Communications in Analysis and Geometry

Volume 16 (2008)

Number 1

Note on orbifold Chow ring of semi-projective toric Deligne-Mumford stacks

Pages: 231 – 250

DOI: http://dx.doi.org/10.4310/CAG.2008.v16.n1.a8

Authors

Yunfeng Jiang

Hsian-Hua Tseng

Abstract

We prove a formula for the orbifold Chow ring of semi-projective toric Deligne-Mumford (DM) stacks, generalizing the orbifold Chow ring formula of projective toric DM stacks by Borisov-Chen- Smith. We also consider a special kind of semi-projective toric DM stacks, the Lawrence toric DM stacks. We prove that the orbifold Chow ring of a Lawrence toric DM stack is isomorphic to the orbifold Chow ring of its associated hypertoric DM stack studied in Y. Jiang and H.-H. Tseng, The orbifold Chow ring of hypertoric Deligne-Mumford stacksi>, J. Reine Angew. Math. (Crelle's Journal), to appear, math.AG/0512199.

Full Text (PDF format)