Relations among analytic functions. II

Bierstone, Edward, and Milman, P. D.. "Relations among analytic functions. II." Annales de l'institut Fourier 37.2 (1987): 49-77. <http://eudml.org/doc/74757>.

@article{Bierstone1987,
abstract = {This is a sequel to “Relations among analytic functions I”, Ann. Inst. Fourier, 37, fasc. 1, [pp. 187-239]. We reduce to semicontinuity of local invariants the problem of finding $\{\cal C\}^\infty $ solutions to systems of equations involving division and composition by analytic functions. We prove semicontinuity in several general cases : in the algebraic category, for “regular” mappings, and for module homomorphisms over a finite mapping.},
author = {Bierstone, Edward, Milman, P. D.},
journal = {Annales de l'institut Fourier},
keywords = {division and composition by analytic functions; semicontinuity},
language = {eng},
number = {2},
pages = {49-77},
publisher = {Association des Annales de l'Institut Fourier},
title = {Relations among analytic functions. II},
url = {http://eudml.org/doc/74757},
volume = {37},
year = {1987},
}

TY - JOUR
AU - Bierstone, Edward
AU - Milman, P. D.
TI - Relations among analytic functions. II
JO - Annales de l'institut Fourier
PY - 1987
PB - Association des Annales de l'Institut Fourier
VL - 37
IS - 2
SP - 49
EP - 77
AB - This is a sequel to “Relations among analytic functions I”, Ann. Inst. Fourier, 37, fasc. 1, [pp. 187-239]. We reduce to semicontinuity of local invariants the problem of finding ${\cal C}^\infty $ solutions to systems of equations involving division and composition by analytic functions. We prove semicontinuity in several general cases : in the algebraic category, for “regular” mappings, and for module homomorphisms over a finite mapping.
LA - eng
KW - division and composition by analytic functions; semicontinuity
UR - http://eudml.org/doc/74757
ER -