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):  
Cayley Trick

scholarly journals Hypersurfaces with vanishing hessian via Dual Cayley Trick

2020 ◽  
Vol 224 (3) ◽  
pp. 1215-1240 ◽  
Author(s):  
Rodrigo Gondim ◽  
Francesco Russo ◽  
Giovanni Staglianò
Keyword(s):  
Cayley Trick

scholarly journals ON THE CHOW THEORY OF PROJECTIVIZATIONS

2021 ◽  
pp. 1-44
Author(s):  
Qingyuan Jiang
Keyword(s):  
Chow Groups ◽  
Homological Dimension ◽  
Hilbert Schemes ◽  
Symmetric Powers ◽  
Coherent Sheaves ◽  
Cayley Trick

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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