Cohesive DG Categories I: Milnor Descent

Details Cohesive DG Categories I: Milnor Descent Cohesive DG Categories I: Milnor Descent

2012-01-30

arxiv.org/abs/1201.6118v1

Mathematics

Algebraic Geometry

21 pages

Scientific paper

We show that the functor from curved differential graded algebras to differential graded categories, defined by the second author in [B], sends Cartesian diagrams to homotopy Cartesian diagrams, under certain reasonable hypotheses. This is an extension to the arena of dg categories of a construction of projective modules due to Milnor. As an example, we show that the functor satisfies descent for certain partitions of a complex manifold.

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