About the Euler-Poincaré characteristic of semi-algebraic sets defined with two inequalities.

Nicolas Dutertre

Revista Matemática Complutense (2001)

  • Volume: 14, Issue: 1, page 45-82
  • ISSN: 1139-1138

Abstract

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We express the Euler-Poincaré characteristic of a semi-algebraic set, which is the intersection of a non-singular complete intersection with two polynomial inequalities, in terms of the signatures of appropriate bilinear symmetric forms.

How to cite

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Dutertre, Nicolas. "About the Euler-Poincaré characteristic of semi-algebraic sets defined with two inequalities.." Revista Matemática Complutense 14.1 (2001): 45-82. <http://eudml.org/doc/44454>.

@article{Dutertre2001,
abstract = {We express the Euler-Poincaré characteristic of a semi-algebraic set, which is the intersection of a non-singular complete intersection with two polynomial inequalities, in terms of the signatures of appropriate bilinear symmetric forms.},
author = {Dutertre, Nicolas},
journal = {Revista Matemática Complutense},
keywords = {Geometría algebraica; Conjuntos; Desigualdades; Algebra de polinomios; Teoría de Morse; Variedad algebraica; Euler-Poincaré characteristic; semi-algebraic set; complete intersection; signatures},
language = {eng},
number = {1},
pages = {45-82},
title = {About the Euler-Poincaré characteristic of semi-algebraic sets defined with two inequalities.},
url = {http://eudml.org/doc/44454},
volume = {14},
year = {2001},
}

TY - JOUR
AU - Dutertre, Nicolas
TI - About the Euler-Poincaré characteristic of semi-algebraic sets defined with two inequalities.
JO - Revista Matemática Complutense
PY - 2001
VL - 14
IS - 1
SP - 45
EP - 82
AB - We express the Euler-Poincaré characteristic of a semi-algebraic set, which is the intersection of a non-singular complete intersection with two polynomial inequalities, in terms of the signatures of appropriate bilinear symmetric forms.
LA - eng
KW - Geometría algebraica; Conjuntos; Desigualdades; Algebra de polinomios; Teoría de Morse; Variedad algebraica; Euler-Poincaré characteristic; semi-algebraic set; complete intersection; signatures
UR - http://eudml.org/doc/44454
ER -

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