Edit Profile (opens in new tab) Dutertre, Nicolas Co-Author Distance Author ID: dutertre.nicolas Published as: Dutertre, Nicolas; Dutertre, N. Documents Indexed: 41 Publications since 1997, including 2 Additional arXiv Preprints 2 Contributions as Editor Co-Authors: 16 Co-Authors with 17 Joint Publications 154 Co-Co-Authors all top 5 Co-Authors 26 single-authored 5 Araújo dos Santos, Raimundo Nonato 4 Moya-Pérez, Juan Antonio 3 Chen, Ying 3 de Góes Grulha, Nivaldo jun. 2 Andrade do Espirito Santo, Antonio 2 Grandjean, Vincent 2 Murolo, Claudio 1 Andrade, Antonio A. 1 Bekka, Karim 1 Cheniot, Denis 1 Dreibelbis, Daniel 1 du Plessis, Andrew Allan 1 Fukui, Toshizumi 1 Pichon, Anne 1 Trotman, David John Angelo 1 Valette, Guillaume all top 5 Serials 4 Manuscripta Mathematica 4 Journal of Singularities 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Advances in Mathematics 2 Commentarii Mathematici Helvetici 2 Geometriae Dedicata 2 Glasgow Mathematical Journal 2 Journal of Pure and Applied Algebra 2 Kodai Mathematical Journal 2 Advances in Geometry 1 Israel Journal of Mathematics 1 Annales de l’Institut Fourier 1 Hokkaido Mathematical Journal 1 Journal of the Mathematical Society of Japan 1 International Journal of Mathematics 1 IMRN. International Mathematics Research Notices 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Mathematical Sciences (New York) 1 The Asian Journal of Mathematics 1 Revista Matemática Complutense 1 Bulletin of the Brazilian Mathematical Society. New Series 1 RIMS Kôkyûroku Bessatsu all top 5 Fields 30 Algebraic geometry (14-XX) 21 Several complex variables and analytic spaces (32-XX) 21 Global analysis, analysis on manifolds (58-XX) 6 Differential geometry (53-XX) 6 Manifolds and cell complexes (57-XX) 2 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Real functions (26-XX) Publications by Year all cited Publications top 5 cited Publications 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 all cited Publications top 5 cited Publications all top 5 Cited by 57 Authors 19 Dutertre, Nicolas 5 Araújo dos Santos, Raimundo Nonato 5 de Góes Grulha, Nivaldo jun. 5 Seade, Jose Antonio 4 Moya-Pérez, Juan Antonio 4 Ribeiro, Maico F. 3 Cisneros-Molina, José Luis 3 Ruiz, Camila M. 3 Santana, Hellen 3 Tibăr, Mihai-Marius 2 Dalbelo, Thaís Maria 2 Dias, Luis Renato Gonçalves 2 Souza, Taciana O. 2 Szafraniec, Zbigniew 1 Ament, Daiane Alice Henrique 1 Andrade do Espirito Santo, Antonio 1 Basu, Saugata 1 Brasselet, Jean-Paul 1 Callejas-Bedregal, Roberto 1 Chen, Ying 1 Cibotaru, Daniel Florentiu 1 Da Silva Pereira, Miriam 1 Dasu, Shival 1 Dinh, Si Tiep 1 do Espírito Santo, Antonio A. 1 Dreibelbis, Daniel 1 Ebeling, Wolfgang 1 Funar, Louis 1 Gusein-Zade, Sabir M. 1 Hartmann, Luiz 1 Hohlenwerger, Maria A. B. 1 Krzyżanowska, Iwona 1 Marcolli, Matilde 1 Martins, Rodrigo S. V. 1 Massey, David Bradley 1 Menegon Neto, Aurélio 1 Morgado, Michelle F. Z. 1 Moroianu, Sergiu 1 Nabeshima, Katsusuke 1 Nguyen, Nhan T. 1 Nuño-Ballesteros, Juan José 1 Phạm Tiên So’n 1 Pintea, Cornel 1 Popescu-Pampu, Patrick 1 Reis, Fernando P. P. 1 Riener, Cordian 1 Saeki, Osamu 1 Saji, Kentaro 1 Solanes, Gil 1 Sorea, Miruna-Ştefana 1 Tajima, Shinichi 1 Tanabé, Susumu 1 Tomazella, João Nivaldo 1 Valette, Guillaume 1 van Straten, Duco 1 Warmt, Thorsten 1 Ipanaque Zapata, Cesar Augusto all top 5 Cited in 30 Serials 8 Bulletin of the Brazilian Mathematical Society. New Series 3 Annales de l’Institut Fourier 3 Manuscripta Mathematica 3 International Journal of Mathematics 3 Journal of Singularities 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Advances in Mathematics 2 Journal of the Mathematical Society of Japan 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Bulletin des Sciences Mathématiques 2 Advances in Geometry 1 Israel Journal of Mathematics 1 Journal of Geometry and Physics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Bulletin of the London Mathematical Society 1 Geometriae Dedicata 1 Glasgow Mathematical Journal 1 Journal of Pure and Applied Algebra 1 Kodai Mathematical Journal 1 Mathematische Zeitschrift 1 Michigan Mathematical Journal 1 Topology and its Applications 1 Journal of Symbolic Computation 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Journal of Mathematical Sciences (New York) 1 Foundations of Computational Mathematics 1 Mathematics in Computer Science 1 European Journal of Mathematics 1 Winter Braids Lecture Notes all top 5 Cited in 12 Fields 37 Several complex variables and analytic spaces (32-XX) 36 Algebraic geometry (14-XX) 25 Global analysis, analysis on manifolds (58-XX) 14 Manifolds and cell complexes (57-XX) 8 Differential geometry (53-XX) 1 History and biography (01-XX) 1 \(K\)-theory (19-XX) 1 Real functions (26-XX) 1 Algebraic topology (55-XX) 1 Numerical analysis (65-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year