Author

S. Chidambaram

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Preprint Oct 2026

On reducible $\ell$-torsion representations of Picard curves

Let $C/\mathbb{Q}$ be a Picard curve and let $\ell\equiv1\pmod3$ be a prime such that the $\lambda$-torsion representation of the Jacobian of $C$ is reducible for a prime $\lambda$ of $\mathbb{Q}(\zeta_3)$ above $\ell$. We describe the constraints imposed by complex conjugation on the $2$-dimensional subquotient $\rho$...

Xi-Yao Chen, S. Chidambaram, Andrew Coursin et al. · 0 citations

Preprint Sep 2026

Computing residual representations of abelian threefolds with imaginary multiplication

Let $M$ be an imaginary quadratic field. Let $A$ be a polarised abelian threefold defined over $M$ with geometric endomorphism algebra isomorphic to $M$. We study residual Galois representations attached to $A$. In particular, we describe the endomorphism field and the natural restrictions placed on the residual repres...

S. Chidambaram, Pip Goodman · 0 citations