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 two types of generating functions are related via an arithmetic inner ...
Read More
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 two types of generating functions are related via an arithmetic inner product formula. In addition, an analogue of the classical Siegel-Weil formula identifies the generating function for zero-cycles as the central derivative of a Siegel Eisenstein series. As an application, an arithmetic analogue of the Shimura-Waldspurger correspondence is constructed, carrying holomorphic cusp forms of weight 3/2 to classes in the Mordell-Weil group of "M". In certain cases, the nonvanishing of this correspondence is related to the central derivative of the standard L-function for a modular form of weight 2. These results depend on a novel mixture of modular forms and arithmetic geometry and should provide a paradigm for further investigations. The proofs involve a wide range of techniques, including arithmetic intersection theory, the arithmetic adjunction formula, representation densities of quadratic forms, deformation theory of p-divisible groups, p-adic uniformization, the Weil representation, the local and global theta correspondence, and the doubling integral representation of L-functions.
Read Less
Add this copy of Modular Forms and Special Cycles on Shimura Curves. to cart. $52.50, very good condition, Sold by Michener & Rutledge Bookseller rated 5.0 out of 5 stars, ships from Baldwin City, KS, UNITED STATES, published 2006 by Princeton University Press.
Add this copy of Modular Forms and Special Cycles on Shimura Curves. (Am to cart. $52.76, like new condition, Sold by Bookmonger.Ltd rated 4.0 out of 5 stars, ships from Hillside, NJ, UNITED STATES, published 2006 by Princeton University Press.
Add this copy of Modular Forms and Special Cycles on Shimura Curves to cart. $84.20, new condition, Sold by Books2anywhere rated 5.0 out of 5 stars, ships from Fairford, GLOUCESTERSHIRE, UNITED KINGDOM, published 2006 by Princeton University Press.
Choose your shipping method in Checkout. Costs may vary based on destination.
Seller's Description:
PLEASE NOTE, WE DO NOT SHIP TO DENMARK. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Please note we cannot offer an expedited shipping service from the UK.
Add this copy of Modular Forms and Special Cycles on Shimura Curves to cart. $89.46, new condition, Sold by Paperbackshop International rated 4.0 out of 5 stars, ships from Fairford, GLOS, UNITED KINGDOM, published 2006 by Princeton University Press.
Choose your shipping method in Checkout. Costs may vary based on destination.
Seller's Description:
PLEASE NOTE, WE DO NOT SHIP TO DENMARK. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Please note we cannot offer an expedited shipping service from the UK.
Add this copy of Modular Forms and Special Cycles on Shimura Curves. (Am to cart. $93.86, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 2006 by Princeton University Press.
Add this copy of Modular Forms and Special Cycles on Shimura Curves to cart. $97.45, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 2006 by Princeton University Press.
Add this copy of Modular Forms and Special Cycles on Shimura Curves. (Am to cart. $100.20, new condition, Sold by Kennys.ie rated 4.0 out of 5 stars, ships from Galway, IRELAND, published 2006 by Princeton University Press.
Choose your shipping method in Checkout. Costs may vary based on destination.
Seller's Description:
New. 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. Series: Annals of Mathematics Studies. Num Pages: 392 pages, 1 line illus. 3 tables. BIC Classification: PBH; PBKF. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 229 x 152 x 20. Weight in Grams: 542. 2006. Paperback.....We ship daily from our Bookshop.
Add this copy of Modular Forms and Special Cycles on Shimura Curves to cart. $101.18, new condition, Sold by Paperbackshop rated 4.0 out of 5 stars, ships from Bensenville, IL, UNITED STATES, published 2006 by Princeton University Press.
Add this copy of Modular Forms and Special Cycles on Shimura Curves to cart. $106.64, new condition, Sold by GreatBookPricesUK5 rated 4.0 out of 5 stars, ships from Castle Donington, DERBYSHIRE, UNITED KINGDOM, published 2006 by Princeton University Press.
Choose your shipping method in Checkout. Costs may vary based on destination.
Seller's Description:
New. Trade paperback (US). Glued binding. 392 p. Contains: Illustrations, black & white. Annals of Mathematics Studies, 161. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
Add this copy of Modular Forms and Special Cycles on Shimura Curves to cart. $106.64, like new condition, Sold by GreatBookPricesUK5 rated 4.0 out of 5 stars, ships from Castle Donington, DERBYSHIRE, UNITED KINGDOM, published 2006 by Princeton University Press.
Choose your shipping method in Checkout. Costs may vary based on destination.
Seller's Description:
Fine. Trade paperback (US). Glued binding. 392 p. Contains: Illustrations, black & white. Annals of Mathematics Studies, 161. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
