Corpus ID: 119603271

On the completely faithfulness of the p-free quotient modules of dual Selmer groups

@article{Lim2015OnTC,
  title={On the completely faithfulness of the p-free quotient modules of dual Selmer groups},
  author={M. F. Lim},
  journal={arXiv: Number Theory},
  year={2015}
}
  • M. F. Lim
  • Published 2015
  • Mathematics
  • arXiv: Number Theory
  • In this paper, we consider the question of completely faithfulness of the p-free quotient module of the dual Selmer groups of elliptic curves defined over a noncommutative p-adic Lie extension. Our question will refine previous questions on the completely faithfulness of dual Selmer groups. We will also formulate and study an analogous question for the dual Selmer groups of Hida deformations. We then give positive answer to our question in certain cases. We will also establish a control theorem… CONTINUE READING

    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 29 REFERENCES
    The arithmetic of elliptic curves
    • 3,498
    • PDF
    Lectures on modules and rings
    • 1,133
    The GL2 Main Conjecture for Elliptic Curves without Complex Multiplication
    • 180
    • Highly Influential
    • PDF
    Completely Faithful Selmer Groups over Kummer Extensions
    • 61
    • PDF
    A noncommutative Weierstrass preparation theorem and applications to Iwasawa theory
    • 77
    • Highly Influential
    • PDF
    MODULES OVER IWASAWA ALGEBRAS
    • 69
    • PDF