Direct Images of Sheaves of Differentials and the Atiyah Class.

J. le Potier; Th. Peternell

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Sheaf Spaces and Sheaves of Universal Algebras.

Brian A. Davey (1973)

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Characterizing Moisezon Spaces by Almost Positive Coherent Analytic Sheaves.

Oswald Riemenschneider (1971)

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The stack of microlocal perverse sheaves

Ingo Waschkies (2004)

Bulletin de la Société Mathématique de France

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In this paper we construct the abelian stack of microlocal perverse sheaves on the projective cotangent bundle of a complex manifold. Following ideas of Andronikof we first consider microlocal perverse sheaves at a point using classical tools from microlocal sheaf theory. Then we will use Kashiwara-Schapira’s theory of analytic ind-sheaves to globalize our construction. This presentation allows us to formulate explicitly a global microlocal Riemann-Hilbert correspondence.