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math.NT2002
Extensions of abelian varieties defined over a number field
Matthew A. Papanikolas, Niranjan Ramachandran
We study the arithmetic aspects of the finite group of extensions of abelian varieties defined over a number field. In particular, we establish relations with special values of L-f…
math.NT2002★ 4 cited
Integral Motives and Special Values of Zeta Functions
James S. Milne, Niranjan Ramachandran
For each field k, we define an abelian category of rationally decomposed mixed motives with integer coefficients. When k is finite, we show that the category is Tannakian, and we p…