Sheaves on local Calabi-Yau varieties
arXiv:0801.3499
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 (6)
- Homological mirror symmetry for the quartic surface
- Sur les A-infini catégories
- Francia's flip and derived categories
- Homotopy algebras and noncommutative geometry
- Generating the superpotential on a D-brane category: I
- The A-infinity Deformation Theory of a Point and the Derived Categories of Local Calabi-Yaus
Cited by in corpus (7)
- Suspending Lefschetz fibrations, with an application to Local Mirror Symmetry
- Fourier-Mukai functors in the supported case
- Derived equivalence classification of Brauer graph algebras
- Remarks on quiver gauge theories from open topological string theory
- A note on exceptional unimodal singularities and K3 surfaces
- The Physical Mirror Equivalence for the Local P^2
- Weighted projective lines as fine moduli spaces of quiver representations