Published February 28, 1998 | Version v1
Journal article

On Frobenius traces

  • 1. Vladimir State University (Russian Federation)

Description

In this paper we discuss a certain Diophantine property of Frobenius traces associated with an Abelian variety over a number field k and apply it to prove the Mumford-Tate conjecture for 4p-dimensional Abelian varieties J over k, where p is a prime number, p≥17, or (under certain weak assumptions) End0(Jxk-bar) is an imaginary quadratic extension of Q

Availability note (English)

Available from http://dx.doi.org/10.1070/IM1998v062n01ABEH000189

Additional details

Publishing Information

Journal Title
Izvestiya. Mathematics
Journal Volume
62
Journal Issue
1
Journal Page Range
p. 157-190
ISSN
1064-5632

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
39106460
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
FOUR-DIMENSIONAL CALCULATIONS; HILBERT SPACE; MATHEMATICAL OPERATORS
Descriptors DEC
BANACH SPACE; MATHEMATICAL SPACE; SPACE