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Involutivity of truncated microsupports

Masaki Kashiwara, Teresa Monteiro Fernandes, Pierre Schapira

math.AGarXiv:math/0205200

Abstract

Using a result of J-M. Bony, we prove the weak involutivity of truncated microsupports. More precisely, given a sheaf F on a real manifold and an integer k, if two functions vanish on the truncated microsupport Ssk(F), then so does their Poisson bracket.

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