On a conjectural filtration on the Chow groups of an algebraic variety

  title={On a conjectural filtration on the Chow groups of an algebraic variety},
  author={Jacob P. Murre},
  journal={Indagationes Mathematicae},
  • J. Murre
  • Published 1 June 1993
  • Mathematics
  • Indagationes Mathematicae
Filtrations on Chow Groups and Transcendence Degree
For a smooth complex projective variety X defined over a number field, we have filtrations on the Chow groups depending on the choice of realizations. If the realization consists of mixed Hodge
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The main result of this paper is the proof for elliptic modular threefolds of conjectures on the existence and structure of a filtration on the Chow groups of smooth projective varieties. In the form
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In this paper we investigate Murre's conjecture on the Chow-Kunneth decomposition for universal families of smooth curves over spaces which dominate the moduli space Mg, in genus at most 8 and show
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We compute explicitly the Chow motive of any generalized Kummer variety associated to any abelian surface. In fact, it lies in the rigid tensor subcategory of the category of Chow motives generated
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In this paper, we prove a decomposition result for the Chow groups of projectivizations of coherent sheaves of homological dimension $\le 1$ . In this process, we establish the
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such that the /-adic realization of h (A) is H (A, Qt). Recall that Chow motives are obtained from the category of smooth projective varieties over a field by a construction of Grothendieck using äs
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