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 theorem by Orlov states that any equivalence between the bounded derived categories of coherent sh...
n this thesis we study Fourier-Mukai transforms between derived categories of twisted sheaves. We sh...
We study various topics lying in the crossroads of symplectic topology and geometric representation ...
As a first step toward a theory of a real Fourier transform for sheaves on Calabi–Yau manifolds fibr...
If X is a symplectic family of Lagrangian tori, the dual family X̂ has a natural complex structure. ...
We construct a Fourier–Mukai transform for smooth complex vector bundles E over a torus bundle π: M ...
We construct stable sheaves over K3 fibrations using a relative Fourier-Mukai transform which descri...
For X a smooth quasi-projective variety and [] its associated Hilbert scheme of n points, we study t...
We use Lagrangian torus fibrations on the mirror X of a toric Calabi-Yau threefold X' to construct L...
Let $L$ be an exact Lagrangian submanifold of a cotangent bundle $T^* M$, asymptotic to a Legendrian...
This book is a modern introduction to the theory of abelian varieties and theta functions.Here the F...
In this article we develop tools to compute the Geometric Quantization of a symplectic manifold with...
Abstract. Let f: X → S be a Lagrangian fibration between projective varieties. We prove that Rif∗OX ...
International audienceLaumon introduced the local Fourier transform for $\ell$-adic Galois represent...
In this article we develop tools to compute the Geometric Quantization of a symplectic manifold with...
A theorem by Orlov states that any equivalence between the bounded derived categories of coherent sh...
n this thesis we study Fourier-Mukai transforms between derived categories of twisted sheaves. We sh...
We study various topics lying in the crossroads of symplectic topology and geometric representation ...
As a first step toward a theory of a real Fourier transform for sheaves on Calabi–Yau manifolds fibr...
If X is a symplectic family of Lagrangian tori, the dual family X̂ has a natural complex structure. ...
We construct a Fourier–Mukai transform for smooth complex vector bundles E over a torus bundle π: M ...
We construct stable sheaves over K3 fibrations using a relative Fourier-Mukai transform which descri...
For X a smooth quasi-projective variety and [] its associated Hilbert scheme of n points, we study t...
We use Lagrangian torus fibrations on the mirror X of a toric Calabi-Yau threefold X' to construct L...
Let $L$ be an exact Lagrangian submanifold of a cotangent bundle $T^* M$, asymptotic to a Legendrian...
This book is a modern introduction to the theory of abelian varieties and theta functions.Here the F...
In this article we develop tools to compute the Geometric Quantization of a symplectic manifold with...
Abstract. Let f: X → S be a Lagrangian fibration between projective varieties. We prove that Rif∗OX ...
International audienceLaumon introduced the local Fourier transform for $\ell$-adic Galois represent...
In this article we develop tools to compute the Geometric Quantization of a symplectic manifold with...
A theorem by Orlov states that any equivalence between the bounded derived categories of coherent sh...
n this thesis we study Fourier-Mukai transforms between derived categories of twisted sheaves. We sh...
We study various topics lying in the crossroads of symplectic topology and geometric representation ...