Periods of Modular GL2-type Abelian Varieties and p-adic Integration

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Q-curves and abelian varieties of GL2-type

A Q-curve is an elliptic curve defined over Q that is isogenous to all its Galois conjugates. The term Q-curve was first used by Gross to denote a special class of elliptic curves with complex multiplication having that property, and later generalized by Ribet to denote any elliptic curve isogenous to its conjugates. In this paper we deal only with Q-curves with no complex multiplication, the c...

متن کامل

A p-adic analogue of the conjecture of Birch and Swinnerton-Dyer for modular abelian varieties

Mazur, Tate, and Teitelbaum gave a p-adic analogue of the Birch and Swinnerton-Dyer conjecture for elliptic curves. We provide a generalization of their conjecture in the good ordinary case to higher dimensional modular abelian varieties over the rationals by constructing the padic L-function of a modular abelian variety and showing it satisfies the appropriate interpolation property. We descri...

متن کامل

Periods of Abelian Varieties

We prove various characterizations of the period torsor of abelian varieties.

متن کامل

p-ADIC DISTANCE FROM TORSION POINTS OF SEMI-ABELIAN VARIETIES

Tate and Voloch have conjectured that the p-adic distance from torsion points of semi-abelian varieties over Cp to subvarieties may be uniformly bounded. We prove this conjecture for prime-to-p torsion points on semi-abelian varieties over Q p using methods of algebraic model theory. Let Cp denote the completion of the algebraic closure of the p-adic numbers with p-adic valuation v normalized t...

متن کامل

2 Periods of Abelian Varieties

We prove various characterizations of the period torsor of abelian varieties, and we correct some errors in the literature. A shortened version of this paper will be submitted for publication.

متن کامل

ذخیره 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: Experimental Mathematics

سال: 2017

ISSN: 1058-6458,1944-950X

DOI: 10.1080/10586458.2017.1284624