The K-theory of toric varieties, by Willie Cortiñas, Christian Haesemeyer, Mark Walker, and Chuck Weibel

Recent advances in computational techniques for K-theory allow us to describe the K-theory of toric varieties in terms of the K-theory of fields and simple cohomological data. The cohomological data consists of the cyclic homology and the cdh-cohomology of Kähler differentials.

As an application, we give a new proof of Gubeladze's Dilation Theorem, which verifies his "nilpotence conjecture" for the action of dilations on the K-theory of toric varieties.


Willie Cortiñas <gcorti@agt.uva.es>
Christian Haesemeyer <chh@math.uiuc.edu>
Mark Walker <mwalker5@math.unl.edu>
Chuck Weibel <weibel@math.rutgers.edu>