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29 March 2024
 
  » arxiv » math.QA/0305276

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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
AbstractWe 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
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