Mathematics > Algebraic Geometry
[Submitted on 30 Apr 2018 (v1), last revised 2 Jun 2019 (this version, v3)]
Title:Piecewise linear sheaves
View PDFAbstract:On a finite-dimensional real vector space, we give a microlocal characterization of (derived) piecewise linear sheaves (PL sheaves) and prove that the triangulated category of such sheaves is generated by sheaves associated with convex polyhedra. We then give a similar theorem for PL gamma-sheaves, that is, PL sheaves associated with the gamma-topology, for a closed convex polyhedral proper cone gamma. Our motivation is that convex polyhedra may be considered as building blocks for higher dimensional barcodes.
Submission history
From: Masaki Kashiwara [view email][v1] Mon, 30 Apr 2018 12:02:48 UTC (15 KB)
[v2] Wed, 28 Nov 2018 14:03:49 UTC (17 KB)
[v3] Sun, 2 Jun 2019 01:56:25 UTC (19 KB)
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