1986c Jacobian varieties (Storrs) (Arithmetic geometry (Storrs, Conn., 1984), 167–212, Springer, New York, Erratum p179, Section 4. I should have noted that the method of construction of the Jacobian variety in

Source URL: www.jmilne.org

Kazhdan’s Theorem on Arithmetic Varieties J.S. Milne Abstract. Define an arithmetic variety to be the quotient of a bounded symmetric domain by an arithmetic group. An arithmetic variety is algebraic, and the theorem

Source URL: www.jmilne.org

Arithmetic on Abelian and Kummer Varieties DAVID LUBICZ AND DAMIEN ROBERT Abstract. A Kummer variety is obtained as the quotient of an abelian variety by the automorphism (−1) acting on it. Kummer varieties can be seen

Source URL: www.normalesup.org

Efficient arithmetic on elliptic curves in characteristic 2 David Kohel Institut de Math´ematiques de Luminy Universit´e d’Aix-Marseille 163, avenue de Luminy, Case 907

Source URL: iml.univ-mrs.fr

• Abstract algebra
• Algebra
• Geometry
• Elliptic curves
• Algebraic varieties
• Elliptic curve cryptography
• Analytic number theory
• Elliptic curve
• Group theory
• Projective variety
• Weil pairing
• Divisor

Mandeville Primary School Mathematics The Year 4 Learner Working mathematically By the end of year 4, children will apply their understanding of maths to solve a wide variety of problems with more than one step and be ex

Source URL: www.mandeville221.herts.sch.uk

• Mathematics
• Elementary arithmetic
• Binary operations
• Mathematical notation
• Mathematics education
• Division
• Fraction
• Subtraction
• Number
• Multiplication
• Pi
• Positional notation

1 Adelic intersection problems in arithmetic geometry and dynamics Felipe Voloch University of Texas at Austin

Source URL: www.ma.utexas.edu

• Algebraic number theory
• Algebraic geometry
• Niels Henrik Abel
• Integer sequences
• Abelian variety
• Adele ring
• Algebraic number field
• Projective variety
• Prime number

The Intrinsic Hodge Theory of p-adic Hyperbolic Curves by Shinichi Mochizuki Contents: §1. Uniformization Theory as a Hodge Theory at Arithmetic Primes (A.) Uniformization as a Catalogue of Rational Points

Source URL: www.kurims.kyoto-u.ac.jp

• Algebraic geometry
• Homological algebra
• Algebraic number theory
• Number theory
• Galois theory
• Abelian variety
• Uniformization theorem
• P-adic Hodge theory
• Galois module
• Crystalline cohomology
• Motive
• P-adic number

Mandeville Primary School Mathematics The Year 6 Learner Working mathematically By the end of year 6, children will structure their own investigations and solve a wide variety of increasingly complex problems. They will

Source URL: www.mandeville221.herts.sch.uk

• Elementary arithmetic
• Binary operations
• Mathematical notation
• Pi
• Fraction
• Addition
• Number
• Multiplication
• Subtraction
• Mathematics
• Positional notation
• Decimal

ARITHMETIC ELLIPTIC CURVES IN GENERAL POSITION Shinichi Mochizuki February 2009

Source URL: www.kurims.kyoto-u.ac.jp

• Algebraic geometry
• Algebraic varieties
• Group theory
• Divisor
• Projective variety
• Elliptic curve
• Blowing up
• Ring
• Prime number theorem
• Ample line bundle

EVIDENCE FOR THE DYNAMICAL BRAUER-MANIN CRITERION ¨ KURLBERG, KHOA NGUYEN, ADAM TOWSLEY, BIANCA VIRAY, EKATERINA AMERIK, PAR ´ FELIPE VOLOCH AND JOSE Abstract. Let ϕ : X → X be a morphism of a variety over a number

Source URL: www.ma.utexas.edu

• Algebraic geometry
• Field theory
• Algebraic number theory
• Ring theory
• Number theory
• Algebraic number field
• Projective variety
• Distribution
• Witt vector
• tale morphism
• Valuation
• Arithmetic dynamics