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Zero cycles on a threefold with isolated singularities
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Amalendu Krishna
Veröffentlicht/Copyright:
17. Mai 2006
Abstract
We prove a formula for the Chow group of zero cycles on a quasiprojective threefold X over a field of characteristic zero with Cohen-Macaulay isolated singularities, in terms of an inverse limit of relative Chow groups of a desingularization X˜ relative to multiples of the exceptional divisor. As an application, we give a necessary and sufficient condition for the Chow group of 0-cycles on the affine cone over a smooth projective and arithmetically Cohen-Macaulay surface to vanish. This partially answers a conjecture of Srinivas in affirmative.
Received: 2004-12-01
Revised: 2005-03-10
Published Online: 2006-05-17
Published in Print: 2006-05-01
© Walter de Gruyter
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Artikel in diesem Heft
- Traces of CM values of modular functions
- Représentations semi-stables de torsion dans le cas er < p − 1
- Zero cycles on a threefold with isolated singularities
- On the density of algebraic foliations without algebraic invariant sets
- Compactness of solutions to some geometric fourth-order equations
- Relative cohomology with respect to a Lefschetz pencil
- There are genus one curves of every index over every number field
- The uniqueness of Cuntz-Krieger type algebras
Artikel in diesem Heft
- Traces of CM values of modular functions
- Représentations semi-stables de torsion dans le cas er < p − 1
- Zero cycles on a threefold with isolated singularities
- On the density of algebraic foliations without algebraic invariant sets
- Compactness of solutions to some geometric fourth-order equations
- Relative cohomology with respect to a Lefschetz pencil
- There are genus one curves of every index over every number field
- The uniqueness of Cuntz-Krieger type algebras
