What are elliptic curves?

Some articles on elliptic curves, curve, elliptic, elliptic curve:

Enriques–Kodaira Classification - Surfaces of Kodaira Dimension 0 - Abelian Surfaces and 2-dimensional Complex Tori
... One dimensional complex tori are just elliptic curves and are all algebraic, but Riemann discovered that most complex tori of dimension 2 are not algebraic ... Criteria to be a product of two elliptic curves (up to isogeny) were a popular study in the nineteenth century ... The Jacobian of a genus 2 curve ...
Elliptic Cohomology - Definitions and Constructions
... A particularly rich source for formal group laws are elliptic curves ... A cohomology theory A with is called elliptic if it is even periodic and its formal group law is isomorphic to a formal group law of an elliptic curve E over R ... The usual construction of such elliptic cohomology theories uses the Landweber exact functor theorem ...
Counting Points On Elliptic Curves
... An important aspect in the study of elliptic curves is devising effective ways of counting points on the curve ... Digital Signature Authentication (See elliptic curve cryptography and elliptic curve DSA) ... discrete logarithm problem (DLP) for the group, of elliptic curves over a finite field, where q = pk and p is a prime ...
Wiles's Proof Of Fermat's Last Theorem - Announcement and Subsequent Developments - Announcement and Final Proof (1993 - 1995)
... Wiles announced and presented his proof of the Taniyama–Shimura conjecture for semi-stable elliptic curves, and hence of Fermat's Last Theorem, over the course of. 1994, Wiles submitted two manuscripts, "Modular elliptic curves and Fermat's Last Theorem" and "Ring theoretic properties of certain Hecke algebras", the second of which ... established the modularity theorem for semistable elliptic curves, the last step in proving Fermat's Last Theorem, 358 years after it was conjectured ...
Counting Points On Elliptic Curves - Bibliography
... Smart Elliptic Curves in Cryptography, Cambridge University Press, 1999 ... Enge Elliptic Curves and their Applications to Cryptography An Introduction ... Schoof Counting Points on Elliptic Curves over Finite Fields ...

Famous quotes containing the word curves:

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