Minimal Free Resolutions over Complete Intersections
This book introduces a theory of higher matrix factorizations for regular sequences and uses it to describe the minimal free resolutions of high syzygy modules over complete intersections. Such resolutions have attracted attention ever since the eleg
- PDF / 1,784,383 Bytes
- 113 Pages / 439.42 x 666.14 pts Page_size
- 92 Downloads / 205 Views
David Eisenbud Irena Peeva
Minimal Free Resolutions over Complete Intersections
Lecture Notes in Mathematics Editors-in-Chief: J.-M. Morel, Cachan B. Teissier, Paris Advisory Board: Camillo De Lellis, Zurich Mario di Bernardo, Bristol Alessio Figalli, Austin Davar Khoshnevisan, Salt Lake City Ioannis Kontoyiannis, Athens Gabor Lugosi, Barcelona Mark Podolskij, Aarhus Sylvia Serfaty, Paris and NY Catharina Stroppel, Bonn Anna Wienhard, Heidelberg
2152
More information about this series at http://www.springer.com/series/304
David Eisenbud • Irena Peeva
Minimal Free Resolutions over Complete Intersections
123
Irena Peeva Mathematics Department Cornell University Ithaca, NY, USA
David Eisenbud MSRI & Mathematics Department University of California Berkeley, CA, USA
ISSN 0075-8434 Lecture Notes in Mathematics ISBN 978-3-319-26436-3 DOI 10.1007/978-3-319-26437-0
ISSN 1617-9692 (electronic) ISBN 978-3-319-26437-0 (eBook)
Library of Congress Control Number: 2015958653 Mathematics Subject Classification (2010): 13D02, 11-XX Springer Cham Heidelberg New York Dordrecht London © Springer International Publishing Switzerland 2016 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. Printed on acid-free paper Springer International Publishing AG Switzerland is part of Springer Science+Business Media (www.springer.com)
Preface
The theory of higher matrix factorizations of a regular sequence f1 ; : : : ; fc presented in this book is an extension of the theory of matrix factorizations of an element in a commutative ring. It allows us to give a description of the eventual structure of minimal free resolutions over a complete intersection R D S=.f1 ; : : : ; fc / of arbitrary codimension c (where S is a regular local ring). We construct the minimal free resolutions of high R-syzygy modules, both over the regular local ring S and over the complete intersection ring R. Berkeley, CA, USA Ithaca, NY, USA August 2015
David Eisenbud Irena Peeva
v
Acknowledgments
We are grateful to J
Data Loading...
