Overview
- Brings together Mumford's most important papers on algebraic geometry
- Divided into three main sections and each section is introduced with commentary from David Gieseker, Eckart Viehweg, George Kempf and Herbert Lange
Part of the book series: Springer Collected Works in Mathematics (SCWM)
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Keywords
- moduli of curves
- invariant theory
- Theta functions
- Abelian varieties
- Kodaira dimension
About this book
Reviews
From the reviews:
"The present volume contains thirty selected articles of D. Mumford on topics in algebraic geometry … . must be seen as a highly valuable and welcome collection for every researcher in the field. … Further generations of researchers in this field, graduate students, mathematical physicists, and mathematical historians will profit a great deal from this collection of selected papers … . this is why this volume is at least a must for any relevant library." (Werner Kleinert, Zentralblatt MATH, Vol. 1051)
"Springer has recently released … a collection of 30 of the 51 papers that Mumford wrote in algebraic geometry. The papers are divided into three sections, each of which comes with commentary and annotation by Mumford … which give nice summaries and introductions to much of his work. … Reading these papers is exciting both for their mathematical content and to watch the evolution of the ideas … . a book that most algebraic geometers – and all libraries – will not want to do without." (Darren Glass, MathDL, January, 2005)
"The Editors of this volume of Selected Papers, published by Springer Verlag, have made the choice of grouping his articles under three distinct headings … . This is a book is not going to get dust on a shelf: it will more likely spend its life on desks, read more often than a Graduate Text or a Monograph. Algebraic geometers of every generation will certainly welcome it." (E. Sernesi, Jahresbericht der Deutschen Mathematiker-Vereinigung, Vol. 107 (1), 2007)
"This book contains a selection of the papers of David Mumford (born in 1937) in algebraic geometry. Even today, his papers are a rich source of information, of truly new ideas, and of inspiration. … His style is unique and fascinating. … Young algebraic geometers would do well to study these papers. They contain a wealth of ideas waiting to be developed." (Frans Oort, Nieuw Archief voor Wiskunde, Vol. 8 (3), 2007)
"I am quiet happy tokeep this volume on my self, and I will surely find many more seeds in it that grew so large that by now there origins are hard to recognize. The volume under review divides Mumford’s papers into three broad areas, each preceded by an easy summarizing the results and outlining their influence on further developments." (János Kollár, Bulletin of the American Math Society, Vol. 43 (1), 2005)
Authors and Affiliations
About the author
David Mumford was Professor of Applied Mathematics at Brown University. In 1974 he was awarded the Fields Medal at the International Congress of Mathematicians in Vancouver. In 2010 he was awarded the National Medal of Science.
Bibliographic Information
Book Title: Selected Papers I
Book Subtitle: On the Classification of Varieties and Moduli Spaces
Authors: David Mumford
Series Title: Springer Collected Works in Mathematics
Publisher: Springer New York, NY
Copyright Information: Springer Science+Business Media, LLC, part of Springer Nature 2004
Softcover ISBN: 978-1-4939-9535-6Published: 16 May 2019
Series ISSN: 2194-9875
Series E-ISSN: 2194-9883
Edition Number: 1
Number of Pages: XVIII, 795
Number of Illustrations: 1 b/w illustrations