Authors:
Includes many important papers which were not published in volume I, including his paper with Deligne from 1969
Many of these papers are no longer available elsewhere
Includes correspondence between Mumford and Grothendieck, arguably the most important figure in 20th century algebraic geometry
Part of the book series: Springer Collected Works in Mathematics (SCWM)
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About this book
These more than 30 articles span the years from 1961-1980 while David Mumford was an active researcher in the area of algebraic geometry. While Volume I contained the papers on classification of varieties and moduli spaces, Volume II contains all other papers in algebraic geomtetry, such as Mumford's paper with Pierre Deligne, The Irreducibility of the space of curves of given genus (1969). Mumford's correspondence of the years 1958 to 1986 with Alexander Grothendieck is also included.
From the reviews of Volume II:
“Selected Papers Volume II collects twenty-nine articles by Mumford, along with four previously unpublished pieces and dozens of letters between Mumford and Grothendieck. … this book the same way I felt about the first volume: this is a book that most algebraic geometers – and all libraries – will not want to do without.” (Darren Glass, The Mathematical Association of America, October, 2010)
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)
“Selected Papers Volume II collects twenty-nine articles by Mumford, along with four previously unpublished pieces and dozens of letters between Mumford and Grothendieck. … this book the same way I felt about the first volume: this is a book that most algebraic geometers – and all libraries – will not want to do without.” (Darren Glass, The Mathematical Association of America, October, 2010)
“The present second volume of David Mumford’s papers on algebraic geometry, including his correspondence with Alexandre Grothendieck over a period of twenty-five years, must be seen as another hoard of Jewels from his treasury of mathematical writings. … this book contains a wealth of new information for the reader, and it is an utmost useful reference book moreover. … this book decidedly ought to be added to the private library of any algebraic geometer.” (Werner Kleinert, Zentralblatt MATH, Vol. 1211, 2011)
Authors and Affiliations
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Division of Applied Mathematics, Brown University, Providence, USA
David Mumford
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.
Bibliographic Information
Book Title: Selected Papers II
Book Subtitle: On Algebraic Geometry, Including Correspondence with Grothendieck
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 2010
Softcover ISBN: 978-1-4939-9588-2Published: 15 July 2019
Series ISSN: 2194-9875
Series E-ISSN: 2194-9883
Edition Number: 1
Number of Pages: XXVI, 767
Topics: Algebraic Geometry, Number Theory