Complete Subdivision Algorithms, I: Intersection of Bezier Curves ∗ Chee K. Yap

Source URL: www.cs.nyu.edu

• Elliptic curves
• Algebraic curve
• Algebraic geometry
• Curve
• Intersection number
• Intersection theory
• Ample line bundle
• Counting points on elliptic curves
• Abstract algebra
• Geometry
• Mathematics

A TOOL FOR STABLE REDUCTION OF CURVES ON SURFACES RAVI VAKIL Abstract. In the study of the geometry of curves on surfaces, the following question often arises: given a one-parameter family of divisors over a pointed

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• Moduli theory
• Vector bundles
• Analytic number theory
• Elliptic curve
• Group theory
• Intersection number
• Curve
• Divisor
• Moduli space
• Abstract algebra
• Geometry
• Algebraic geometry

THE ENUMERATIVE GEOMETRY OF RATIONAL AND ELLIPTIC CURVES IN PROJECTIVE SPACE RAVI VAKIL Abstract. We study the geometry of moduli spaces of genus 0 and 1 curves in Pn with specified contact with a hyperplane H. We comput

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DIFFERENTIATION dy dx These lesson notes are available from www.piLEARN.com They may be freely duplicated and distributed but copyright remains with the author.

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• Differential geometry
• Derivative
• Differential calculus
• Curve
• Elliptic curve
• Envelope
• Geometry
• Mathematics
• Mathematical analysis

Proceedings of 7th G¨ okova Geometry-Topology Conference, pp, 1 – 7 On the tautological ring of Mg,n

Source URL: math.stanford.edu

• Moduli theory
• Algebraic curves
• Invariant theory
• Moduli space
• ELSV formula
• Moduli of algebraic curves
• Hyperelliptic curve
• Elliptic curve
• Chow ring
• Algebraic geometry
• Abstract algebra
• Geometry

Articles Articles on Mathematics Fisher, T., Schaefer, E.F. and Stoll, M. The yoga of the Cassels Tate pairing, LMS J. Comput. Math., 13, 2010, [removed]Kachisa, E.J., Schaefer, E.F. and Scott, M. Constructing Brezing-We

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• Number theory
• Cryptography
• Algebraic curves
• Diophantine geometry
• Analytic number theory
• Elliptic curve
• Abelian variety
• Isogeny
• Pairing
• Abstract algebra
• Mathematics
• Algebra

CONSTRUCTING PAIRING-FRIENDLY HYPERELLIPTIC CURVES USING WEIL RESTRICTION DAVID MANDELL FREEMAN1 AND TAKAKAZU SATOH2 Abstract. A pairing-friendly curve is a curve over a finite field whose Jacobian has small embedding de

Source URL: theory.stanford.edu

• Algebraic curves
• Algebraic surfaces
• Elliptic curves
• Analytic number theory
• Abelian varieties
• Isogeny
• Hyperelliptic curve
• Supersingular elliptic curve
• Weil restriction
• Algebraic geometry
• Abstract algebra
• Geometry

Pairing-friendly Hyperelliptic Curves and Weil Restriction David Mandell Freeman1 (joint work with Takakazu Satoh2 ) 1 CWI

Source URL: theory.stanford.edu

• Algebraic curves
• Elliptic curves
• Cryptography
• Algebraic surfaces
• Abelian variety
• Niels Henrik Abel
• Weil pairing
• Hyperelliptic curve
• Pairing
• Algebraic geometry
• Abstract algebra
• Geometry

Abelian Varieties and Pairing-Based Cryptography Theoretical foundations Practical results Pairing-friendly Hyperelliptic Curves and Weil Restriction

Source URL: theory.stanford.edu

• Cryptography
• Algebraic curves
• Elliptic curves
• Algebraic surfaces
• Abelian varieties
• Weil pairing
• Pairing
• Tate pairing
• Hyperelliptic curve
• Abstract algebra
• Algebraic geometry
• Geometry

3-3 A Generalized Harley Algorithm for Genus Two Hyperelliptic Curves SUGIZAKI Hiroki, MATSUO Kazuto, CHAO Jinhui, and TSUJII Shigeo A fast addition algorithm for divisor classes of genus two hyperelliptic curves over fi

Source URL: www.nict.go.jp

• Algebraic curves
• Hyperelliptic curve
• Divisor
• Ample line bundle
• Elliptic curve
• Linear system of divisors
• Infrastructure
• Imaginary hyperelliptic curve
• Hyperelliptic curve cryptography
• Abstract algebra
• Algebraic geometry
• Algebra