Search results for "Twists of curves"

showing 2 items of 2 documents

Vector Bundles and Torsion Free Sheaves on Degenerations of Elliptic Curves

2006

In this paper we give a survey about the classification of vector bundles and torsion free sheaves on degenerations of elliptic curves. Coherent sheaves on singular curves of arithmetic genus one can be studied using the technique of matrix problems or via Fourier-Mukai transforms, both methods are discussed here. Moreover, we include new proofs of some classical results about vector bundles on elliptic curves.

AlgebraPure mathematicsElliptic curveMathematics::Algebraic GeometryLine bundleTorsion (algebra)Vector bundleSchoof's algorithmTwists of curvesSupersingular elliptic curveMathematicsCoherent sheaf
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On the number of prime divisors of the order of elliptic curves modulo p

2005

CombinatoricsDiscrete mathematicsAlgebra and Number TheorySato–Tate conjectureCounting points on elliptic curvesSchoof's algorithmTwists of curvesSupersingular elliptic curveLenstra elliptic curve factorizationPrime (order theory)Division polynomialsMathematicsActa Arithmetica
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