Sheaves on local Calabi-Yau varieties

Details Sheaves on local Calabi-Yau varieties Sheaves on local Calabi-Yau varieties

2008-01-23

arxiv.org/abs/0801.3499v1

Mathematics

Algebraic Geometry

23 pages. Comments are welcome

Scientific paper

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.

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