Modular Forms and Special Cycles on Shimura Curves. (AM-161) (Annals of Mathematics Studies) - Image 1

£63.03

Princeton University Press Modular Forms and Special Cycles on Shimura Curves. (AM-161) (Annals of Mathematics Studies)

Name: Modular Forms and Special Cycles on Shimura Curves. (AM-161) (Annals of Mathematics Studies)
Brand: Princeton University Press
Price: 63.03 GBP
Availability: InStock

Mathematical Analysis

This is the most expensive it has ever been. Walk away.

£63 today · previous high £63 · all-time low £63

NEW HERE?

Amazon shows you one price. We show you all of them.

Tosheroon watches Amazon prices so you don't have to. Every product on Amazon has a price history — we make it visible. Set the price you'd actually pay, and we'll email you the second it gets there. No app, no account, one email.

WHAT'S ON THIS PAGE

↓ Price chart
when this has been cheap or pricey

↓ Forecast
where the price is heading next

↓ Statistics
all-time high & low, recent range

↑ Price alert
name your number, we'll email you

Price History & Forecast

Grey patches = out of stock. Cheaper = lower on the chart. Hover for exact prices.

Last 68 days · 68 data points (no recent data)

Historical

Generating forecast…

Price Distribution

Price distribution over 68 days • 1 price levels

Days at Price

Price Analysis

Most common price: £63 (68 days, 100.0%)

Price range: £63 - £63

Price levels: 1 different prices over 68 days

Description

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-Soulé 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.

Product Specifications

Brand: Princeton University Press
Format: paperback
ASIN: 0691125511
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis
Domain: Amazon UK
Publication Date: 24 April 2006
Listed Since: 09 February 2007

Barcode

No barcode data available

Princeton University Press Modular Forms and Special Cycles on Shimura Curves. (AM-161) (Annals of Mathematics Studies)

This is the most expensive it has ever been. Walk away.

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

Supersingular p-adic L-functions, Maass-Shimura Operators and Waldspurger Formulas: (AMS-212) (Annals of Mathematics Studies, 212)

Arithmetic Fundamental Groups and Noncommutative Algebra Book

Moduli Stacks of Étale (ϕ, Γ)-Modules and the Existence of Crystalline Lifts: (AMS-215) (Annals of Mathematics Studies, 215)

Lectures on Hilbert Modular Varieties and Modular Forms (CRM Monograph) (CRM Monograph Series)

The Geometry and Cohomology of Some Simple Shimura Varieties.: 151 (Annals of Mathematics Studies, 151)

Arithmetic Algebraic Geometry: 89 (Progress in Mathematics, 89)

Brauer Groups and Obstruction Problems: Moduli Spaces and Arithmetic: 320 (Progress in Mathematics, 320)

Brauer Groups and Obstruction Problems: Moduli Spaces and Arithmetic: 320 (Progress in Mathematics, 320)

The Gross-Zagier Formula on Shimura Curves (Annals of Mathematics Studies): (AMS-184)

p-Adic Automorphic Forms on Shimura Varieties (Springer Monographs in Mathematics)

Arithmetic Compactifications of PEL-Type Shimura Varieties (London Mathematical Society Monographs)

Elementary Modular Iwasawa Theory: 16 (Series On Number Theory And Its Applications)

Fundamentals of Diophantine Geometry

Arithmetic and Geometry: Ten Years in Alpbach

Fundamentals of Diophantine Geometry

Arithmetic Geometry (Clay Mathematics Proceedings)

Cohomology of Drinfeld Modular Varieties, Part 2, Automorphic Forms, Trace Formulas and Langlands Correspondence: 56 (Cambridge Studies in Advanced Mathematics, Series Number 56)

Nevanlinna Theory in Several Complex Variables and Diophantine Approximation: 350 (Grundlehren der mathematischen Wissenschaften, 350)

Computational Aspects of Modular Forms and Galois Representations: How One Can Compute in Polynomial Time the Value of Ramanujan's Tau at a Prime (AM-176) (Annals of Mathematics Studies)

Arithmetic and Analytic Theories of Quadratic Forms and Clifford Groups (Mathematical Surveys and Monographs)

Weil`s Conjecture for Function Fields – Volume I (AMS–199) (Annals of Mathematics Studies, 199)

Weil`s Conjecture for Function Fields – Volume I (AMS–199) (Annals of Mathematics Studies, 199)

Local Fields: 67 (Graduate Texts in Mathematics, 67)

Berkeley Lectures on p-adic Geometry: (AMS-207) (Annals of Mathematics Studies, 207)