Qualité : PR
Equipe : Algèbre et Géométries
Fonctions : Représentant du LAREMA à l'école doctorale
Responsable scientifique de la bibliothèque
Bureau : 209
Téléphone : 02 41 73 54 72
Adresse électronique : nicolas•dutertre@univ-angers•fr
Spécialité : Singularités réelles et complexes, Topologie et géométrie des ensembles sous-analytiques
Equipe : Algèbre et Géométries
Fonctions : Représentant du LAREMA à l'école doctorale
Responsable scientifique de la bibliothèque
Bureau : 209
Téléphone : 02 41 73 54 72
Adresse électronique : nicolas•dutertre@univ-angers•fr
Spécialité : Singularités réelles et complexes, Topologie et géométrie des ensembles sous-analytiques
Publications présentes dans la base HAL :
24 documents
Articles dans une revue
- Nicolas Dutertre. PRINCIPAL KINEMATIC FORMULAS FOR GERMS OF CLOSED DEFINABLE SETS. Advances in Mathematics, 2022, 399, ⟨10.1016/j.aim.2022.108251⟩. ⟨hal-03089027⟩
- Nicolas Dutertre. On the topology of non-isolated real singularities. Journal of Singularities, 2020, Proc. of 15th International Workshop on Singularities, São Carlos, 2018, 22, pp.159-179. ⟨10.5427/jsing.2020.22j⟩. ⟨hal-01985272⟩
- Nicolas Dutertre, Nivaldo Grulha. Global Euler obstruction, global Brasselet numbers and critical points. Proceedings of the Royal Society of Edinburgh: Section A, Mathematics, 2020, 150 (5), pp.2503-2534. ⟨10.1017/prm.2019.30⟩. ⟨hal-02129140⟩
- Nicolas Dutertre. Lipschitz-Killing curvatures and polar images. Advances in Geometry, 2019, 19 (2), pp.205-230. ⟨10.1515/advgeom-2018-0019⟩. ⟨hal-01239927⟩
- Nicolas Dutertre, Raimundo N. Araújo dos Santos. Topology of real Milnor fibration for non-isolated singularities. International Mathematics Research Notices, 2016, 2016 (16), pp.4849-4866. ⟨10.1093/imrn/rnv286⟩. ⟨hal-00757428⟩
- Nicolas Dutertre. Euler obstruction and Lipschitz-Killing curvatures. Israel Journal of Mathematics, 2016, 213, pp.109-137. ⟨10.1007/s11856-016-1322-9⟩. ⟨hal-00995743⟩
- Nicolas Dutertre, Raimundo N. Araújo dos Santos, Ying Chen, Antonio Andrade. Fibrations structure and degree formulae for Milnor fibers. RIMS Kokyuroku Bessatsu, 2016, Theory of singularities of smooth mappings and around it B55, pp.41-65. ⟨hal-01064938⟩
- Nicolas Dutertre, Raimundo N. Araújo dos Santos, Ying Chen, Antonio Andrade. Open book structures on semi-algebraic manifolds. Manuscripta mathematica, 2016, 149 (1), pp.18. ⟨10.1007/s00229-015-0772-4⟩. ⟨hal-01064170v2⟩
- Nicolas Dutertre. Stratified critical points on the real Milnor fibre and integral-geometric formulas. Journal of Singularities, 2015, 13, pp.20. ⟨10.5427/jsing.2015.13e⟩. ⟨hal-00848992⟩
- Nivaldo G. Grulha Jr., Nicolas Dutertre. Some notes on the Euler obstruction of a function. Journal of Singularities, 2014, 10, pp.82-91. ⟨10.5427/jsing.2014.10e⟩. ⟨hal-01103220⟩
- Nicolas Dutertre, Toshizumi Fukui. On the topology of stable maps. Journal of the Mathematical Society of Japan, 2014, 66 (1), pp.161-203. ⟨10.2669/jmsj/06610161⟩. ⟨hal-00516856⟩
- Nicolas Dutertre, Nivaldo G. Grulha Jr.. Lê-Greuel type formula for the Euler obstruction and applications. Advances in Mathematics, 2014, 251, pp.127-146. ⟨hal-00626791⟩
- Nicolas Dutertre. Degree formulas and signature formulas for the Euler characteristic of real algebraic sets. Journal of Mathematical Sciences, 2013, 195 (2), pp.8. ⟨10.1007/s10958-013-1569-1⟩. ⟨hal-01218134⟩
- Nicolas Dutertre. On the topology of semi-algebraic functions on closed semi-algebraic sets. Manuscripta mathematica, 2012, 139 (3-4), pp.415-441. ⟨hal-00545183⟩
- Nicolas Dutertre. Euler characteristic and Lipschitz-Killing curvatures of closed semi-algebraic sets. Geometriae Dedicata, 2012, 158 (1), pp.167-189. ⟨hal-00453032⟩
- Nicolas Dutertre. Radial index and Poincaré-Hopf index of 1-forms on semi-analytic sets. Mathematical Proceedings of the Cambridge Philosophical Society, 2010, 148 (2), pp.297-330. ⟨hal-00367729⟩
- Nicolas Dutertre. Semi-algebraic neighborhoods of closed semi-algebraic sets. Annales de l'Institut Fourier, 2009, 59 (1), pp.429-458. ⟨hal-00018914⟩
- Nicolas Dutertre. On the Euler characteristics of real Milnor fibres of partially parallelizable maps of $(\mathbb{R}^n,0)$ to $(\mathbb{R}^2,0)$. Kodai Mathematical Journal, 2009, 32, pp.324-351. ⟨hal-00203473⟩
- Nicolas Dutertre. A Gauss-Bonnet formula for closed semi-algebraic sets.. Advances in Geometry, 2008, 8, pp.33-51. ⟨hal-00077964⟩
Communications dans un congrès
- Nicolas Dutertre, Juan Antonio Moya Pérez. Topological formulas for closed semi-algebraic sets by Euler integration. XIII International Workshop Real and Complex Singularities, Jul 2014, Sao Carlos, Brazil. pp.89-102, ⟨10.1090/conm/675/13585⟩. ⟨hal-01481958⟩
- Raimundo N. Araújo dos Santos, Nicolas Dutertre, Daniel Dreibelbis. Topology of the real Milnor fiber for isolated singularities. 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⟩. ⟨hal-01218152⟩
Chapitres d'ouvrage
- Nicolas Dutertre. Topology of Real Singularities. Singularities and Foliations. Geometry, Topology and Applications. Brazil-Mexico Meeting on Singularities, Northeastern Brazilian Meeting on Singularities (2015)., 2018. ⟨hal-01777412⟩
- Nicolas Dutertre. Topology and geometry of real singularities. School on Real and Complex Singularities in Sao carlos, 2012, 2016. ⟨hal-01663143⟩
Pré-publications, Documents de travail
- Nicolas Dutertre, Vincent Grandjean. Gauss-Kronecker Curvature and equisingularity at infinity of definable families. 2019. ⟨hal-02308350⟩
Documents récupérés de l'archive ouverte HAL 
