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

Revista Matemática Complutense (2001)

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

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topDutertre, 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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