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A G ] 2 2 Se p 20 05 DERIVED CATEGORIES OF COHERENT SHEAVES AND TRIANGULATED CATEGORIES OF SINGULARITIES
| Content Provider | Semantic Scholar |
|---|---|
| Author | Ivanovich, Yuri |
| Copyright Year | 2005 |
| Abstract | 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 the theorem which 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 . |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | https://www.math.nyu.edu/~tschinke/.manin/submitted/orlov.pdf |
| Alternate Webpage(s) | http://arxiv.org/pdf/math/0503632v1.pdf |
| Alternate Webpage(s) | http://www.math.nyu.edu/~tschinke/.manin/submitted/orlov.pdf |
| Alternate Webpage(s) | http://arxiv.org/pdf/math/0503632v2.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Arabic numeral 0 Coherence (physics) Cone (formal languages) Status Epilepticus Tissue fiber Turing completeness |
| Content Type | Text |
| Resource Type | Article |
