S. Chidambaram

activity

20192021

collaborators

3 papers

math.NT2021

Quadratic Chabauty for Atkin-Lehner Quotients of Modular Curves of Prime Level and Genus 4, 5, 6

Nikola Adžaga, Vishal Arul, Lea Beneish +4

We use the method of quadratic Chabauty on the quotients $X_{0}^{+} (N)$ of modular curves $X_{0} (N)$ by their Fricke involutions to provably compute all the rational points of these curv…

math.NT2020

Abelian surfaces with fixed $3$ -torsion

Frank Calegari, Shiva Chidambaram, David P. Roberts

Given a genus two curve $X : y^{2} = x^{5} + a x^{3} + b x^{2} + c x + d$ , we give an explicit parametrization of all other such curves $Y$ with a specified symplectic isomorphism on three-…

math.NT2019

Some modular abelian surfaces

Frank Calegari, Shiva Chidambaram, Alexandru Ghitza

We use the main theorem of Boxer-Calegari-Gee-Pilloni (arXiv:1812.09269) to give explicit examples of modular abelian surfaces $A$ over $Q$ without extra endomorhpisms suc…

Quadratic Chabauty for Atkin-Lehner Quotients of Modular Curves of Prime Level and Genus 4, 5, 6

Abelian surfaces with fixed 3-torsion

Some modular abelian surfaces

Abelian surfaces with fixed $3$ -torsion