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math.AG2011
Subgroup structure of fundamental groups in positive characteristic
Lior Bary-Soroker, Manish Kumar
Let be the étale fundamental group of a smooth affine curve over an algebraically closed field of characteristic . We establish a criterion for profinite freeness of close…
math.AG2008★ 1 cited
Beilinson-Hodge cycles on semiabelian varieties
Donu Arapura, Manish Kumar
Beilinson conjectured that all rational cycles of type (q,q) on the qth cohomology of a smooth complex algebraic variety should come from motivic cohomology. The purpose of this no…
math.AG2006
Fundamental Group in nonzero characteristic
Manish Kumar
A proof of freeness of the commutator subgroup of the fundamental group of a smooth irreducible affine curve over a countable algebraically closed field of nonzero characteristic.…