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Record Nr. |
UNISA996466494003316 |
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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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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 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. |
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2. |
Record Nr. |
UNINA9910792964903321 |
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Titolo |
Boundaries, phases and interfaces : case studies in honor of Violeta Demonte / / edited by Olga Fernandez-Soriano, Elena Castroviejo Miró, Isabel Pérez-Jiménez |
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Pubbl/distr/stampa |
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Amsterdam, [Netherlands] ; ; Philadelphia, [Pennsylvania] : , : John Benjamins Publishing Company, , 2017 |
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©2017 |
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Descrizione fisica |
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1 online resource (379 pages) |
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Collana |
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Linguistik Aktuell, , 0166-0829 ; ; Volume 239 = Linguistics Today |
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Disciplina |
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Soggetti |
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Generative grammar |
Language and languages - Grammar |
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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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Nota di bibliografia |
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Includes bibliographical references at the end of each chapters and index. |
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Sommario/riassunto |
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This book approaches the concept of boundary, central in linguistic theory, and the related notion of phase from the perspective of the interaction between syntax and its interfaces. A primary notion is that phases are the appropriate domains to explain most interface linguistic phenomena and that the study of (narrow) interfaces helps to understand conditions on the internal structure of the Language Faculty. The first part of this volume is dedicated to introducing the notion of boundary, cycle and phase, and also the current debates regarding internal interfaces, in particular, the syntax-phonology, |
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syntax-semantics, syntax-discourse, syntax-morphology and syntax-lexicon interfaces, in order to show how the notion of boundary/phase is related to (or even determines) most of their characteristics. The four sections of the second part deal with (morpho)phonology/ syntax and the role or boundaries/phases; the syntax-discourse and syntax-semantics interface; and the lexicon-syntax interface, while the notion of boundary/phase cross-cuts the main topics addressed. |
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