Matrix factorizations over projective schemes

Details Matrix factorizations over projective schemes Matrix factorizations over projective schemes

2011-10-13

arxiv.org/abs/1110.2918v1

Mathematics

Algebraic Geometry

19 pages

Scientific paper

We study matrix factorizations of locally free coherent sheaves on a scheme. For a scheme that is projective over an affine scheme, we show that homomorphisms in the homotopy category of matrix factorizations may be computed as the hypercohomology of a certain mapping complex. Using this explicit description, we give another proof of Orlov's theorem that there is a fully faithful embedding of the homotopy category of matrix factorizations into the singularity category of the corresponding zero subscheme. We also give a complete description of the image of this functor.

Affiliated with

Also associated with

No associations

Rating

Matrix factorizations over projective 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 Matrix factorizations over projective schemes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Matrix factorizations over projective schemes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-500216