Abstract
We show, for a smooth projective variety over an algebraically closed field with an effective Cartier divisor , that the torsion subgroup can be described in terms of a relative étale cohomology for any prime . This extends a classical result of Bloch, on the torsion in the ordinary Chow group, to the modulus setting. We prove the Roitman torsion theorem (including -torsion) for when is reduced. We deduce applications to the problem of invariance of the prime-to- torsion in under an infinitesimal extension of .
Citation
Amalendu Krishna. "Torsion in the 0-cycle group with modulus." Algebra Number Theory 12 (6) 1431 - 1469, 2018. https://doi.org/10.2140/ant.2018.12.1431
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