Algebraic slopes and analytic slopes of a D-modules

Authors
Laurent, Y Mebkhout, Z
Citation
Y. Laurent et Z. Mebkhout, Algebraic slopes and analytic slopes of a D-modules, ANN SCI EC, 32(1), 1999, pp. 39-69
Citations number
21
Categorie Soggetti
Mathematics
Journal title
ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE
ISSN journal
00129593 → ACNP
Volume
32
Issue
1
Year of publication
1999
Pages
39 - 69
Database
ISI
SICI code
0012-9593(199901/02)32:1<39:ASAASO>2.0.ZU;2-W
Abstract
The aim of this paper is to prove a bijection between the slopes of a holon omic D-module and its characteristic exponents, and then to define its Newt on Polygon. The slopes are rational numbers which are calculated algebraica lly from the micro-characteristic varieties, while the characteristic expon ants are related to the growth of solutions. (C) Elsevier, Paris.