Definition of Hyperelliptic. Meaning of Hyperelliptic. Synonyms of Hyperelliptic

- 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...
- In mathematics, a hyperelliptic surface, or bi-elliptic surface, is a minimal surface whose Albanese morphism is an elliptic fibration without singular...
- curve for higher genus hyperelliptic curves arises in the same way with higher power monomials in x. Otherwise, for non-hyperelliptic C which means g is at...
- Hyperelliptic curve cryptography is similar to elliptic curve cryptography (ECC) insofar as the Jacobian of a hyperelliptic curve is an abelian group...
- to all curves over the complex numbers. They include for example the hyperelliptic integrals of type ∫ x k d x Q ( x ) {\displaystyle \int {\frac {x^{k}\...
- there are two types of hyperelliptic curves, a class of algebraic curves: real hyperelliptic curves and imaginary hyperelliptic curves which differ by...
- 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 genus...
- developments in using hyperelliptic curves to factor integers. Cosset shows in his article (of 2010) that one can build a hyperelliptic curve with genus two...
- Cryptographic Research at the University of Waterloo. He is the creator of hyperelliptic curve cryptography and the independent co-creator of elliptic curve...
- and supersingular Enriques surfaces in characteristic 2, and quasi-hyperelliptic surfaces in characteristics 2 and 3. The Enriques–Kodaira classification...