6 search results for “isogeny” in the Public website

• Isogeny graphs, modular polynomials, and applications Research output

  This thesis has three main parts. The first part gives an algorithm to compute Hilbert modular polynomials for ordinary abelian varieties with maximal real multiplication. Hilbert modular polynomials of a given level b give a way of finding all of the abelian varieties that are b-isogeneous to any given…

• Models of curves: The Birch and Swinnerton-Dyer conjecture & ordinary reduction Research output

  Chapter 1,contains the numerical verification of the Birch and Swinnerton-Dyer conjecture for hundreds of Jacobians of hyperelliptic curves of genus 2, 3, 4 and 5.

• Isogeny graphs, modular polynomials, and applications Event - 14 June 2018

  PhD defence

• Images of Galois representations Research output

  Promotores: S.J. Edixhoven, P.Parent

• Split Jacobians and Lower Bounds on Heights Research output

  This thesis deals with properties of Jacobians of genus two curves that cover elliptic curves.

• 6th Quantum Software Consortium General Assembly Event - 5 November 2021

  Conference