Twisting Commutative Algebraic Groups

@article{Mazur2006TwistingCA,
  title={Twisting Commutative Algebraic Groups},
  author={Barry Mazur and Karl Rubin and Alice Silverberg},
  journal={Journal of Algebra},
  year={2006},
  volume={314},
  pages={419-438}
}
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43 Citations
Highly Influential Citations
5
Background Citations
12
Methods Citations
4
Results Citations
1

43 Citations

Applications to cryptography of twisting commutative algebraic groups
  • A. Silverberg
  • Mathematics, Computer Science
    Discret. Appl. Math.
  • 2008
Artin representations attached to pairs of isogenous abelian varieties
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. We discuss the inverse Galois problem with normal basis, concerning Kummertheories for algebraic tori, in the framework of group schemes. The unit group scheme of a group algebra plays an important…
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Finding Large Selmer Rank via an Arithmetic Theory of Local Constants
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Selmer ranks of quadratic twists of elliptic curves with partial rational two-torsion
We study the parity of 2-Selmer ranks in the family of quadratic twists of an arbitrary elliptic curve E over an arbitrary number eld K. We prove that the fraction of twists (of a given elliptic…
ON SELMER RANK PARITY OF TWISTS
In this paper we study the variation of the $p$ -Selmer rank parities of $p$ -twists of a principally polarized Abelian variety over an arbitrary number field $K$ and show, under certain assumptions,…
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TLDR
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