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There is a page named "Hyperelliptic curve" on Wikipedia
- In algebraic geometry, a hyperelliptic curve is an algebraic curve of genus g > 1, given by an equation of the form y 2 + h ( x ) y = f ( x ) {\displaystyle...7 KB (1,104 words) - 16:58, 11 April 2024
- Hyperelliptic curve cryptography is similar to elliptic curve cryptography (ECC) insofar as the Jacobian of a hyperelliptic curve is an abelian group...11 KB (1,824 words) - 20:05, 18 June 2024
- there are two types of hyperelliptic curves, a class of algebraic curves: real hyperelliptic curves and imaginary hyperelliptic curves which differ by the...12 KB (2,654 words) - 01:18, 14 June 2024
- using hyperelliptic curves to factor integers. Cosset shows in his article (of 2010) that one can build a hyperelliptic curve with genus two (so a curve y...26 KB (4,508 words) - 23:04, 16 April 2024
- A hyperelliptic curve is a particular kind of algebraic curve. There exist hyperelliptic curves of every genus g ≥ 1 {\displaystyle g\geq 1} . If the...31 KB (7,145 words) - 14:31, 30 July 2024
- Weil conjectures (section Hyperelliptic curves)genus 2 curve C / F 41 : y 2 + y = x 5 , {\displaystyle C/{\bf {F}}_{41}:y^{2}+y=x^{5},} which was introduced in the section on hyperelliptic curves. The...49 KB (7,917 words) - 13:20, 25 August 2024
- curves) Crunode Curve Curve sketching Jacobian variety Klein quartic List of curves Hilbert's sixteenth problem Cubic plane curve Hyperelliptic curve...49 KB (7,984 words) - 19:34, 7 February 2024
- curve point multiplication Homomorphic signatures for network coding Hyperelliptic curve cryptography Pairing-based cryptography Public-key cryptography Quantum...39 KB (4,670 words) - 03:46, 2 August 2024
- Canonical bundle (redirect from Canonical curve)g − 1. When C is a hyperelliptic curve, the canonical curve is a rational normal curve, and C a double cover of its canonical curve. For example if P is...16 KB (2,529 words) - 19:58, 22 July 2024
- Branched covering (section Hyperelliptic curve)The hyperelliptic curves are prototypic examples. An unramified covering then is the occurrence of an empty ramification locus. Morphisms of curves provide...10 KB (1,702 words) - 04:20, 27 December 2022
- Bicuspid curve Cassini oval Cubic curve Elliptic curve Watt's curve Butterfly curve (algebraic) Elkies trinomial curves Hyperelliptic curve Klein quartic...8 KB (206 words) - 01:55, 24 July 2024
- of Waterloo. He is the creator of hyperelliptic curve cryptography and the independent co-creator of elliptic curve cryptography. Koblitz received his...10 KB (960 words) - 06:55, 6 May 2024
- surface Elkies trinomial curves Hyperelliptic curve Classical modular curve Cassini oval Bowditch curve Brachistochrone Butterfly curve (transcendental) Catenary...7 KB (528 words) - 02:32, 24 July 2024
- Great-circle distance Harmonograph Hedgehog (curve) [1] Hilbert's sixteenth problem Hyperelliptic curve cryptography Inflection point Inscribed square...3 KB (262 words) - 20:23, 11 March 2022
- Differential of the first kind (redirect from Hyperelliptic integral)generalise the elliptic integrals to all curves over the complex numbers. They include for example the hyperelliptic integrals of type ∫ x k d x Q ( x ) {\displaystyle...4 KB (530 words) - 04:59, 21 May 2023
- over that field. One of the most important examples of such curves is hyperelliptic curves in characteristic 2, whose Jacobian varieties have been suggested...6 KB (1,078 words) - 18:32, 8 March 2023
- curve Rose curve Bicuspid curve Cassini oval Cassinoide Cubic curve Elliptic curve Watt's curve Butterfly curve Elkies trinomial curves Hyperelliptic...47 KB (3,580 words) - 17:01, 29 June 2024
- Linear system of divisors (redirect from Characteristic linear system of an algebraic family of curves)linear systems is used in the classification of algebraic curves. A hyperelliptic curve is a curve C {\displaystyle C} with a degre 2 {\displaystyle 2} morphism...17 KB (2,898 words) - 19:02, 26 July 2024
- Christiane Peters, ECM using Edwards curves (PDF) http://hyperelliptic.org/EFD/g1p/index.html http://hyperelliptic.org/EFD/g1p/auto-twisted.html The Ed25519...10 KB (1,816 words) - 14:20, 19 July 2024
- Thomae (1870) relating theta constants to the branch points of a hyperelliptic curve (Mumford 1984, section 8). In 1824 the Abel–Ruffini theorem established...6 KB (910 words) - 17:05, 10 July 2023
- equations; or that Abelian functions and hyperelliptic transcendents would have told us anything about the properties of curves; or that the calculus of operations
- Jan Struik, A Concise History of Mathematics (1948) Note: see also Hyperelliptic curve Sylvester has given the name "Jacobian" to the functional determinant
- y,z,w]}{(x^{2}-y^{5}-y^{3},z^{3}-w^{4})}}} TODO: - hyperelliptic curves - quotient fields of curves - https://math.stackexchange.com/questions/2304521