On the $K$-theory of smooth toric DM stacks

@article{Borisov2005OnT,
  title={On the \$K\$-theory of smooth toric DM stacks},
  author={Lev Borisov and Richard Paul Horja},
  journal={arXiv: Algebraic Geometry},
  year={2005}
}
We explicitly calculate the Grothendieck $K$-theory ring of a smooth toric Deligne-Mumford stack and define an analog of the Chern character. In addition, we calculate $K$-theory pushforwards and pullbacks for weighted blowups of reduced smooth toric DM stacks. 
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COMPUTATION OF THE GROTHENDIECK AND PICARD GROUPS OF A TORIC DM STACK BY USING A HOMOGENEOUS COORDINATE RING FOR
  • S. P. Smith
  • Mathematics
    Glasgow Mathematical Journal
  • 2010
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