A vanishing theorem for holonomic modules with positive characteristic varieties

DOI10.2977/prims/1195170961zbMath0728.58036OpenAlexW2073649946MaRDI QIDQ805036

Naofumi Honda, Pierre Schapira

Publication date: 1990

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195170961

zbMATH Keywords

microdifferential operatorsSato's micro-functions

Mathematics Subject Classification ID

Relations of PDEs on manifolds with hyperfunctions (58J15) Vanishing theorems (32L20) Real-analytic manifolds, real-analytic spaces (32C05)

Related Items

Perverse sheaves over real hyperplane arrangements, Dimension formulas for the hyperfunction solutions to holonomic \(\mathcal D\)-modules, On the dimension formula for the hyperfunction solutions of some holonomic \(D\)-modules, On the \(C^ \infty\)-singularities of regular holonomic distributions

Cites Work

• On holonomic systems of microdifferential equations. III: Systems with regular singularities
• Conditions de positivité dans une variété symplectique complexe. Application à l'étude des microfonctions
• Fourier integral operators with complex phase functions and parametrix for an interior boundary value problem
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