The Grothendieck Group of a Quantum Projective Space Bundle
Quantum Algebra
2012-04-11 v3 Algebraic Geometry
Abstract
We compute the Grothendieck group K_0 of non-commutative analogues of quantum projective space bundles. Our results specialize to give the Grothendieck groups of non-commutative analogues of projective spaces, and specialize to recover the Grothendieck group of a usual projective space bundle over a regular noetherian separated scheme. As an application we develop an intersection theory for the quantum ruled surfaces defined by Van den Bergh.
Cite
@article{arxiv.math/0305276,
title = {The Grothendieck Group of a Quantum Projective Space Bundle},
author = {I. Mori and S. Paul Smith},
journal= {arXiv preprint arXiv:math/0305276},
year = {2012}
}
Comments
This paper is being replaced so I can correct the metadata, the title! I (Paul) spelled Grothendieck's name incorrectly. The paper is being reposted with the journal reference and doi added to the metadata