Brauer Groups and Obstruction Problems Moduli Spaces and Arithmetic
The contributions in this book explore various contexts in which the derived category of coherent sheaves on a variety determines some of its arithmetic. This setting provides new geometric tools for interpreting elements of the Brauer group. With a view
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Asher Auel Brendan Hassett Anthony Várilly-Alvarado Bianca Viray Editors
Brauer Groups and Obstruction Problems Moduli Spaces and Arithmetic
Progress in Mathematics Volume 320
Series Editors Antoine Chambert-Loir, Université Paris-Diderot, Paris, France Jiang-Hua Lu, The University of Hong Kong, Hong Kong SAR, China Yuri Tschinkel, Courant Institute of Mathematical Sciences, New York, USA
More information about this series at http://www.springer.com/series/4848
Asher Auel • Brendan Hassett Anthony Várilly-Alvarado • Bianca Viray Editors
Brauer Groups and Obstruction Problems Moduli Spaces and Arithmetic
Editors Asher Auel Department of Mathematics Yale University New Haven, Connecticut, USA
Brendan Hassett Department of Mathematics Brown University Providence, Rhode Island, USA
Anthony Várilly-Alvarado Department of Mathematics MS-136 Rice University Houston, Texas, USA
Bianca Viray Department of Mathematics University of Washington Seattle, Washington, USA
ISSN 2296-505X (electronic) ISSN 0743-1643 Progress in Mathematics ISBN 978-3-319-46851-8 ISBN 978-3-319-46852-5 (eBook) DOI 10.1007/978-3-319-46852-5 Library of Congress Control Number: 2017930680 Mathematics Subject Classification (2010): 14F05, 14F22, 14E08, 14G05, 14J28, 14J35, 14J60 © 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 book is published under the trade name Birkhäuser, www.birkhauser-science.com The registered company is Springer International Publishing AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
Contents Nicolas Addington The Brauer Group Is Not a Derived Invariant . . . . . . . . . . . . . . . . . . . . . . .1 Benjamin Antieau Twisted Derived Equivalences for Affine Schemes . . . . . . . . . . . . . . . . . . . 7 Kenneth Ascher, Krishna Dasaratha, Alexander Perr
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