THE HODGE THEORY OF PROJECTIVE MAN I FOLDS投射人I的霍奇理论.pdf

THE HODGE THEORY OF PROJECTIVE MAN I FOLDS This page intentionally left blankThis page intentionally left blank THE HODGE THEORY OF PROJ ECTIVE MAN I FOLDS MARK ANDREA DE CATALDO Stony Brook University, USA Imperial College Press Published by Imperial College Press 57 Shelton Street Covent Garden London WC2H 9HE Distributed by World Scientific Publishing Co. Pte. Ltd. 5 Toh Tuck Link, Singapore 596224 USA office: 27 Warren Street, Suite 401-402, Hackensack, NJ 07601 UK office: 57 Shelton Street, Covent Garden, London WC2H 9HE British Library Cataloguing-in-Publication Data A catalogue record for this book is available from the British Library. THE HODGE THOERY OF PROJECTIVE MANIFOLDS Copyright © 2007 by Imperial College Press All rights reserved. This book, or parts thereof, may not be reproduced in any form or by any means, electronic or mechanical, including photocopying, recording or any information storage and retrieval system now known or to be invented, without written permission from the Publisher. For photocopying of material in this volume, please pay a copying fee through the Copyright Clearance Center, Inc., 222 Rosewood Drive, Danvers, MA 01923, USA. In this case permission to photocopy is not required from the publisher. ISBN-13 978-1-86094-800-8 ISBN-10 1-86094-800-6 Printed in Singapore. Alla memoria di Meeyoung This page intentionally left blankThis page intentionally left blank Preface After the mountain, another mountain (traditional Korean saying) As my friend and colleague Luca Migliorini once wrote to me, the topol- ogy of algebraic varieties is a mystery and a miracle. Thes