Arithmetic Algebraic Geometry Softcover Repri Edition Contributor(s): Geer (Editor), Oort, F. (Editor), Steenbrink, J. H. M. (Editor) |
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ISBN: 1461267692 ISBN-13: 9781461267690 Publisher: Birkhauser OUR PRICE: $104.49 Product Type: Paperback - Other Formats Published: October 2012 |
Additional Information |
BISAC Categories: - Mathematics | Algebra - General - Mathematics | Geometry - Algebraic - Mathematics | Number Theory |
Dewey: 512 |
Series: Progress in Mathematics |
Physical Information: 0.93" H x 8.25" W x 11" (2.26 lbs) 444 pages |
Descriptions, Reviews, Etc. |
Publisher Description: Arithmetic algebraic geometry is in a fascinating stage of growth, providing a rich variety of applications of new tools to both old and new problems. Representative of these recent developments is the notion of Arakelov geometry, a way of "completing" a variety over the ring of integers of a number field by adding fibres over the Archimedean places. Another is the appearance of the relations between arithmetic geometry and Nevanlinna theory, or more precisely between diophantine approximation theory and the value distribution theory of holomorphic maps. Research mathematicians and graduate students in algebraic geometry and number theory will find a valuable and lively view of the field in this state-of-the-art selection. |