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Author ID: dutertre.nicolas Recent zbMATH articles by "Dutertre, Nicolas"
Published as: Dutertre, Nicolas; Dutertre, N.

Publications by Year

Citations contained in zbMATH Open

31 Publications have been cited 120 times in 59 Documents Cited by Year
Lê-Greuel type formula for the Euler obstruction and applications. Zbl 1291.14009
Dutertre, Nicolas; Grulha, Nivaldo G.
15
2014
On the topology of semi-algebraic functions on closed semi-algebraic sets. Zbl 1255.14047
Dutertre, Nicolas
11
2012
Euler obstruction and Lipschitz-Killing curvatures. Zbl 1359.32005
Dutertre, Nicolas
8
2016
Topology of the real Milnor fiber for isolated singularities. Zbl 1281.32011
Araújo dos Santos, Raimundo Nonato; Dreibelbis, Daniel; Dutertre, Nicolas
8
2012
Stratified critical points on the real Milnor fibre and integral-geometric formulas. Zbl 1317.32009
Dutertre, Nicolas
7
2015
Topology of real Milnor fibrations for non-isolated singularities. Zbl 1404.58055
Dutertre, Nicolas; Araújo dos Santos, Raimundo N.
7
2016
Open book structures on semi-algebraic manifolds. Zbl 1342.14117
Dutertre, N.; Araújo dos Santos, R. N.; Chen, Ying; Andrade do Espirito Santo, Antonio
6
2016
Euler characteristic and Lipschitz-Killing curvatures of closed semi-algebraic sets. Zbl 1256.14059
Dutertre, Nicolas
5
2012
Fibration structures and formulae for the Euler characteristics of Milnor fibers. Zbl 1360.32026
Dutertre, Nicolas; Araújo dos Santos, Raimundo; Chen, Ying; Andrade do Espirito Santo, Antonio
5
2016
A Gauss-Bonnet formula for closed semi-algebraic sets. Zbl 1222.14124
Dutertre, Nicolas
5
2008
On the topology of stable maps. Zbl 1294.57018
Dutertre, Nicolas; Fukui, Toshizumi
5
2014
On the Euler characteristic of semi-analytic and semi-algebraic sets. Zbl 1047.14046
Dutertre, Nicolas
4
2003
On topological invariants associated with a polynomial with isolated critical points. Zbl 1054.14076
Dutertre, Nicolas
4
2004
Some notes on the Euler obstruction of a function. Zbl 1318.14006
Dutertre, Nicolas; Grulha, Nivaldo G. jun.
4
2014
On the topology of non-isolated real singularities. Zbl 1458.32008
Dutertre, Nicolas
4
2020
On the Euler characteristics of real Milnor fibres of partially parallelizable maps of \((\mathbb{R}^n, 0)\) to \((\mathbb{R}^{2},0)\). Zbl 1173.14042
Dutertre, Nicolas
3
2009
Degree formulas for a topological invariant of bifurcations of function-germs. Zbl 0982.58025
Dutertre, Nicolas
2
2000
Geometrical and topological properties of real polynomial fibres. Zbl 1060.14081
Dutertre, Nicolas
2
2004
Topology and geometry of real singularities. Zbl 1432.58034
Dutertre, Nicolas
2
2016
On the Milnor fiber of a real map-germ. Zbl 1081.14078
Dutertre, Nicolas
2
2002
On the fiber of a polynomial with isolated critical points. (Sur la fibre d’un polynôme à points critiques isolés.) Zbl 0959.14037
Dutertre, Nicolas
1
1999
Radial index and Poincaré-Hopf index of 1-forms on semi-analytic sets. Zbl 1198.14002
Dutertre, Nicolas
1
2010
An algebraic formula for the Euler characteristic of some semi-algebraic sets. Zbl 0968.14031
Dutertre, Nicolas
1
1999
On affine complete intersections with isolated singularities. Zbl 1070.14056
Dutertre, Nicolas
1
2001
Courbures et singularités réelles. (Curvatures and real singularities). Zbl 1022.58017
Dutertre, Nicolas
1
2002
Semi-algebraic neighborhoods of closed semi-algebraic sets. Zbl 1174.14051
Dutertre, Nicolas
1
2009
On \(p\)-parameter bifurcation of an \(n\)-dimensional function-germ. Zbl 0902.32015
Dutertre, Nicolas
1
1997
Topological formulas for closed semi-algebraic sets by Euler integration. Zbl 1359.14051
Dutertre, N.; Moya-Pérez, J. A.
1
2016
Global Euler obstruction, global Brasselet numbers and critical points. Zbl 1467.32005
Dutertre, Nicolas; Grulha, Nivaldo G. jun.
1
2020
Gauss-Kronecker curvature and equisingularity at infinity of definable families. Zbl 1508.14064
Dutertre, Nicolas; Grandjean, Vincent
1
2021
Lipschitz-Killing curvatures and polar images. Zbl 1504.14099
Dutertre, Nicolas
1
2019
Gauss-Kronecker curvature and equisingularity at infinity of definable families. Zbl 1508.14064
Dutertre, Nicolas; Grandjean, Vincent
1
2021
On the topology of non-isolated real singularities. Zbl 1458.32008
Dutertre, Nicolas
4
2020
Global Euler obstruction, global Brasselet numbers and critical points. Zbl 1467.32005
Dutertre, Nicolas; Grulha, Nivaldo G. jun.
1
2020
Lipschitz-Killing curvatures and polar images. Zbl 1504.14099
Dutertre, Nicolas
1
2019
Euler obstruction and Lipschitz-Killing curvatures. Zbl 1359.32005
Dutertre, Nicolas
8
2016
Topology of real Milnor fibrations for non-isolated singularities. Zbl 1404.58055
Dutertre, Nicolas; Araújo dos Santos, Raimundo N.
7
2016
Open book structures on semi-algebraic manifolds. Zbl 1342.14117
Dutertre, N.; Araújo dos Santos, R. N.; Chen, Ying; Andrade do Espirito Santo, Antonio
6
2016
Fibration structures and formulae for the Euler characteristics of Milnor fibers. Zbl 1360.32026
Dutertre, Nicolas; Araújo dos Santos, Raimundo; Chen, Ying; Andrade do Espirito Santo, Antonio
5
2016
Topology and geometry of real singularities. Zbl 1432.58034
Dutertre, Nicolas
2
2016
Topological formulas for closed semi-algebraic sets by Euler integration. Zbl 1359.14051
Dutertre, N.; Moya-Pérez, J. A.
1
2016
Stratified critical points on the real Milnor fibre and integral-geometric formulas. Zbl 1317.32009
Dutertre, Nicolas
7
2015
Lê-Greuel type formula for the Euler obstruction and applications. Zbl 1291.14009
Dutertre, Nicolas; Grulha, Nivaldo G.
15
2014
On the topology of stable maps. Zbl 1294.57018
Dutertre, Nicolas; Fukui, Toshizumi
5
2014
Some notes on the Euler obstruction of a function. Zbl 1318.14006
Dutertre, Nicolas; Grulha, Nivaldo G. jun.
4
2014
On the topology of semi-algebraic functions on closed semi-algebraic sets. Zbl 1255.14047
Dutertre, Nicolas
11
2012
Topology of the real Milnor fiber for isolated singularities. Zbl 1281.32011
Araújo dos Santos, Raimundo Nonato; Dreibelbis, Daniel; Dutertre, Nicolas
8
2012
Euler characteristic and Lipschitz-Killing curvatures of closed semi-algebraic sets. Zbl 1256.14059
Dutertre, Nicolas
5
2012
Radial index and Poincaré-Hopf index of 1-forms on semi-analytic sets. Zbl 1198.14002
Dutertre, Nicolas
1
2010
On the Euler characteristics of real Milnor fibres of partially parallelizable maps of \((\mathbb{R}^n, 0)\) to \((\mathbb{R}^{2},0)\). Zbl 1173.14042
Dutertre, Nicolas
3
2009
Semi-algebraic neighborhoods of closed semi-algebraic sets. Zbl 1174.14051
Dutertre, Nicolas
1
2009
A Gauss-Bonnet formula for closed semi-algebraic sets. Zbl 1222.14124
Dutertre, Nicolas
5
2008
On topological invariants associated with a polynomial with isolated critical points. Zbl 1054.14076
Dutertre, Nicolas
4
2004
Geometrical and topological properties of real polynomial fibres. Zbl 1060.14081
Dutertre, Nicolas
2
2004
On the Euler characteristic of semi-analytic and semi-algebraic sets. Zbl 1047.14046
Dutertre, Nicolas
4
2003
On the Milnor fiber of a real map-germ. Zbl 1081.14078
Dutertre, Nicolas
2
2002
Courbures et singularités réelles. (Curvatures and real singularities). Zbl 1022.58017
Dutertre, Nicolas
1
2002
On affine complete intersections with isolated singularities. Zbl 1070.14056
Dutertre, Nicolas
1
2001
Degree formulas for a topological invariant of bifurcations of function-germs. Zbl 0982.58025
Dutertre, Nicolas
2
2000
On the fiber of a polynomial with isolated critical points. (Sur la fibre d’un polynôme à points critiques isolés.) Zbl 0959.14037
Dutertre, Nicolas
1
1999
An algebraic formula for the Euler characteristic of some semi-algebraic sets. Zbl 0968.14031
Dutertre, Nicolas
1
1999
On \(p\)-parameter bifurcation of an \(n\)-dimensional function-germ. Zbl 0902.32015
Dutertre, Nicolas
1
1997

Citations by Year