JournalsprimsVol. 37 , No. 1DOI 10.4171/prims/37.1.2

Specialization of Formal Cohomology and Asymptotic Expansions

  • Violaine Colin

    Universidade de Lisboa, Portugal
Specialization of Formal Cohomology and Asymptotic Expansions cover

Abstract

Following a work of Andronikof, we build a theory of Whitney specialization for _C_∞-functions and holomorphic functions. To a ℝ-constructible sheaf, we associate a D-module. In particular, the constant sheaf gives the germs of functions asymptotically developable.