Computations and Combinatorics in Commutative Algebra EACA School, V
Featuring up-to-date coverage of three topics lying at the intersection of combinatorics and commutative algebra, namely Koszul algebras, primary decompositions and subdivision operations in simplicial complexes, this book has its focus on computations.&n
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Anna M. Bigatti Philippe Gimenez Eduardo Sáenz-de-Cabezón Editors
Computations and Combinatorics in Commutative Algebra EACA School, Valladolid 2013
Lecture Notes in Mathematics Editors-in-Chief: J.-M. Morel, Cachan B. Teissier, Paris Advisory Board: Camillo De Lellis, Zurich Mario di Bernardo, Bristol Michel Brion, Grenoble Alessio Figalli, Zurich Davar Khoshnevisan, Salt Lake City Ioannis Kontoyiannis, Athens Gábor Lugosi, Barcelona Mark Podolskij, Aarhus Sylvia Serfaty, New York Anna Wienhard, Heidelberg
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More information about this series at http://www.springer.com/series/304
Anna M. Bigatti • Philippe Gimenez • Eduardo Sáenz-de-Cabezón Editors
Computations and Combinatorics in Commutative Algebra EACA School, Valladolid 2013
123
Editors Anna M. Bigatti Dipartimento di Matematica UniversitJa degli Studi di Genova Genova, Italy
Philippe Gimenez Instituto de Investigación en Matemáticas (IMUVA) Universidad de Valladolid Valladolid, Spain
Eduardo Sáenz-de-Cabezón Departamento de Matemáticas y Computación Universidad de La Rioja LogroQno, Spain
ISSN 0075-8434 Lecture Notes in Mathematics ISBN 978-3-319-51318-8 DOI 10.1007/978-3-319-51319-5
ISSN 1617-9692 (electronic) ISBN 978-3-319-51319-5 (eBook)
Library of Congress Control Number: 2017934522 Mathematics Subject Classification (2010): 13-02, 13P99, 68W30, 05E40, 05E45 © Springer International Publishing AG 2017 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 Springer Nature The registered company is Springer International Publishing AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
Introduction
This is a book on combinatorial commutative algebra, more precisely, it describes some applications of the combinatorics of monomial ideals to more general results in commutative algebra. It covers three
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