English

Involutivity of truncated microsupports

Algebraic Geometry 2007-05-23 v1 Symplectic Geometry

Abstract

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

Keywords

Cite

@article{arxiv.math/0205200,
  title  = {Involutivity of truncated microsupports},
  author = {Masaki Kashiwara and Teresa Monteiro Fernandes and Pierre Schapira},
  journal= {arXiv preprint arXiv:math/0205200},
  year   = {2007}
}

Comments

9 pages

R2 v1 2026-07-22T16:45:29.443Z