Affine surface area and convex bodies of elliptic type Rolf Schneider Abstract If a convex body K in Rn is contained in a convex body L of elliptic type (a curvature image), then it is known that the affine surface area

Source URL: home.mathematik.uni-freiburg.de

Explicit Algorithms for Humbert Surfaces David Gruenewald A thesis submitted in partial fulfilment of the requirements for the degree of Doctor of Philosophy in Pure Mathematics at the University of Sydney, December 2008

Source URL: echidna.maths.usyd.edu.au

• Abelian varieties
• Algebraic surfaces
• Analytic number theory
• Algebraic curves
• Bernhard Riemann
• Humbert surface
• Modular form
• Elliptic curve
• Complex multiplication
• Shimura variety
• AppellHumbert theorem
• Abelian surface

Humbert Surfaces and Applications David Gruenewald ´ eRISCS-ESIL, Universit´

Source URL: echidna.maths.usyd.edu.au

• Mathematical analysis
• Mathematics
• Complex analysis
• Elliptic functions
• Riemann surfaces
• Moduli theory
• Theta function
• Modular form
• Moduli space
• Humbert surface
• Theta constant

EXPLICIT CM-THEORY FOR LEVEL 2-STRUCTURES ON ABELIAN SURFACES ¨ REINIER BROKER, DAVID GRUENEWALD, AND KRISTIN LAUTER Abstract. For a complex abelian surface A with endomorphism ring isomorphic to

Source URL: echidna.maths.usyd.edu.au

• Abstract algebra
• Algebra
• Ring theory
• Field theory
• Algebraic number theory
• Niels Henrik Abel
• Analytic number theory
• Abelian variety
• Complex multiplication
• Valuation
• Elliptic curve
• Sheaf

The Swept Surface of an Elliptic Cylinder Stephen Mann Computer Science Department University of Waterloo Waterloo, Ontario, N2L 3GI CANADA

Source URL: www.me.uwaterloo.ca

• Ellipse
• Cylinder
• Geometry
• Surfaces
• Curves

The Atiyah-Singer Index Theorem 2 Nigel Higson and John Roe

Source URL: www.personal.psu.edu

• Differential operators
• Atiyah–Singer index theorem
• Elliptic operator
• Fredholm operator
• Partial differential equation
• Elliptic curve
• Manifold
• Michael Atiyah
• Riemann surface
• Mathematical analysis
• Calculus
• Mathematics

TWELVE POINTS ON THE PROJECTIVE LINE, BRANCHED COVERS, AND RATIONAL ELLIPTIC FIBRATIONS RAVI VAKIL Abstract. The following divisors in the space Sym12 P1 of twelve points on P1 are actually the same: (A) the possible loc

Source URL: math.stanford.edu

• Algebraic surfaces
• Algebraic curves
• Birational geometry
• Vector bundles
• Canonical bundle
• Elliptic surface
• Del Pezzo surface
• Ample line bundle
• Riemann–Roch theorem
• Algebraic geometry
• Geometry
• Abstract algebra

Constructing Abelian Varieties for Pairing-Based Cryptography by David Stephen Freeman A.B. (Harvard University) 2002

Source URL: theory.stanford.edu

• Elliptic curves
• Abelian varieties
• Cryptography
• Finite fields
• Complex multiplication
• Supersingular elliptic curve
• Pairing
• Abelian surface
• Frobenius endomorphism
• Abstract algebra
• Algebra
• Algebraic surfaces

Vertical mode expansion method for analyzing elliptic cylindrical objects in a layered background Hualiang Shi1 and 1 Ya Yan Lu1, ∗

Source URL: math.cityu.edu.hk

FLORIN DIACU, University of Victoria Rotopulsators of the curved N-body problem We consider the N -body problem in spaces of constant curvature and study its rotopulsators, i.e. solutions for which the configuration of t

Source URL: cms.math.ca

• Curvature
• Riemannian geometry
• Physics
• Florin Diacu
• Constant curvature
• Orbit
• N-body problem
• Riemann surface
• Elliptic operator
• Differential geometry
• Geometry
• Celestial mechanics