As a first step toward a theory of a real Fourier transform for sheaves on Calabi–Yau manifolds fibred in special Lagrangian tori, we explicitly construct the functors which establish the equivalence between the category of skyscraper sheaves of finite-dimensional vector spaces on a real torus T, and the category of local systems (locally free sheaves of C-modules of finite rank) on the dual torus ˆT .
A Fourier transform for sheaves on real tori : Part I. The equivalence Sky (T)≃ Loc (T̂) / Bruzzo, U.; Marelli, G.; Pioli, F.. - In: JOURNAL OF GEOMETRY AND PHYSICS. - ISSN 0393-0440. - 39:2(2001), pp. 174-182. [10.1016/S0393-0440(01)00009-2]
A Fourier transform for sheaves on real tori : Part I. The equivalence Sky (T)≃ Loc (T̂)
Bruzzo, U.;
2001-01-01
Abstract
As a first step toward a theory of a real Fourier transform for sheaves on Calabi–Yau manifolds fibred in special Lagrangian tori, we explicitly construct the functors which establish the equivalence between the category of skyscraper sheaves of finite-dimensional vector spaces on a real torus T, and the category of local systems (locally free sheaves of C-modules of finite rank) on the dual torus ˆT .| File | Dimensione | Formato | |
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