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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.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…