Nicolas Dutertre

Publications

Article dans une revue (22)

LÊ-GREUEL TYPE FORMULAS FOR SOME MAPPINGS FROM (R^n,0) TO (R^2,0) Nicolas Dutertre,Juan Antonio Moya Pérez Research in the Mathematical Sciences , 2025, 12 (4), pp.92. ⟨10.1007/s40687-025-00579-7⟩ Article dans une revue hal-05303558v1
EQUI-SINGULARITY OF REAL FAMILIES AND LIPSCHITZ KILLING CURVATURE DENSITIES AT INFINITY Nicolas Dutertre,Vincent Grandjean Annales de l'Institut Fourier, 2024, pp.2379-2423. ⟨10.5802/aif.3607⟩ Article dans une revue hal-04213877v1
PRINCIPAL KINEMATIC FORMULAS FOR GERMS OF CLOSED DEFINABLE SETS Nicolas Dutertre Advances in Mathematics, 2022, 399, ⟨10.1016/j.aim.2022.108251⟩ Article dans une revue hal-03089027v1
Gauss-Kronecker Curvature and equisingularity at infinity of definable families Nicolas Dutertre,Vincent Grandjean Asian Journal of Mathematics, 2021, pp.815-840. ⟨10.4310/AJM.2021.v25.n6.a2⟩ Article dans une revue hal-02308350v1
On the topology of non-isolated real singularities Nicolas Dutertre Journal of Singularities, 2020, Proc. of 15th International Workshop on Singularities, São Carlos, 2018, 22, pp.159-179. ⟨10.5427/jsing.2020.22j⟩ Article dans une revue hal-01985272v1
Global Euler obstruction, global Brasselet numbers and critical points Nicolas Dutertre,Nivaldo Grulha Proceedings of the Royal Society of Edinburgh: Section A, Mathematics, 2020, 150 (5), pp.2503-2534. ⟨10.1017/prm.2019.30⟩ Article dans une revue hal-02129140v1
Lipschitz-Killing curvatures and polar images Nicolas Dutertre Advances in Geometry, 2019, 19 (2), pp.205-230. ⟨10.1515/advgeom-2018-0019⟩ Article dans une revue hal-01239927v1
Topology of real Milnor fibration for non-isolated singularities Nicolas Dutertre,Raimundo N. Araújo dos Santos International Mathematics Research Notices, 2016, 2016 (16), pp.4849-4866. ⟨10.1093/imrn/rnv286⟩ Article dans une revue hal-00757428v1
Open book structures on semi-algebraic manifolds Nicolas Dutertre,Raimundo N. Araújo dos Santos,Ying Chen,Antonio Andrade Manuscripta mathematica, 2016, 149 (1), pp.18. ⟨10.1007/s00229-015-0772-4⟩ Article dans une revue hal-01064170v2
Fibrations structure and degree formulae for Milnor fibers Nicolas Dutertre,Raimundo N. Araújo dos Santos,Ying Chen,Antonio Andrade RIMS Kokyuroku Bessatsu, 2016, Theory of singularities of smooth mappings and around it B55, pp.41-65 Article dans une revue hal-01064938v1
Euler obstruction and Lipschitz-Killing curvatures Nicolas Dutertre Israel Journal of Mathematics, 2016, 213, pp.109-137. ⟨10.1007/s11856-016-1322-9⟩ Article dans une revue hal-00995743v1
Stratified critical points on the real Milnor fibre and integral-geometric formulas Nicolas Dutertre Journal of Singularities, 2015, 13, pp.20. ⟨10.5427/jsing.2015.13e⟩ Article dans une revue hal-00848992v1
Some notes on the Euler obstruction of a function Nivaldo G. Grulha Jr.,Nicolas Dutertre Journal of Singularities, 2014, 10, pp.82-91. ⟨10.5427/jsing.2014.10e⟩ Article dans une revue hal-01103220v1
Lê-Greuel type formula for the Euler obstruction and applications Nicolas Dutertre,Nivaldo G. Grulha Jr. Advances in Mathematics, 2014, 251, pp.127-146 Article dans une revue hal-00626791v1
On the topology of stable maps Nicolas Dutertre,Toshizumi Fukui Journal of the Mathematical Society of Japan, 2014, 66 (1), pp.161-203. ⟨10.2669/jmsj/06610161⟩ Article dans une revue hal-00516856v1
Degree formulas and signature formulas for the Euler characteristic of real algebraic sets Nicolas Dutertre Journal of Mathematical Sciences, 2013, 195 (2), pp.8. ⟨10.1007/s10958-013-1569-1⟩ Article dans une revue hal-01218134v1
Euler characteristic and Lipschitz-Killing curvatures of closed semi-algebraic sets Nicolas Dutertre Geometriae Dedicata, 2012, 158 (1), pp.167-189 Article dans une revue hal-00453032v1
On the topology of semi-algebraic functions on closed semi-algebraic sets Nicolas Dutertre Manuscripta mathematica, 2012, 139 (3-4), pp.415-441 Article dans une revue hal-00545183v1
Radial index and Poincaré-Hopf index of 1-forms on semi-analytic sets Nicolas Dutertre Mathematical Proceedings of the Cambridge Philosophical Society, 2010, 148 (2), pp.297-330 Article dans une revue hal-00367729v1
Semi-algebraic neighborhoods of closed semi-algebraic sets Nicolas Dutertre Annales de l'Institut Fourier, 2009, 59 (1), pp.429-458 Article dans une revue hal-00018914v1
On the Euler characteristics of real Milnor fibres of partially parallelizable maps of $(\mathbb{R}^n,0)$ to $(\mathbb{R}^2,0)$ Nicolas Dutertre Kodai Mathematical Journal, 2009, 32, pp.324-351 Article dans une revue hal-00203473v1
A Gauss-Bonnet formula for closed semi-algebraic sets. Nicolas Dutertre Advances in Geometry, 2008, 8, pp.33-51 Article dans une revue hal-00077964v1

Communication dans un congrès (2)

Topological formulas for closed semi-algebraic sets by Euler integration Nicolas Dutertre,Juan Antonio Moya Pérez XIII International Workshop Real and Complex Singularities, Jul 2014, Sao Carlos, Brazil. pp.89-102, ⟨10.1090/conm/675/13585⟩ Communication dans un congrès hal-01481958v1
Topology of the real Milnor fiber for isolated singularities Raimundo N. Araújo dos Santos,Nicolas Dutertre,Daniel Dreibelbis Real and Complex Singularities, XI International Workshop on Real and Complex Singularities, Jul 2010, ICMC, USP, Sao Carlos, Brazil. pp.9, ⟨10.1090/conm/569/11242⟩ Communication dans un congrès hal-01218152v1

Chapitre d'ouvrage (2)

Topology of Real Singularities Nicolas Dutertre Singularities and Foliations. Geometry, Topology and Applications. Brazil-Mexico Meeting on Singularities, Northeastern Brazilian Meeting on Singularities (2015)., 2018 Chapitre d'ouvrage hal-01777412v1
Topology and geometry of real singularities Nicolas Dutertre School on Real and Complex Singularities in Sao carlos, 2012, 2016 Chapitre d'ouvrage hal-01663143v1