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Constructibility and duality for simple holonomic modules on complex symplectic manifolds

Masaki Kashiwara·Pierre Schapira
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Abstract

Consider a complex symplectic manifold $X$ and the algebroid $W_X$ of quantization-deformation. For two regular holonomic modules $L_i$ ($i=0,1$) supported by smooth Lagrangian manifolds, we prove that the complex $Rhom_{W_X}(L_1,L_0)$ is constructible and perverse and dual to the complex $Rhom_{W_X}(L_0,L_1)$.

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Masaki Kashiwara, Pierre Schapira. 2007-06-10. Constructibility and duality for simple holonomic modules on complex symplectic manifolds. https://arxiv.org/abs/math/0512047

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