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

by Stephen S. Kudla, Tonghai Yang, Michael Rapoport

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 Gillet-Soul? arithmetic Chow groups of...

• Format: Paperback
• Language: English
• ISBN: 0691125511
• ISBN13: 9780691125510
• Release Date: April 2006
• Publisher: Princeton University Press
• Length: 392 Pages
• Weight: 1.30 lbs.
• Dimensions: 1.0" x 6.1" x 9.2"