Sheaves on local Calabi-Yau varieties

Abstract

We investigate sheaves supported on the zero section of the total space of a locally-free sheaf E on a smooth, projective variety X when the top exterior power of E is isomorphic to the canonical bundle of X. We rephrase this construction using the language of A-infinity algebra and provide a simple characterisation of the case E is simply the canonical bundle itself.

23 pages. Comments are welcome

References in corpus (3)

• Sur les A-infini catégories
• Homotopy algebras and noncommutative geometry
• The A-infinity Deformation Theory of a Point and the Derived Categories of Local Calabi-Yaus