The codimension-three conjecture for microlocal perverse sheaves with general coefficients

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Let XX be a complex manifold, let Λ⊂T∗X\Lambda\subset T^*X be a conic Lagrangian support, and let P ⁣erΛ(R)\mathcal{P\!er}_\Lambda(R) denote the stack of microlocal perverse sheaves with coefficients in a ring RR on T∗XT^*X supported on Λ\Lambda. Codimension-three conjecture. The codimension-three conjecture holds for the stack P ⁣erΛ(R)\mathcal{P\!er}_\Lambda(R) when RR is, for example, Z\mathbb{Z} or a field of positive characteristic. The source has established the relevant result in its original coefficient setting and proposes this extension to arbitrary coefficients, specifically including the examples stated here; no resolution is supplied in the excerpt.

References

Primary source

Masaki Kashiwara and Kari Vilonen, “Microdifferential systems and the codimension-three conjecture”, arXiv:1209.5124 (2013).

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