CHOW GROUPS, CHOW COHOMOLOGY, AND LINEAR VARIETIES
Copyright policy )CHOW GROUPS, CHOW COHOMOLOGY, AND LINEAR VARIETIES
AbstractWe compute the Chow groups and the Fulton–MacPherson operational Chow cohomology ring for a class of singular rational varieties including toric varieties. The computation is closely related to the weight filtration on the ordinary cohomology of these varieties. We use the computation to answer one of the open problems about operational Chow cohomology: it does not have a natural map to ordinary cohomology.
- University of California, Los Angeles United States
- University of California, San Francisco United States
14F42, Numerical and Computational Mathematics, Pure mathematics, Applied mathematics, Pure Mathematics, Mathematical Sciences, 14C15 (primary), Chow group, 14M20 (secondary), rational variety, (Equivariant) Chow groups and rings; motives, Motivic cohomology; motivic homotopy theory, QA1-939, cohomology, Rational and unirational varieties, Mathematics
14F42, Numerical and Computational Mathematics, Pure mathematics, Applied mathematics, Pure Mathematics, Mathematical Sciences, 14C15 (primary), Chow group, 14M20 (secondary), rational variety, (Equivariant) Chow groups and rings; motives, Motivic cohomology; motivic homotopy theory, QA1-939, cohomology, Rational and unirational varieties, Mathematics
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