Found 111 Documents (Results 1–100)
Linear optimization on varieties and Chern-Mather classes. (English) Zbl 1539.14009
Reviewer: Jianqiang Yang (Mengzi)
Mather classes and conormal spaces of Schubert varieties in cominuscule spaces. (English) Zbl 1528.14009
Reviewer: Evgeny Smirnov (Moskva)
About relative polar varieties and Brasselet numbers. (English. French summary) Zbl 1522.32066
MSC:
32S25
Some notes on the local topology of a deformation of a function-germ with a one-dimensional critical set. (English) Zbl 1523.32051
Characteristic classes. (English) Zbl 1506.14001
Cisneros-Molina, José Luis (ed.) et al., Handbook of geometry and topology of singularities III. Cham: Springer. 303-417 (2022).
Reviewer: Richárd Rimányi (Chapel Hill)
Motivic virtual signed Euler characteristics and their applications to Vafa-Witten invariants. (English) Zbl 1513.14020
The geometrical information encoded by the Euler obstruction of a map. (English) Zbl 1486.14011
Reviewer: Aleksandr G. Aleksandrov (Moskva)
A Morse theoretic approach to non-isolated singularities and applications to optimization. (English) Zbl 1475.13054
Reviewer: Aleksandr G. Aleksandrov (Moskva)
Local Euler obstructions and Chern-Mather classes of determinantal varieties. (English) Zbl 1476.14015
Reviewer: Niels Feld (Toulouse)
Brasselet number and function-germs with a one-dimensional critical set. (English) Zbl 1471.32052
MSC:
32S55
Rationality of descendent series for Hilbert and Quot schemes of surfaces. (English) Zbl 1461.14008
Reviewer: Scott Nollet (Fort Worth)
Global Euler obstruction, global Brasselet numbers and critical points. (English) Zbl 1467.32005
Reviewer: Athanase Papadopoulos (Strasbourg)
Defect of Euclidean distance degree. (English) Zbl 1457.13053
Reviewer: Hans-Peter Schröcker (Innsbruck)
Localizing virtual structure sheaves for almost perfect obstruction theories. (English) Zbl 1457.14120
Reviewer: Feng Qu (Wuhan)
Vafa-Witten invariants for projective surfaces. I: Stable case. (English) Zbl 1460.53027
Reviewer: Mihail Banaru (Smolensk)
Characteristic cycles and the relative local Euler obstruction. (English) Zbl 1442.32014
Castro-Jiménez, Francisco-Jesús (ed.) et al., A panorama of singularities. A panorama on singular varieties. Conference to celebrate Lê Dũng Tráng’s 70th birthday, University of Seville, IMUS, Spain, February 7–10, 2017. Providence, RI: American Mathematical Society (AMS); Madrid: Real Sociedad Matemática Española (RSME). Contemp. Math. 742, 137-156 (2020).
Brasselet number and Newton polygons. (English) Zbl 1456.14062
Reviewer: Tadeusz Krasiński (Łódź)
Euclidean distance degree of the multiview variety. (English) Zbl 1437.13049
Reviewer: Hans-Peter Schröcker (Innsbruck)
Alternative algorithms for computing generic \(\mu^\ast\)-sequences and local Euler obstructions of isolated hypersurface singularities. (English) Zbl 1423.13097
Reviewer: Gerhard Pfister (Kaiserslautern)
An implementation of the Lê-Teissier method for computing local Euler obstructions. (English) Zbl 1474.32048
The local Euler obstruction and topology of the stabilization of associated determinantal varieties. (English) Zbl 1430.14014
Reviewer: Jan Stevens (Göteborg)
On the polar varieties of ruled hypersurfaces. (English) Zbl 1402.14046
Reviewer: Edoardo Ballico (Povo)
Euler obstruction of essentially isolated determinantal singularities. (English) Zbl 1391.14096
Reviewer: Jan Stevens (Göteborg)
Local Euler obstructions of toric varieties. (English) Zbl 1402.14067
Reviewer: Christos Tatakis (Mitilini)
Chern classes and transversality for singular spaces. (English) Zbl 1427.14015
Cisneros-Molina, José Luis (ed.) et al., Singularities in geometry, topology, foliations and dynamics. A celebration of the 60th birthday of José Seade. Selected papers based on the presentations at the workshop, Mérida, Mexico, December 8–19, 2014. Cham: Birkhäuser. Trends Math., 207-231 (2017).
An equivariant version of the Euler obstruction. (English) Zbl 1380.32011
Reviewer: Tien-Son Pham (Dalat)
The Euler obstruction of a function on a determinantal variety and on a curve. (English) Zbl 1368.32013
Multitoric surfaces and Euler obstruction of a function. (English) Zbl 1359.32021
Reviewer: Jan Stevens (Göteborg)
Euler obstruction and Lipschitz-Killing curvatures. (English) Zbl 1359.32005
Reviewer: Zofia Denkowska (Angers)
Toric surfaces, vanishing Euler characteristic and Euler obstruction of a function. (English. French summary) Zbl 1333.14005
Reviewer: Marko Roczen (Berlin)
Some notes on the Euler obstruction of a function. (English) Zbl 1318.14006
Reviewer: Gerhard Pfister (Kaiserslautern)
Lê-Greuel type formula for the Euler obstruction and applications. (English) Zbl 1291.14009
Reviewer: Alexandru Dimca (Nice)
The moduli space of thickenings. (English) Zbl 1278.57032
Reviewer: Jonathan Hodgson (Swarthmore)
Euler obstruction and polar multiplicities of images of finite morphisms on ICIS. (English) Zbl 1255.32011
Reviewer: Gerhard Pfister (Kaiserslautern)
Stability of the Euler obstruction of a function. (English) Zbl 1258.14003
Reviewer: Gerhard Pfister (Kaiserslautern)
Finiteness obstructions and Euler characteristics of categories. (English) Zbl 1242.18014
Reviewer: Lisbeth Fajstrup (Aalborg)
Local Euler obstruction, old and new. II. (English) Zbl 1227.32036
Manoel, M. (ed.) et al., Real and complex singularities. Selected papers of the 10th international workshop held at the University of São Paulo (ICMC-USP), São Carlos, Brazil, July 27–August 2, 2008. Cambridge: Cambridge University Press (ISBN 978-0-521-16969-1/pbk). London Mathematical Society Lecture Note Series 380, 23-45 (2010).
Reviewer: Jan Stevens (Göteborg)
The Euler obstruction and the Chern obstruction. (English) Zbl 1207.14006
Reviewer: Alexandru Dimca (Nice)
Newton polyhedra of discriminants of projections. (English) Zbl 1273.14105
Reviewer: Serge Lawrencenko (Moskva)
Donaldson-Thomas type invariants via microlocal geometry. (English) Zbl 1191.14050
Reviewer: Vehbi Emrah Paksoy (Ft. Lauderdale)
Vector fields on singular varieties. (English) Zbl 1189.32001
Lecture Notes in Mathematics 1987. Berlin: Springer (ISBN 978-3-642-05204-0/pbk; 978-3-642-05205-7/ebook). xx, 225 p. (2009).
Reviewer: Július Korbaš (Bratislava)
The Euler obstruction and Bruce-Roberts’ Milnor number. (English) Zbl 1185.32020
Q. J. Math. 60, No. 3, 291-302 (2009); erratum ibid. 63, No. 1, 257-258 (2012).
Reviewer: Jan Stevens (Göteborg)
Obstruction theory in algebra and topology. (English) Zbl 1171.13008
Reviewer: N. Mohan Kumar (St. Louis)
Invariants of \(D(q,p)\) singularities. (English) Zbl 1157.32025
Saia, Marcelo J. (ed.) et al., Real and complex singularities. Proceedings of the 9th international workshop, ICMC-USP, São Carlos, Brazil, July 23–28, 2006. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4497-7/pbk). Contemporary Mathematics 459, 13-22 (2008).
Reviewer: Anne Frühbis-Krüger (Hannover)
Topological Radon transforms and degree formulas for dual varieties. (English) Zbl 1141.14002
Reviewer: Alexandru Dimca (Nice)
The Lê numbers of the square of a function and their applications. (English) Zbl 1140.14002
Reviewer: Andras Nemethi (Budapest)
Proportionality of indices of 1-forms on singular varieties. (English) Zbl 1135.32032
Brasselet, Jean-Paul (ed.) et al., Singularities in geometry and topology 2004. Proceedings of the 3rd Franco-Japanese colloquium on singularities, Hokkaido, Japan, September 13–18, 2004. Tokyo: Mathematical Society of Japan (ISBN 978-4-931469-39-6/hbk). Advanced Studies in Pure Mathematics 46, 49-65 (2007).
Reviewer: Jan Stevens (Göteborg)
Chern obstructions for collections of 1-forms on singular varieties. (English) Zbl 1130.32011
Chéniot, Denis (ed.) et al., Singularity theory. Proceedings of the 2005 Marseille singularity school and conference, CIRM, Marseille, France, January 24–February 25, 2005. Dedicated to Jean-Paul Brasselet on his 60th birthday. Singapore: World Scientific (ISBN 978-981-270-410-8/hbk). 557-564 (2007).
Reviewer: Aleksandr G. Aleksandrov (Moskva)
Poincaré-Hopf theorems on singular varieties. (English) Zbl 1138.32016
Brasselet, Jean-Paul (ed.) et al., Singularities in geometry and topology. Proceedings of the Trieste singularity summer school and workshop, ICTP, Trieste, Italy, August 15–September 3, 2005. Hackensack, NJ: World Scientific (ISBN 978-981-270-022-3/hbk). 57-80 (2007).
Reviewer: Viorel Vâjâitu (Bucureşti)
Whitney equisingularity, Euler obstruction and invariants of map germs from \(\mathbb C^n\) and \(\mathbb C^3\), \(n>3\). (English) Zbl 1122.58024
Brasselet, Jean-Paul (ed.) et al., Real and complex singularities, São Carlos workshop 2004. Papers of the 8th workshop, Marseille, France, July 19–23, 2004. Basel: Birkhäuser (ISBN 3-7643-7775-5/hbk). Trends in Mathematics, 263-287 (2007).
Reviewer: Vincent Thilliez (Villeneuve d’Ascq)
Polynomials and vanishing cycles. (English) Zbl 1126.32026
Cambridge Tracts in Mathematics 170. Cambridge: Cambridge University Press (ISBN 978-0-521-82920-5/hbk). xii, 253 p. (2007).
Reviewer: Aleksandr G. Aleksandrov (Moskva)
Homotopy idempotents on manifolds and Bass’ conjectures. (English) Zbl 1104.19004
Ando, Matthew (ed.) et al., Proceedings of the Nishida Fest conferences on homotopy theory, Kinosaki, Japan, July 28–August 1 2003 and August 4–8, 2003. Dedicated to Gôrô Nishida on the occasion of his 60th birthday. Coventry: Geometry & Topology Publications. Geometry and Topology Monographs 10, 41-62 (2007).
The Euler characteristic and finiteness obstruction of manifolds with periodic ends. (English) Zbl 1126.58011
Reviewer: Peter Haskell (Blacksburg)
Indices of vector fields and 1-forms on singular varieties. (English) Zbl 1124.32012
Catanese, Fabrizio (ed.) et al., Global aspects of complex geometry. Berlin: Springer (ISBN 3-540-35479-4/hbk). 129-169 (2006).
Reviewer: Aleksandr G. Aleksandrov (Moskva)
Euler obstruction, polar multiplicities and equisingularity of map germs in \(\mathcal{O}(n,p), n < p\). (English) Zbl 1108.58029
On the Euler characteristic of measured foliations. (Sur la caractéristique d’Euler des feuilletages mesurés.) (French) Zbl 1099.57025
Reviewer: Andrzej Piatkowski (Łódź)
Milnor numbers and Euler obstruction. (English) Zbl 1082.32018
Reviewer: Gerhard Pfister (Kaiserslautern)
Euler obstruction and defects of functions on singular varieties. (English) Zbl 1052.32026
Reviewer: Edoardo Ballico (Povo)
Local Euler obstruction, old and new. (English) Zbl 1007.32007
Firmo, S. (ed.) et al., Proceedings of the XI Brazilian topology meeting, Rio Claro, Brazil, August 3-7, 1998. Singapore: World Scientific. 140-147 (2000).
Reviewer: Carles Biviá-Ausina (Alcoi)
Cellular morphism and bivariant Chern classes. (Morphisme cellulaire et classes de Chern bivariantes.) (French) Zbl 1006.32010
MSC:
32C18
The Borsuk-Ulam property for cyclic groups. (English) Zbl 0998.57059
Reviewer: Juan Antonio Pérez (Zacatecas)
Euler obstruction and indices of vector fields. (English) Zbl 0983.32030
Reviewer: Edoardo Ballico (Povo)
Radial vector fields and the Poincaré-Hopf theorem. (English) Zbl 0983.58004
Delzell, Charles N. (ed.) et al., Real algebraic geometry and ordered structures. AMS special session, Baton Rouge, LA, USA, April 17-21, 1996 and the associated special semester at Louisiana State University and Southern University, Baton Rouge, LA, USA, January-May 1996. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 253, 25-30 (2000).
Reviewer: Sebastian Goette (Tübingen)
An obstruction to the existence of Einstein metrics on 4-manifolds. (English) Zbl 0920.53026
Reviewer: M.Hotloś (Wrocław)
A remark on the Chern classes of local complete intersections. (English) Zbl 0902.32017
Reviewer: A.G.Aleksandrov (Moskva)
Projective and Hilbert modules over group algebras, and finitely dominated spaces. (English) Zbl 0869.57025
Comment. Math. Helv. 71, No. 3, 453-462 (1996); addendum ibid. 72, No. 2, 329 (1997).
Reviewer: H.J.Munkholm (Odense)
Macpherson-Chern classes and characteristic polar cycles. (English) Zbl 0902.32019
Reviewer: A.G.Aleksandrov (Moskva)
Nonorientable 4-manifolds with fundamental group of order 2. (English) Zbl 0830.57012
Reviewer: T.Lawson (New Orleans)
MSC:
57N13
57S17
A characterization of a primary obstruction of the existence of sections in fiber bundles. (Portuguese. English summary) Zbl 0824.55009
MSC:
55S40
Finiteness obstructions of equivariant fibrations. (English) Zbl 0749.57006
Reviewer: K.H.Dovermann (Honolulu)
An extension of Deligne-Grothendieck-MacPherson’s theory \(C_ *\) of Chern classes for singular algebraic varieties. (English) Zbl 0769.57016
Reviewer: J.Stevens (Hamburg)
Rational homotopy theory and differential forms. (Ratsional’naya teoriya gomotopij i differentsial’nye formy). Transl. from the English by A. V. Pazhitnov. Transl. ed. by A. S. Mishchenko. (Ratsional’naya teoriya gomotopij i differentsial’nye formy.) (Russian) Zbl 0712.55001
Moskva: Nauka. 184 p. R. 2.30 (1990).
Algebraic \(K\)-theory and transformation groups. (Habil.-Schr.). (English) Zbl 0709.57024
Göttingen: Univ. Göttingen, 443 p. (1989).
Reviewer: T.tom Dieck
Transformation groups and algebraic \(K\)-theory. (English) Zbl 0679.57022
Lecture Notes in Mathematics, 1408, Subseries: Mathematica Gottingensis. Berlin etc.: Springer-Verlag. xii, 443 p. DM 69.00 (1989).
Reviewer: R.E.Stong
Cycles Lagrangiens, fonctions constructibles et applications. (Lagrangian cycles, constructive functions and applications). (French) Zbl 0706.58066
Sémin. Équations Dériv. Partielles 1988-1989, Exp. No. 11, 9 p. (1989).
Reviewer: P.Schapira
Cycles polaires et classes de Chern pour les variétés projectives singulières. (On polar cycles and Chern classes of singular projective varieties). (French) Zbl 0688.14003
Introduction à la théorie des singularités. II: Méthodes algébriques et géométriques, Trav. Cours 37, 7-34 (1988).
Reviewer: R.Piene
A rational torsion invariant. (English) Zbl 0646.57023
Reviewer: J.Oprea
The geometric finiteness obstruction. (English) Zbl 0626.57011
Reviewer: K.Pawałowski
A rational torsion invariant. (English) Zbl 0593.57011
Math. Gottingensis, Schriftenr. Sonderforschungsbereichs Geom. Anal. 43, 8 p. (1985).
Line fields with branch defects. (English) Zbl 0588.55014
Reviewer: D.Erle
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