If X is a symplectic family of Lagrangian tori, the dual family X̂ has a natural complex structure. We define, for any dimension of X, a Fourier transform which yields a bijective correspondence between local systems supported on Lagrangian submanifolds of X and holomorphic vector bundles supported on complex subvarieties of X̂ (suitable conditions being verified on both sides).
A Fourier transform for sheaves on real tori: Part II. Relative theory / Bruzzo, U.; Marelli, G.; Pioli, F.. - In: JOURNAL OF GEOMETRY AND PHYSICS. - ISSN 0393-0440. - 41:4(2002), pp. 312-329. [10.1016/S0393-0440(01)00065-1]
A Fourier transform for sheaves on real tori: Part II. Relative theory
Bruzzo, U.;
2002-01-01
Abstract
If X is a symplectic family of Lagrangian tori, the dual family X̂ has a natural complex structure. We define, for any dimension of X, a Fourier transform which yields a bijective correspondence between local systems supported on Lagrangian submanifolds of X and holomorphic vector bundles supported on complex subvarieties of X̂ (suitable conditions being verified on both sides).File in questo prodotto:
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