Effective algebraic geometry and normal forms of reversible mappings.

Jacquemard, Alain, and Teixeira, Marco Antonio. "Effective algebraic geometry and normal forms of reversible mappings.." Revista Matemática Complutense 15.1 (2002): 31-55. <http://eudml.org/doc/44427>.

@article{Jacquemard2002,
abstract = {We present a new method to compute normal forms, applied to the germs of reversible mappings. We translate the classification problem of these germs to the theory of ideals in the space of the coefficients of their jets. Integral factorization coupled with Gröbner basis constructionjs the key factor that makes the process efficient. We also show that a language with typed objects like AXIOM is very convenient to solve these kinds of problems.},
author = {Jacquemard, Alain, Teixeira, Marco Antonio},
journal = {Revista Matemática Complutense},
keywords = {Geometría algebraica; Formas normales; Singularidades; Difeomorfismos; Ideales; Jets; Gröbner bases; (formal) normal forms; effective algebraic geometry; symbolic computation; reversible mappings; diffeomorphisms in },
language = {eng},
number = {1},
pages = {31-55},
title = {Effective algebraic geometry and normal forms of reversible mappings.},
url = {http://eudml.org/doc/44427},
volume = {15},
year = {2002},
}

TY - JOUR
AU - Jacquemard, Alain
AU - Teixeira, Marco Antonio
TI - Effective algebraic geometry and normal forms of reversible mappings.
JO - Revista Matemática Complutense
PY - 2002
VL - 15
IS - 1
SP - 31
EP - 55
AB - We present a new method to compute normal forms, applied to the germs of reversible mappings. We translate the classification problem of these germs to the theory of ideals in the space of the coefficients of their jets. Integral factorization coupled with Gröbner basis constructionjs the key factor that makes the process efficient. We also show that a language with typed objects like AXIOM is very convenient to solve these kinds of problems.
LA - eng
KW - Geometría algebraica; Formas normales; Singularidades; Difeomorfismos; Ideales; Jets; Gröbner bases; (formal) normal forms; effective algebraic geometry; symbolic computation; reversible mappings; diffeomorphisms in
UR - http://eudml.org/doc/44427
ER -