GAGA for DQ-algebroid
type: Item
instance of: scholarly article
title: GAGA for DQ-algebroid
zbMATH Open document ID: 1195.18004
DOI: 10.4171/RSMUP/123-11
author: Hou-Yi Chen
published in: Rendiconti del Seminario Matematico della Università di Padova
publication date: 2010-09-07T00:00:00Z
full work available at URL: https://eudml.org/doc/241674
full work available at URL: http://rendiconti.math.unipd.it/volumes/vol123.php
review text: Summary: Let \(X\) be a smooth complex projective variety with associated compact complex manifold \(X_{\text{an}}\). If \({\mathcal A}_X\) is a DQ-algebroid on \(X\), then there is an induced DQ-algebroid \({\mathcal A}_{X_{\text{an}}}\) on \(X_{\text{an}}\). We show that the natural functor from the derived category of bounded complexes of \({\mathcal A}_X\)-modules with coherent cohomologies to the derived category of bounded complexes of \({\mathcal A}_{X_{\text{an}}}\)-modules with coherent cohomologies is an equivalence.
Mathematics Subject Classification ID: 18E30
Mathematics Subject Classification ID: 18D05
Mathematics Subject Classification ID: 32C38
Mathematics Subject Classification ID: 46L65
Mathematics Subject Classification ID: 53D55
Mathematics Subject Classification ID: 18F20
zbMATH DE Number: 5780252
MaRDI profile type: Publication
cites work: Q4660480
cites work: Q4319806
cites work: Q5632701
cites work: Q2551490
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cites work: Categories and Sheaves
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cites work: Algebraic geometry and analytic geometry
cites work: Deformation quantization in algebraic geometry
description: scientific article; zbMATH DE number 5780252