K-Theory of Algebraic Tori and Toric Varieties

K-Theory ◽  
1997 ◽  
Vol 12 (2) ◽  
pp. 101-143 ◽  
Author(s):  
A. S. Merkurjev ◽  
I. A. Panin
Keyword(s):  
Toric Varieties ◽  
Algebraic Tori ◽  
K Theory

scholarly journals The $K$-theory of toric varieties

2009 ◽  
Vol 361 (06) ◽  
pp. 3325-3325 ◽  
Author(s):  
G. Cortiñas ◽  
C. Haesemeyer ◽  
Mark E. Walker ◽  
C. Weibel
Keyword(s):  
Toric Varieties ◽  
K Theory

scholarly journals Higher K-Theory of Toric Varieties

K-Theory ◽  
2003 ◽  
Vol 28 (4) ◽  
pp. 285-327 ◽  
Author(s):  
Joseph Gubeladze
Keyword(s):  
Toric Varieties ◽  
K Theory

scholarly journals On the arithmetic dynamics of monomial maps

2018 ◽  
Vol 39 (12) ◽  
pp. 3388-3406 ◽  
Author(s):  
JAN-LI LIN
Keyword(s):  
Toric Varieties ◽  
Height Growth ◽  
Arithmetic Dynamics ◽  
Algebraic Tori

We prove several results for the arithmetic dynamics of monomial maps, including Silverman’s conjectures on height growth, dynamical Mordell–Lang conjecture, and dynamical Manin–Mumford conjecture. These results were originally known for monomial maps on algebraic tori. We extend them to arbitrary toric varieties.

scholarly journals The nilpotence conjecture in K-theory of toric varieties

2005 ◽  
Vol 160 (1) ◽  
pp. 173-216 ◽  
Author(s):  
Joseph Gubeladze
Keyword(s):  
Toric Varieties ◽  
K Theory

scholarly journals Equivariant K-theory of smooth toric varieties

2007 ◽  
Vol 59 (2) ◽  
pp. 203-231 ◽  
Author(s):  
Silvano Baggio
Keyword(s):  
Toric Varieties ◽  
K Theory

scholarly journals The K -theory of toric varieties in positive characteristic

2013 ◽  
Vol 7 (1) ◽  
pp. 247-286 ◽  
Author(s):  
G. Cortiñas ◽  
C. Haesemeyer ◽  
Mark E. Walker ◽  
C. Weibel
Keyword(s):  
Positive Characteristic ◽  
Toric Varieties ◽  
K Theory
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