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The Grothendieck Group of a Quantum Projective Space Bundle

I. Mori·S. Paul Smith
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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.

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I. Mori, S. Paul Smith. 2012-04-09. The Grothendieck Group of a Quantum Projective Space Bundle. https://doi.org/10.1007/s10977-006-0020-5

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