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Modular Forms and Special Cycles on Shimura Curves. (AM-161).

Author: Stephen S Kudla; Michael Rapoport; Tonghai Yang
Publisher: Princeton : Princeton University Press, 2006.
Series: Annals of mathematics studies.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
Modular Forms and Special Cycles on Shimura Curves is a thorough study of the generating functions constructed from special cycles, both divisors and zero-cycles, on the arithmetic surface ""M"" attached to a Shimura curve ""M"" over the field of rational numbers. These generating functions are shown to be the q-expansions of modular forms and Siegel modular forms of genus two respectively, valued in the  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Stephen S Kudla; Michael Rapoport; Tonghai Yang
ISBN: 9781400837168 1400837162 0691125503 9780691125503 0691125511 9780691125510
OCLC Number: 845252509
Language Note: English.
Description: 1 online resource (384 pages).
Contents:
Series Title: Annals of mathematics studies.

Abstract:

A study of the generating functions constructed from special cycles, both divisors and zero-cycles, on the arithmetic surface "M" attached to a Shimura curve "M" over the field of rational numbers.  Read more...

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"This book represents a major milestone for research at the intersection of arithmetic geometry and automorphic forms. The results will shape the research in this area for some time to come."--Jens Read more...

 
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