### 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

... 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

... 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

... An important aspect in the study of

**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

... 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

... Smart

**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:

“One way to do it might be by making the scenery penetrate the automobile. A polished black sedan was a good subject, especially if parked at the intersection of a tree-bordered street and one of those heavyish spring skies whose bloated gray clouds and amoeba-shaped blotches of blue seem more physical than the reticent elms and effusive pavement. Now break the body of the car into separate *curves* and panels; then put it together in terms of reflections.”

—Vladimir Nabokov (1899–1977)

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