منابع مشابه
On maps between modular Jacobians and Jacobians of Shimura curves
Fix a squarefree integer N , divisible by an even number of primes, and let Γ be a congruence subgroup of level M , where M is prime to N . For each D dividing N and divisible by an even number of primes, the Shimura curve X(Γ0(N/D)∩Γ ) associated to the indefinite quaternion algebra of discriminant D and Γ0(N/D) ∩ Γ -level structure is well defined, and we can consider its Jacobian J(Γ0(N/D) ∩...
متن کاملShimura curve computations
We introduce Shimura curves first as Riemann surfaces and then as moduli spaces for certain abelian varieties. We give concrete examples of these curves and do some explicit computations with them.
متن کاملShimura Curve Computations
We give some methods for computing equations for certain Shimura curves, natural maps between them, and special points on them. We then illustrate these methods by working out several examples in varying degrees of detail. For instance, we compute coordinates for all the rational CM points on the curves X (1) associated with the quater-nion algebras over Q ramiied at f2; 3g, f2; 5g, f2; 7g, and...
متن کاملOn Atkin-lehner Quotients of Shimura Curves
We study the Čerednik-Drinfeld p-adic uniformization of certain AtkinLehner quotients of Shimura curves over Q. We use it to determine over which local fields they have rational points and divisors of a given degree. Using a criterion of Poonen and Stoll we show that the Shafarevich-Tate group of their jacobians is not of square order for infinitely many cases. In [PSt] Poonen and Stoll have sh...
متن کاملD-elliptic sheaves and odd Jacobians
Article history: Received 25 May 2011 Revised 31 October 2011 Accepted 10 February 2012 Available online 30 March 2012 Communicated by David Goss Dedicated to the memory of David Hayes MSC: 11G09 11G18 11G20
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 2001
ISSN: 0022-314X
DOI: 10.1006/jnth.2000.2600