On the Grothendieck Groups of Toric Stacks

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2017 On the Grothendieck Groups of Toric Stacks

Zheng Hua

Taiwanese J. Math. 21(3): 665-670 (2017). DOI: 10.11650/tjm/7347

Abstract

In this short note, we give an elementary proof for the fact that the Grothendieck group of complete toric Deligne-Mumford stack is torsion free.

Zheng Hua. "On the Grothendieck Groups of Toric Stacks." Taiwanese J. Math. 21 (3) 665 - 670, 2017. https://doi.org/10.11650/tjm/7347

Published: 2017

First available in Project Euclid: 1 July 2017

MathSciNet: MR3661386

Digital Object Identifier: 10.11650/tjm/7347

Subjects:

Primary: 14M25, 16E20

Keywords: $K$-theory, Grothendieck group, Stanley-Reisner ring, toric stacks

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Vol.21 • No. 3 • 2017

Mathematical Society of the Republic of China