Dmitri Olegovich Orlov
Abstract
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In spite of physics terms in the title, this paper is purely mathematical. Its purpose is to introduce triangulated categories related to singularities of algebraic varieties and establish a connection of these categories with D-branes in Landau-Ginzburg models.
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In spite of physics terms in the title, this paper is purely mathematical. Its purpose is to introduce triangulated categories related to singularities of algebraic varieties and establish a connection of these categories with D-branes in Landau-Ginzburg models.
Key concepts: Coherent sheaf, Mathematics, Triangulated category, Derived category, Subcategory, Pure mathematics, Resolution of singularities, Type (biology)