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Degree formulas and signature formulas for the Euler characteristic of real algebraic sets

Authors :
Nicolas Dutertre
Institut de Mathématiques de Marseille (I2M)
Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)
Centre National de la Recherche Scientifique (CNRS)-École Centrale de Marseille (ECM)-Aix Marseille Université (AMU)
Source :
Journal of Mathematical Sciences, Journal of Mathematical Sciences, 2013, 195 (2), pp.8. ⟨10.1007/s10958-013-1569-1⟩, Journal of Mathematical Sciences, Springer Verlag (Germany), 2013, 195 (2), pp.8. ⟨10.1007/s10958-013-1569-1⟩
Publication Year :
2013
Publisher :
HAL CCSD, 2013.

Abstract

We describe formulas, due to several authors, for the computation of the Euler characteristic of real algebraic sets. We also give a new result for real algebraic sets with a compact set of singular points.

Details

Language :
English
ISSN :
10723374 and 15738795
Database :
OpenAIRE
Journal :
Journal of Mathematical Sciences, Journal of Mathematical Sciences, 2013, 195 (2), pp.8. ⟨10.1007/s10958-013-1569-1⟩, Journal of Mathematical Sciences, Springer Verlag (Germany), 2013, 195 (2), pp.8. ⟨10.1007/s10958-013-1569-1⟩
Accession number :
edsair.doi.dedup.....59a308940987c9fea25d36440ef1922d
Full Text :
https://doi.org/10.1007/s10958-013-1569-1⟩