On Murre’s conjectures for blow-ups: a constructive approach

Abstract

We show, by an explicit construction of the relevant Chow-Kunneth projectors, that if X is the quotient of a smooth projective variety by a finite group action and Y is obtained from X by blowing up a finite set of points, then (under appropriate hypotheses) each of Murre’s conjectures holds for Y if and only if it holds for X. The novelty of our approach… (More)

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Cite this paper

@inproceedings{Akhtar2013OnMC, title={On Murre’s conjectures for blow-ups: a constructive approach}, author={Reza Akhtar and Roy Joshua}, year={2013} }