Homological Mirror Symmetry and Simple Elliptic Singularities

Abstract

We give a full exceptional collection in the triangulated category of singularities in the sense of Orlov for a hypersurface singularity of Fermat type, and discuss its relation with homological mirror symmetry for simple elliptic hypersurface singularities.

17 pages. v2: note added at the end of Introduction

References in corpus (5)

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• F-term equations near Gepner points
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Cited by in corpus (7)

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• Homological mirror symmetry for invertible polynomials in two variables
• Categories of singularities of invertible polynomials
• Maximally-graded matrix factorizations for an invertible polynomial of chain type