Fourier-Mukai transforms for K3 and elliptic fibrations

Given a non-singular variety with a K3 fibration π: X → S we construct dual fibrations π̂ : Y → S by replacing each fibre Xs of π by a two-dimensional moduli space of stable sheaves on Xs. In certain cases we prove that the resulting scheme Y is a non-singular variety and construct an equivalence of...

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Bibliographic Details
Main Authors: Bridgeland, T, Maciocia, A
Format: Journal article
Language:English
Published: 2002