Multi-specialization and multi-asymptotic expansions

Details Multi-specialization and multi-asymptotic expansions Multi-specialization and multi-asymptotic expansions

2010-06-24

arxiv.org/abs/1006.4785v1

Mathematics

Algebraic Geometry

70 pages, uses xy-pic

Scientific paper

In this paper we extend the notion of specialization functor to the case of several closed submanifolds satisfying some suitable conditions. Applying this functor to the sheaf of Whitney holomorphic functions we construct different kinds of sheaves of multi-asymptotically developable functions, whose definitions are natural extensions of the definition of strongly asymptotically developable functions introduced by Majima.

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