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Leray’s quantization of projective duality. (Quantification de Leray de la dualité projective.) (French) Zbl 0832.32013

The authors present with \(D\)-modules methods a general theorem on contact transformations globally defined outside of the zero-section. In particular, by using the Leray’s kernel, one obtains for the complex projective space a Leray’s quantization of projective duality. Then, using classical adjunction formulas, one recovers Martineau’s isomorphism.

MSC:

32C38 Sheaves of differential operators and their modules, \(D\)-modules
35A27 Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs
58J15 Relations of PDEs on manifolds with hyperfunctions
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