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Degree formulas and signature formulas for the Euler characteristic of real algebraic sets
- 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.
- Subjects :
- Statistics and Probability
Discrete mathematics
Pure mathematics
Function field of an algebraic variety
Applied Mathematics
General Mathematics
010102 general mathematics
Dimension of an algebraic variety
01 natural sciences
Algebraic cycle
symbols.namesake
Polar curve
Euler characteristic
ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION
0103 physical sciences
Real algebraic geometry
symbols
010307 mathematical physics
[MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG]
0101 mathematics
Algebraic number
ComputingMilieux_MISCELLANEOUS
Mathematics
Singular point of an algebraic variety
Subjects
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⟩