Rendiconti del Seminario Matematico della Università di Padova
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GAGA for DQ-AlgebroidHou-Yi Chen (1) Department of Mathematics, National Taiwan University, No. 1, Sec. 4, Roosevelt Rd., 10617, Taipei, Taiwan (R.O.C.)
Let X be a smooth complex projective variety with associated compact manifoldXan. If AX is a DQ-algbroid on X, thenthere is an induced DQ-algebroid AXan on Xan. We show that the natural functor from the derived category of bounded complexes of AX-modules with coherent cohomologies to the derived category of bounded complexes ofAXan-modules with coherent cohomologies is an equivalence.
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Chen Hou-Yi: GAGA for DQ-Algebroid. Rend. Sem. Mat. Univ. Padova 123 (2010), 211-231. doi: 10.4171/RSMUP/123-11