Mathematics – Algebraic Geometry
Scientific paper
2001-08-09
Mathematics
Algebraic Geometry
26 pages
Scientific paper
We define the notions of micro-support and regularity for ind-sheaves, and prove their invariance by contact transformations. We apply the results to the ind-sheaves of temperate holomorphic solutions of D-modules. We prove that the micro-support of such an ind-sheaf is the characteristic variety of the corresponding D-module and that the ind-sheaf is regular if the D-module is regular holonomic.
Kashiwara Masaki
Schapira Pierre
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