Polynomials and Vanishing Cycles (Cambridge Tracts in Mathematics)

Mihai Tibar

ISBN 10: 0521829208 ISBN 13: 9780521829205
Edité par Cambridge University Press, 2007
Ancien(s) ou d'occasion Couverture rigide

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2007. 1st Edition Hardcover. Slight Shelf Wear; Otherwise, Fine. Dust Jacket is Fine. N° de réf. du vendeur A09780

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The behaviour of vanishing cycles is the cornerstone for understanding the geometry and topology of families of hypersurfaces, usually regarded as singular fibrations. This self-contained tract proposes a systematic geometro-topological approach to vanishing cycles, especially those appearing in non-proper fibrations, such as the fibration defined by a polynomial function. Topics which have been the object of active research over the past 15 years, such as holomorphic germs, polynomial functions, and Lefschetz pencils on quasi-projective spaces, are here shown in a new light: conceived as aspects of a single theory with vanishing cycles at its core. Throughout the book the author presents the current state of the art. Transparent proofs are provided so that non-specialists can use this book as an introduction, but all researchers and graduate students working in differential and algebraic topology, algebraic geometry, and singularity theory will find this book of great use.

À propos de l?auteur: Mihair Tibar is a Professor in the Mathematics Department at the Université des Sciences et Technologies de Lille, France.

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Titre : Polynomials and Vanishing Cycles (Cambridge ...
Éditeur : Cambridge University Press
Date d'édition : 2007
Reliure : Couverture rigide
Etat : Used - Like New
Etat de la jaquette : Jaquette
Edition : Edition originale

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ISBN 10 : 0521829208 ISBN 13 : 9780521829205
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Etat : Fine. First edition. Hardback. Octavo. xii, 253pp. Original blue boards with gilt titles. A fine and unread copy in dust jacket. N° de réf. du vendeur C86571

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Mihai Tibar
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Hardcover. Etat : new. Hardcover. The behaviour of vanishing cycles is the cornerstone for understanding the geometry and topology of families of hypersurfaces, usually regarded as singular fibrations. This self-contained tract proposes a systematic geometro-topological approach to vanishing cycles, especially those appearing in non-proper fibrations, such as the fibration defined by a polynomial function. Topics which have been the object of active research over the past 15 years, such as holomorphic germs, polynomial functions, and Lefschetz pencils on quasi-projective spaces, are here shown in a new light: conceived as aspects of a single theory with vanishing cycles at its core. Throughout the book the author presents the current state of the art. Transparent proofs are provided so that non-specialists can use this book as an introduction, but all researchers and graduate students working in differential and algebraic topology, algebraic geometry, and singularity theory will find this book of great use. A systematic geometro-topological approach to vanishing cycles appearing in non-proper fibrations is proposed in this tract. Lefschetz theory, complex Morse theory and singularities of hypersurfaces are presented in detail leading to the latest research on topics such as the topology of singularities of meromorphic functions and non-generic Lefschetz pencils. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. N° de réf. du vendeur 9780521829205

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Mihai Tibar
ISBN 10 : 0521829208 ISBN 13 : 9780521829205
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Hardcover. Etat : new. Hardcover. The behaviour of vanishing cycles is the cornerstone for understanding the geometry and topology of families of hypersurfaces, usually regarded as singular fibrations. This self-contained tract proposes a systematic geometro-topological approach to vanishing cycles, especially those appearing in non-proper fibrations, such as the fibration defined by a polynomial function. Topics which have been the object of active research over the past 15 years, such as holomorphic germs, polynomial functions, and Lefschetz pencils on quasi-projective spaces, are here shown in a new light: conceived as aspects of a single theory with vanishing cycles at its core. Throughout the book the author presents the current state of the art. Transparent proofs are provided so that non-specialists can use this book as an introduction, but all researchers and graduate students working in differential and algebraic topology, algebraic geometry, and singularity theory will find this book of great use. A systematic geometro-topological approach to vanishing cycles appearing in non-proper fibrations is proposed in this tract. Lefschetz theory, complex Morse theory and singularities of hypersurfaces are presented in detail leading to the latest research on topics such as the topology of singularities of meromorphic functions and non-generic Lefschetz pencils. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N° de réf. du vendeur 9780521829205

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