Kashiwara–Schapira's R-constructibility conjecture for tempered solutions
Kashiwara–Schapira's R-constructibility conjecture for tempered solutions
Let be a complex manifold, let be its sheaf of differential operators, and let be a bounded complex with holonomic cohomology. Write for its complex of tempered holomorphic solutions on the subanalytic site . Kashiwara–Schapira's conjecture. The complex
is -sa-constructible. This conjecture describes the image of the tempered solution functor topologically, extending constructibility results for regular holonomic modules; it was proved for complex curves and, in the present article, in full generality.
Sources & referencesView supporting material
Primary source
Giovanni Morando, “Constructibility of tempered solutions of holonomic D-modules”, arXiv:1311.6621 (2013).
Additional references
2 papers in this index state this conjecture (2010–2013). The statement above is taken from the most recent of them; the others are arXiv:1007.4158.
Progress summary
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