scholarly journals The Cayley Trick, lifting subdivisions and the Bohne-Dress theorem on zonotopal tilings

2000 ◽  
Vol 2 (2) ◽  
pp. 179-198 ◽  
Author(s):  
Birkett Huber ◽  
Jörg Rambau ◽  
Francisco Santos
Keyword(s):  
2020 ◽  
Vol 224 (3) ◽  
pp. 1215-1240 ◽  
Author(s):  
Rodrigo Gondim ◽  
Francesco Russo ◽  
Giovanni Staglianò
Keyword(s):  

Author(s):  
Qingyuan Jiang

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.


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