Ramesh Sreekantan

activity

20242026

collaborators

5 papers

math.AG2026

Algebraic cycles and values of Green's functions -- Products of Elliptic Curves

Ramesh Sreekantan

Gross and Zagier defined certain `higher Green's functions' on products of modular curves and conjectured that the value of these functions at complex multiplication points should…

math.AG2026

Torsion cycles on Fermat varieties

Ramesh Sreekantan

A theorem of Manin and Drinfeld states that any divisor of degree $0$ on the cusps of a modular curve is torsion in the Jacobian. An elegant proof of this result was provided by El…

math.NT2025

Equations defining Jacobians with Real Multiplication

Rahul Mistry, Ramesh Sreekantan

If $C : y^{2} = x (x - 1) (x - a_{1}) (x - a_{2}) (x - a_{3})$ is genus $2$ curve a natural question to ask is: Under what conditions on $a_{1}, a_{2}, a_{3}$ does the Jacobian $J (C)$ have real multiplication by…

math.AG2024

Indecomposable motivic cycles on K3 surfaces of degree 2

Ramesh Sreekantan

In this paper we construct new indecomposable motivic cycles in the group $H_{M}^{3} (X, Q (2))$ where X is a degree 2 K3 surface. This generalizes our construction i…

math.AG2024

Motivic cycles on K3 double covers of del Pezzo surfaces

Ramesh Sreekantan

We construct motivic cohomology cycles in the group $H_{M}^{3} (Z, Q (2))$ where $Z$ is a K3 surface obtained as a double cover of a del Pezzo surface $X$ branched at…