Distinguished Bases and Monodromy of Complex Hypersurface Singularities
We give a survey on some aspects of the topological investigation of isolated singularities of complex hypersurfaces by means of Picard-Lefschetz theory. We focus on the concept of distinguished bases of vanishing cycles and the concept of monodromy.
- PDF / 12,849,481 Bytes
- 614 Pages / 439.42 x 683.15 pts Page_size
- 6 Downloads / 177 Views
of Geometry and Topology of Singularities I
Handbook of Geometry and Topology of Singularities I
José Luis Cisneros Molina • D˜ung Tráng Lê • José Seade Editors
Handbook of Geometry and Topology of Singularities I
Editors José Luis Cisneros Molina Unidad Cuernavaca Instituto de Matemáticas Universidad Nacional Autónoma de México Cuernavaca, Mexico
D˜ung Tráng Lê Centre de Mathématiques et Informatique Université d’Aix-Marseille Marseille, France
Unidad Mixta Internacional 2001 CNRS Laboratorio Solomon Lefschetz Cuernavaca, Mexico José Seade Instituto de Matemáticas Universidad Nacional Autónoma de México Mexico City, Mexico Unidad Mixta Internacional 2001 CNRS Laboratorio Solomon Lefschetz Cuernavaca, Mexico
ISBN 978-3-030-53060-0 ISBN 978-3-030-53061-7 (eBook) https://doi.org/10.1007/978-3-030-53061-7 Mathematics Subject Classification: M11019, M11132, M12198, M21022, M21050, M28027,17B45 © Springer Nature Switzerland AG 2020 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors, and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, expressed or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. This Springer imprint is published by the registered company Springer Nature Switzerland AG. The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
Foreword
In the general scientific culture, Mathematics can appear as quite disconnected. One knows about calculus, complex numbers, Fermat’s last theorem, convex optimization, fractals, vector fields and dynamical systems, the law of large numbers, projective geometry, vector bundles, the Fourier transform and wavelets, the stationary phase method, numerical solutions of PDEs, etc., but no connection between them is readily apparent. For the mathematician, however, all these and many others are lineaments of a single landscape. Although he or she may spend most of his or her time studying one area of this landscape, the mathematician is conscious of the possibility of traveling to other places, perhaps at th
Data Loading...
