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Record Nr. |
UNINA9910483981803321 |
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Autore |
Brasselet Jean-Paul |
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Titolo |
Vector fields on Singular Varieties [[electronic resource] /] / by Jean-Paul Brasselet, José Seade, Tatsuo Suwa |
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Pubbl/distr/stampa |
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Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2009 |
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ISBN |
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Edizione |
[1st ed. 2009.] |
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Descrizione fisica |
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1 online resource (XX, 232 p.) |
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Collana |
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Lecture Notes in Mathematics, , 0075-8434 ; ; 1987 |
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Disciplina |
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Soggetti |
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Functions of complex variables |
Dynamics |
Ergodic theory |
Manifolds (Mathematics) |
Complex manifolds |
Global analysis (Mathematics) |
Algebraic geometry |
Several Complex Variables and Analytic Spaces |
Dynamical Systems and Ergodic Theory |
Manifolds and Cell Complexes (incl. Diff.Topology) |
Global Analysis and Analysis on Manifolds |
Algebraic Geometry |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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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. |
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Sommario/riassunto |
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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 |
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