Derived Categories of Coherent Sheaves and Triangulated Categories of Singularities

Details Derived Categories of Coherent Sheaves and Triangulated Categories of Singularities Derived Categories of Coherent Sheaves and Triangulated Categories of Singularities

2005-03-28

arxiv.org/abs/math/0503632v3

Algebra, arithmetic, and geometry: in honor of Yu. I. Manin. Vol. II, 503--531, Progr. Math., 270, Birkhauser, Boston, Inc., B

Mathematics

Algebraic Geometry

26 pp., LaTeX

Scientific paper

In this paper we establish an equivalence between the category of graded D-branes of type B in Landau-Ginzburg models with homogeneous superpotential W and the triangulated category of singularities of the fiber of W over zero. The main result is a theorem that shows that the graded triangulated category of singularities of the cone over a projective variety is connected via a fully faithful functor to the bounded derived category of coherent sheaves on the base of the cone. This implies that the category of graded D-branes of type B in Landau-Ginzburg models with homogeneous superpotential W is connected via a fully faithful functor to the derived category of coherent sheaves on the projective variety defined by the equation W=0.

Affiliated with

Also associated with

No associations

Rating

Derived Categories of Coherent Sheaves and Triangulated Categories of Singularities 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 Derived Categories of Coherent Sheaves and Triangulated Categories of Singularities, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Derived Categories of Coherent Sheaves and Triangulated Categories of Singularities will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-599210