7 citations · 7 across the 1 of their papers we have counts for
3 papers
math.AG2022
Derived categories of curves of genus one and torsors over abelian varieties
Niranjan Ramachandran, Jonathan Rosenberg
Suppose is a smooth projective curve of genus 1 over a perfect field , and is its Jacobian. In the case that has no -rational points, so that and are not…
math.OA2005★ 7 cited
KMS states and complex multiplication
Alain Connes, Matilde Marcolli, Niranjan Ramachandran
We construct a quantum statistical mechanical system which generalizes the Bost-Connes system to imaginary quadratic fields K of arbitrary class number and fully incorporates the e…
math.AG2001
From Jacobians to one-motives: exposition of a conjecture of Deligne
Niranjan Ramachandran
Deligne has conjectured that certain mixed Hodge theoretic invariants of complex algebraic invariants are motivic. This conjecture specializes to an algebraic construction of the J…