 .
   Web of Science ®Google Scholar
• Orlov , D. ( 1997 ). Equivalences of derived categories and K3 surfaces . J. Math. Sci. 84 : 1361 – 1381 .
   Google Scholar
• Petit , F. ( 2012 ). DG affinity of DQ-modules . Int. Math. Res. Not. IMRN ( 6 ): 1414 – 1438 .
   Google Scholar
• Petit , F. Fourier-Mukai transform in the quantized setting. Advances in Math. 256:1–17.
   Google Scholar
• Communicated by S. Bazzoni.
   Google Scholar