Abstract
Abstract
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 decomposition of Chow groups for the cases of the Cayley trick and standard flips. Moreover, we apply these results to study the Chow groups of symmetric powers of curves, nested Hilbert schemes of surfaces, and the varieties resolving Voisin maps for cubic fourfolds.
Funder
Engineering and Physical Sciences Research Council
Publisher
Cambridge University Press (CUP)
Reference55 articles.
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