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

Lev A. Borisov; R. Paul Horja

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

Algebraic Geometry 2007-05-23 v1

Authors: Lev A. Borisov , R. Paul Horja

Abstract

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.

Keywords

k-theory toric dm stacks deligne-mumford stacks chern character weighted blowups

Cite

@article{arxiv.math/0503277,
  title  = {On the $K$-theory of smooth toric DM stacks},
  author = {Lev A. Borisov and R. Paul Horja},
  journal= {arXiv preprint arXiv:math/0503277},
  year   = {2007}
}

Comments

28 pages, LaTeX

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