supersingular curve

supersingular curve
мат.
суперсингулярная кривая

English-Russian scientific dictionary. 2008.

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  • Supersingular elliptic curve — In algebraic geometry, a branch of mathematics, supersingular elliptic curves form a certain class of elliptic curves over a field of characteristic p > 0. Elliptic curves over such fields which are not supersingular are called… …   Wikipedia

  • Supersingular prime — If E is an elliptic curve defined over the rational numbers, then a prime p is supersingular for E if the reduction of E modulo p is a supersingular elliptic curve over the residue field Fp. More generally, if K is any global field mdash; i.e., a …   Wikipedia

  • Supersingular K3 surface — In algebraic geometry, a supersingular K3 surface is a particular type of K3 surface. Such an algebraic surface has its cohomology generated by algebraic cycles; in other words, since the second Betti number [In the case of a base field other… …   Wikipedia

  • Plane curve — In mathematics, a plane curve is a curve in a Euclidean plane (cf. space curve). The most frequently studied cases are smooth plane curves (including piecewise smooth plane curves), and algebraic plane curves. A smooth plane curve is a curve in a …   Wikipedia

  • Hasse–Witt matrix — In mathematics, the Hasse–Witt matrix H of a non singular algebraic curve C over a finite field F is the matrix of the Frobenius mapping (p th power mapping where F has q elements, q a power of the prime number p) with respect to a basis for the… …   Wikipedia

  • Hasse-Witt matrix — In mathematics, the Hasse Witt matrix H of a non singular algebraic curve C over a finite field F is the matrix of the Frobenius mapping ( p th power mapping where F has q elements, q a power of the prime number p ) with respect to a basis for… …   Wikipedia

  • List of mathematics articles (S) — NOTOC S S duality S matrix S plane S transform S unit S.O.S. Mathematics SA subgroup Saccheri quadrilateral Sacks spiral Sacred geometry Saddle node bifurcation Saddle point Saddle surface Sadleirian Professor of Pure Mathematics Safe prime Safe… …   Wikipedia

  • Formal group — In mathematics, a formal group law is (roughly speaking) a formal power series behaving as if it were the product of a Lie group. They were first defined in 1946 by S. Bochner. The term formal group sometimes means the same as formal group law,… …   Wikipedia

  • Crystalline cohomology — In mathematics, crystalline cohomology is a Weil cohomology theory for schemes introduced by Alexander Grothendieck (1966, 1968) and developed by Pierre Berthelot (1974). Its values are modules over rings of Witt vectors over the base… …   Wikipedia

  • Elkies — Noam Elkies 2005 Noam Elkies 2007 Noam D. Elkies (* 25. August 1966 in New York City) ist ein israelisch amerikanischer Mathematiker, der sich mit Zahlentheorie und Kombinatorik besc …   Deutsch Wikipedia

  • Noam Elkies — 2005 Noam Elkies 2007 Noam David Elkies (* …   Deutsch Wikipedia


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