Commutative Algebra and its Interactions to Algebraic Geometry VIASM
This book presents four lectures on recent research in commutative algebra and its applications to algebraic geometry. Aimed at researchers and graduate students with an advanced background in algebra, these lectures were given during the Commutative Alge
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Nguyen Tu CUONG · Le Tuan HOA Ngo Viet TRUNG Editors
Commutative Algebra and its Interactions to Algebraic Geometry VIASM 2013–2014
Lecture Notes in Mathematics Editors-in-Chief: Jean-Michel Morel, Cachan Bernard Teissier, Paris Advisory Board: Michel Brion, Grenoble Camillo De Lellis, Princeton Alessio Figalli, Zurich Davar Khoshnevisan, Salt Lake City Ioannis Kontoyiannis, Athens Gábor Lugosi, Barcelona Mark Podolskij, Aarhus Sylvia Serfaty, New York AnnaWienhard, Heidelberg
More information about this series at http://www.springer.com/series/304
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Nguyen Tu CUONG • Le Tuan HOA • Ngo Viet TRUNG Editors
Commutative Algebra and its Interactions to Algebraic Geometry VIASM 2013–2014
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Editors Nguyen Tu CUONG Institute of Mathematics Vietnam Academy of Science and Technology Hanoi, Vietnam
Le Tuan HOA Institute of Mathematics Vietnam Academy of Science and Technology Hanoi, Vietnam
Ngo Viet TRUNG Institute of Mathematics Vietnam Academy of Science and Technology Hanoi, Vietnam
ISSN 0075-8434 ISSN 1617-9692 (electronic) Lecture Notes in Mathematics ISBN 978-3-319-75564-9 ISBN 978-3-319-75565-6 (eBook) https://doi.org/10.1007/978-3-319-75565-6 Library of Congress Control Number: 2018942527 Mathematics Subject Classification (2010): 13-XX, 14-XX © Springer International Publishing AG, part of Springer Nature 2018 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, express 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. Printed on acid-free paper This Springer imprint is published by the registered company Springer International Publishing AG part of Springer Nature. The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
Preface
This collection of notes is based on four lectures given during the programme Commutative Algebra at the Vietnam Institute of Advanced Study in Mathematics in the winter semester 2013–2014. The lectures provide introductions to recent research topics in Co
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