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Normal Two-Dimensional Singularities PDF

177 Pages·1971·12.077 MB·English
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Annals of Mathematics Studies Number 71 NOR!vlAL TWO-DIMENSION AL SINGULARITIES BY HENRY B. LAUFER ........ ~ PRINCETON UNIVERSITY PRESS AND UNIVERSITY OF TOKYO PRESS PRINCETON, NEW JERSEY 1971 Copyright© 1971, by Princeton University Press ALL RIGHTS RESERVED LC Card: 78-160261 ISBN: 0-691-08100-x AMS 1970: 32C40 Published in Japan exclusively by University of Tokyo Press; in other parts of the world by Princeton University Press Printed in the United States of America To My Parents PREFACE This monograph is an outgrowth of a course given in 1969-70 at Princeton University. Its aim is to analytically describe and classify normal 2-dimensional singularities of complex spaces. By restricting considerations solely to dimension two, it is possible, in certain theorems, to get more detailed results than are known in the general case. The reader should have a good knowledge of several complex variables and some acquaintance with Riemann surfaces and covering spaces. I would like to thank the students who attended my course for their many helpful corrections and suggestions. I would also like to thank the secretaries at Fine Hall, especially Florence Armstrong and Elizabeth Epstein, for their aid in preparing the manuscript. vii

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