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The Gorthendieck Group of a Quantum Projective Space Bundle | I. Mori
; S. Paul Smith
; | Date: |
19 May 2003 | Subject: | Quantum Algebra; Algebraic Geometry MSC-class: 14A22, 16E20 | math.QA math.AG | Abstract: | We compute the Grothendieck group K_0 of non-commutative analogues of quantum projective space bundles. Our results specialize to give the Griothendieck 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. | Source: | arXiv, math.QA/0305276 | Services: | Forum | Review | PDF | Favorites |
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