Stratifications of polynomial spaces

Birbrair, Lev. "Stratifications of polynomial spaces." Publicacions Matemàtiques 42.2 (1998): 383-410. <http://eudml.org/doc/41348>.

@article{Birbrair1998,
abstract = {In the paper we construct some stratifications of the space of monic polynomials in real and complex cases. These stratifications depend on properties of roots of the polynomials on some given semialgebraic subset of R or C. We prove differential triviality of these stratifications. In the real case the proof is based on properties of the action of the group of interval exchange transformations on the set of all monic polynomials of some given degree. Finally we compare stratifications corresponding to different semialgebraic subsets.},
author = {Birbrair, Lev},
journal = {Publicacions Matemàtiques},
keywords = {Algebra de polinomios; Estratificación; Ceros de polinomios; Grupos de transformación; stratification; monic polynomial},
language = {eng},
number = {2},
pages = {383-410},
title = {Stratifications of polynomial spaces},
url = {http://eudml.org/doc/41348},
volume = {42},
year = {1998},
}

TY - JOUR
AU - Birbrair, Lev
TI - Stratifications of polynomial spaces
JO - Publicacions Matemàtiques
PY - 1998
VL - 42
IS - 2
SP - 383
EP - 410
AB - In the paper we construct some stratifications of the space of monic polynomials in real and complex cases. These stratifications depend on properties of roots of the polynomials on some given semialgebraic subset of R or C. We prove differential triviality of these stratifications. In the real case the proof is based on properties of the action of the group of interval exchange transformations on the set of all monic polynomials of some given degree. Finally we compare stratifications corresponding to different semialgebraic subsets.
LA - eng
KW - Algebra de polinomios; Estratificación; Ceros de polinomios; Grupos de transformación; stratification; monic polynomial
UR - http://eudml.org/doc/41348
ER -