Geodesic
Matrix factorizations over projective schemes
Homology, homotopy, and applications, Tome 14 (2012) no. 2, pp. 37-61.

Voir la notice de l'article provenant de la source International Press of Boston

We study matrix factorizations of regular global sections of line bundles on schemes. If the line bundle is very ample relative to a Noetherian affine scheme we show that morphisms in the homotopy category of matrix factorizations may be computed as the hypercohomology of a certain mapping complex. Using this explicit description, we prove an analogue 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. Moreover, we give a complete description of the image of this functor.
DOI : 10.4310/HHA.2012.v14.n2.a3
Classification : 13D02, 13D09, 14F05
Keywords: matrix factorization, singularity category 
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     title = {Matrix factorizations over projective schemes},
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     pages = {37--61},
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     language = {en},
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Jesse Burke; Mark E. Walker. Matrix factorizations over projective schemes. Homology, homotopy, and applications, Tome 14 (2012) no. 2, pp. 37-61. doi : 10.4310/HHA.2012.v14.n2.a3. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2012.v14.n2.a3/

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