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math.AG2009
Beilinson-Tate cycles on semiabelian varieties
Donu Arapura, Manish Kumar
Along the lines of Hodge and Tate conjectures, Beilinson conjectured that in the qth cohomology all the weight 2q Hodge cycles of a smooth complex variety and all the weight 2q Tat…
math.AG2009
The fundamental group of affine curves in positive characteristic
Manish Kumar
It is shown that the commutator subgroup of the fundamental group of a smooth affine curve over an uncountable algebraically closed field of positive characteristic is a profin…