modular_forms_and_special_cycles_on_shimura_curves

by Michael Rapoport, Tonghai Yang, Stephen Kudla

Book Overview

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 "M". The...

• Format: Paperback
• Language: English
• ISBN: B007Z01FQ6
• ISBN13: 9780691125503
• Release Date: April 2006
• Publisher: Princeton University Press
• Length: 392 Pages
• Weight: 1.44 lbs.
• Dimensions: 1.2" x 6.0" x 9.0"