587 Documenta Math. Visibility of Mordell-Weil Groups William A. Stein1

Source URL: www.math.uiuc.edu

• Diophantine geometry
• Conjectures
• Abelian varieties
• Number theory
• Niels Henrik Abel
• Elliptic curve
• Tate conjecture
• Birch and Swinnerton-Dyer conjecture
• MordellWeil theorem
• TateShafarevich group
• Abelian group
• Conductor

587 Documenta Math. Visibility of Mordell-Weil Groups William A. Stein1

Source URL: documenta.sagemath.org

• Diophantine geometry
• Conjectures
• Abelian varieties
• Number theory
• Niels Henrik Abel
• Elliptic curve
• Tate conjecture
• Birch and Swinnerton-Dyer conjecture
• MordellWeil theorem
• TateShafarevich group
• Abelian group
• Conductor

Abelian varieties, theta functions and cryptography Part 2 Damien Robert1 1

Source URL: www.normalesup.org

• Algebraic curves
• Elliptic curve cryptography
• Elliptic curves
• Pairing-based cryptography
• Group theory
• Abelian variety
• Tate pairing
• Hyperelliptic curve
• Weil restriction
• Elliptic curve
• Hyperelliptic curve cryptography
• Weil pairing

A NOTE ON RH FOR CURVES AND HYPERSURFACES OVER FINITE FIELDS NICHOLAS M. KATZ Abstract. We give what is arguably a simple (though certainly not elementary, cf. [Sch]) proof of the Riemann Hypothesis for (projective, smoo

Source URL: web.math.princeton.edu

• Linear algebra
• Matrix theory
• Finite fields
• Genus of a multiplicative sequence
• Eigenvalues and eigenvectors
• Elliptic curve
• Weil conjectures
• Profinite group

Monodromy and the Tate conjecture-1 Monodromy and the Tate conjecture: Picard numbers and Mordell-Weil ranks in families A. Johan de Jong and Nicholas M. Katz Introduction We use results of Deligne on …-adic monodromy

Source URL: web.math.princeton.edu

• Algebraic geometry
• Tate conjecture
• Projective variety
• Algebraic number field
• Ample line bundle
• Elliptic curve
• Cohomology
• Smooth scheme
• Monodromy
• Lefschetz hyperplane theorem
• Picard group
• Hodge conjecture

Exercises on pairings on elliptic curves Andreas Enge Leuven, Friday, 13 September 2013 Exercise 1 (Weil reciprocity). Let E : Y 2 = X 3 + X over F7 , f = Y , g = X−1 X−3 . Compute div f and div g, and verify that f

Source URL: www.cosic.esat.kuleuven.be

• Cryptography
• Algebra
• Public-key cryptography
• Pairing-based cryptography
• Elliptic curves
• Group theory
• Analytic number theory
• Weil pairing
• Divisor
• Pairing
• Homomorphic signatures for network coding

On Polynomial Systems Arising from a Weil Descent Christophe Petit? and Jean-Jacques Quisquater?? UCL Crypto Group, Universit´e catholique de Louvain Place du LevantLouvain-la-Neuve (Belgium)

Source URL: www.uclouvain.be

Bilinear Pairings in Cryptography Master thesis #603 by

Source URL: www.math.ru.nl

• Elliptic curve cryptography
• Pairing-based cryptography
• Public-key cryptography
• Group theory
• Finite fields
• Tate pairing
• Hyperelliptic curve
• Weil pairing
• BonehLynnShacham
• BonehFranklin scheme
• Pairing
• ID-based encryption

February 23, 1975 Dear Roger, Yesterday I took up two of your letters, written to me some time ago, in which you describe some of your thoughts on the Weil representation. Reading them over and glancing through some of t

Source URL: www.sunsite.ubc.ca

• Lie groups
• Theta function
• Symbol
• Orthogonal group
• Metaplectic group
• Spectral theory of ordinary differential equations
• Oscillator semigroup
• Mathematical analysis
• Mathematics
• Abstract algebra

Orbital Integrals on Forms of SL(3), I By R.P. Langlands Dedicated to Andr´e Weil on his 77th birthday. If G is a reductive group over a local or global field then it is possible to attach to G the endoscopic groups stu

Source URL: www.sunsite.ubc.ca

• Greek romanization
• Partial differential equations
• Symbol
• Spectral theory of ordinary differential equations
• Mathematical analysis
• Mathematics
• Physics