Differential Graded Schemes II: The 2-category of Differential Graded Schemes

Details Differential Graded Schemes II: The 2-category of Differential Graded Schemes Differential Graded Schemes II: The 2-category of Differential Graded Schemes

2002-12-17

arxiv.org/abs/math/0212226v1

Mathematics

Algebraic Geometry

Scientific paper

We construct a 2-category of differential graded schemes. The local affine models in this theory are differential graded algebras, which are graded commutative with unit over a field of characteristic zero, are concentrated in non-positive degrees and have perfect cotangent complex. Quasi-isomorphic differential graded algebras give rise to 2-isomorphic differential graded schemes and a differential graded algebra can be recovered up to quasi-isomorphism from the differential graded scheme it defines. Differential graded schemes can be glued with respect to an etale topology and fibered products of differential graded schemes correspond on the algebra level to derived tensor products.

Affiliated with

Also associated with

No associations

Rating

Differential Graded Schemes II: The 2-category of Differential Graded Schemes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Differential Graded Schemes II: The 2-category of Differential Graded Schemes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Differential Graded Schemes II: The 2-category of Differential Graded Schemes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-259469