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[null,"1.","Record Nr.",null,"UNISA996466494003316"]
[null,null,"Autore",null,"Brasselet Jean-Paul"]
[null,null,"Titolo",null,"Vector fields on Singular Varieties [[electronic resource] /] / by Jean-Paul Brasselet, José Seade, Tatsuo Suwa"]
[null,null,"Pubbl/distr/stampa",null,"Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2009"]
[null,null,"ISBN",null,"3-642-05205-3"]
[null,null,"Edizione",null,"[1st ed. 2009.]"]
[null,null,"Descrizione fisica",null,"1 online resource (XX, 232 p.)"]
[null,null,"Collana",null,"Lecture Notes in Mathematics, , 0075-8434 ; ; 1987"]
[null,null,"Disciplina",null,"515.94"]
[null,null,"Soggetti",null,"Functions of complex variables"]
[{"$nulls":4},"Dynamics"]
[{"$nulls":4},"Ergodic theory"]
[{"$nulls":4},"Manifolds (Mathematics)"]
[{"$nulls":4},"Complex manifolds"]
[{"$nulls":4},"Global analysis (Mathematics)"]
[{"$nulls":4},"Algebraic geometry"]
[{"$nulls":4},"Several Complex Variables and Analytic Spaces"]
[{"$nulls":4},"Dynamical Systems and Ergodic Theory"]
[{"$nulls":4},"Manifolds and Cell Complexes (incl. Diff.Topology)"]
[{"$nulls":4},"Global Analysis and Analysis on Manifolds"]
[{"$nulls":4},"Algebraic Geometry"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Bibliographic Level Mode of Issuance: Monograph"]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"The Case of Manifolds -- The Schwartz Index -- The GSV Index -- Indices of Vector Fields on Real Analytic Varieties -- The Virtual Index -- The Case of Holomorphic Vector Fields -- The Homological Index and Algebraic Formulas -- The Local Euler Obstruction -- Indices for 1-Forms -- The Schwartz Classes -- The Virtual Classes -- Milnor Number and Milnor Classes -- Characteristic Classes of Coherent Sheaves on Singular Varieties."]
[null,null,null,"Sommario/riassunto","Vector fields on manifolds play a major role in mathematics and other sciences. In particular, the Poincaré-Hopf index theorem gives rise to the theory of Chern classes, key manifold-invariants in geometry and topology. It is natural to ask what is the ‘good’ notion of the index of a vector field, and of Chern classes, if the underlying space becomes singular. The question has been explored by several authors resulting "]
[{"$nulls":4},"in various answers, starting with the pioneering work of M.-H. Schwartz and R. MacPherson. We present these notions in the framework of the obstruction theory and the Chern-Weil theory. The interplay between these two methods is one of the main features of the monograph."]