# Stratifications of polynomial spaces

Publicacions Matemàtiques (1998)

- Volume: 42, Issue: 2, page 383-410
- ISSN: 0214-1493

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topBirbrair, 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 -

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