Affine Algebraic Geometry: Proceedings of the Conference PDF
Preview Affine Algebraic Geometry: Proceedings of the Conference
Proceedings of the Conference 8643_9789814436694_tp.indd 1 10/4/13 3:49 PM April1,2013 10:34 LaiFun-8643-AffineAlgebraicGeometry-Proceedings9inx6in affine-master TThhiiss ppaaggee iinntteennttiioonnaallllyy lleefftt bbllaannkk Proceedings of the Conference Osaka, Japan 3 – 6 March 2011 Editors Kayo Masuda Kwansei Gakuin University, Japan Hideo Kojima Niigata University, Japan Takashi Kishimoto Saitama University, Japan World Scientific NEW JERSEY • LONDON • SINGAPORE • BEIJING • SHANGHAI • HONG KONG • TAIPEI • CHENNAI 8643_9789814436694_tp.indd 2 10/4/13 3:49 PM Published 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. AFFINE ALGEBRAIC GEOMETRY Proceedings of the Conference Copyright © 2013 by World Scientific Publishing Co. Pte. Ltd. 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 978-981-4436-69-4 Printed in Singapore A p ril 1 , 2 0 1 3 1 0 :3 4 L a i F u n - 8 6 4 3 - A ffi n e A lg e b ra ic G e o m e try - P ro c e e d in g s 9 in x 6 in Conference on AffineAlgebraic Geometry,March 3–6, 2011, Osaka UmedaCampus of Kwansei Gakuin University a ffi n e -m a ste r April1,2013 10:34 LaiFun-8643-AffineAlgebraicGeometry-Proceedings9inx6in affine-master TThhiiss ppaaggee iinntteennttiioonnaallllyy lleefftt bbllaannkk April1,2013 10:34 LaiFun-8643-AffineAlgebraicGeometry-Proceedings9inx6in affine-master vii DEDICATION Professor Masayoshi Miyanishi was born in 1940. He entered Kyoto University in 1958 and started his career as a mathematician in the very stimulating atmosphere. Around 1960, there was a very strong school of algebraic geometry in Kyoto. Professor Nagata was one of the leaders of this school. Under the leadership of Professor Nagata, several brilliant students of Professor Miyanishi’s generation worked hard to absorb new languageandtheoriesinalgebraicgeometry.Infact,the firstbook ofEGA waspublishedin1960andatthattime the greatrevolutionwasperformed in algebraic geometry. To those young mathematicians who studied with Professor Miyanishi belonged Professors T. Oda, T. Miyata, H. Sumihiro and M. Maruyama. They later became leaders of algebraic geometry in Japan. After finishinghismasterthesis,ProfessorMiyanishibecamearesearch assistantandthenaninstructorofKyotoUniversity.Hereceivedhis Ph.D. in1968fromKyotoUniversity.Afterwardshebecameanassociateprofessor at OsakaUniversity in 1973and a professorin 1984which he kept until he retired from Osaka University in 2003. He was a professor of mathematics in Kwansei Gakuin University from 2003 to 2009. Professor Miyanishi visited several foreign countries and had opportu- nities to do fruitful collaborationswith many mathematiciansfromvarious countries. In 1965, he went to Paris and attended Chevalley seminar. Of course he met Grothendieck. Under the influence of the time, his first interest of algebraic geometry was in a general aspect of the theory. Besides research papers, he published his first book on algebraic geometry with Professors M.NagataandM.Maruyamain1973.Thisbook wasthe firsttextbookon a scheme theory available in Japanese language. Professor Miyanishi continued his collaborations with mathematicians likeProfessorsS. S.Abhyanker,P.RussellandR.V.Gurjar.Meanwhilehe gradually shifted his interest towards concrete objects during the 70’s. He isaleadingfigureinestablishinganewbranchofmathematicscalledaffine April1,2013 10:34 LaiFun-8643-AffineAlgebraicGeometry-Proceedings9inx6in affine-master viii Dedication algebraic geometry. He published more than 90 research articles and his researchresultsonaffine algebraicgeometryinclude “Acharacterizationof the affine plane”, “The cancellation problem of the affine plane” and “A theoryoflogDel Pezzosurfaces”.His Tatalecture notesin1978is the first summary of his researchin this area, and one of the good references of the recent development in affine algebraic geometry is his article in the book “Affine Algebraic Geometry, 2007 (T. Hibi, ed.)” published by the Osaka University Press. Apart from the activity on research and education, he made a great contribution toward the university administration. He became a dean of the faculty ofscience and afterwardswas a vice presidentof OsakaUniver- sity until 2003. The time of his vice presidency corresponded to the time when Japanese universities were preparing for corporatization. He played an important role in performing this transition. While he was a professor at Kwansei Gakuin University, he started a conference on affine algebraic geometry at the Umeda campus of Kwansei GakuinUniversityinMarch,2008.Heisstillgivingstimulationstoyounger generations. Toru Sugie April1,2013 10:34 LaiFun-8643-AffineAlgebraicGeometry-Proceedings9inx6in affine-master ix PREFACE A Conference on Affine Algebraic Geometry was held at Osaka Umeda Campus of Kwansei Gakuin University during the period 3–6 March, 2011 ontheoccasionoftheseventiethbirthdayofProfessorMasayoshiMiyanishi. Elevenresearcherswere invited from abroardand 19 talks were given. The present proceedings is dedicated to Professor Miyanishi. This volume con- tains16paperscontributedbyparticipantsintheconferenceandbyfriends of Professor Miyanishi who were not able to participate in the conference. All papers in this volume have been refereed. Most subjects treated in the present volume are related to those Professor Miyanishi has been studying and developing for more than 40 years. Professor Miyanishi is one of the founders of affine algebraic geometry. After the fundamental works by S. Abhyankar, M. Nagata and et al., he laid the foundations in some of the theories of affine algebraic geometry. Based on his deep and wide-ranged knowledge on algebraic geometry and commutative algebra, he established the theory of open algebraic surfaces withthepeopleincludingT.Fujita,S.Iitaka,Y.KawamataandS.Tsunoda. He has authored 99 research papers so far. It is remarkable that he is still very active after the retirement of the professorships he held in Osaka UniversityandKwanseiGakuinUniversity.Indeed,heauthoredtenpapers after his retirement from Kwansei Gakuin University which he had been affiliatedtountillMarch,2009afterhavingleftOsakaUniversityin2003.He isnowaguestresearcheroftheResearchCenterforMathematicalSciences, which he himself established at Kwansei Gakuin University. As well as his research, he has been devoted to the education. He brought up over ten studentstoresearchers.Heisgenerousinsharingmathematicalideas.This is testified by the fact that there are many joint papers with his colleagues and students. The conferencewasheldasthe 7thMeetingofAffineAlgebraicGeome- try.The Affine AlgebraicGeometry Meeting has startedin March,2008as a small meeting organized by Professor Miyanishi and me. Since then, the meetinghasbeenheldtwiceayear,SeptemberandMarch,atOsakaUmeda
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