The Grothendieck Group of a Quantum Projective Space Bundle

Details The Grothendieck Group of a Quantum Projective Space Bundle The Grothendieck Group of a Quantum Projective Space Bundle

2003-05-19

arxiv.org/abs/math/0305276v3

K-Theory, 37 (2006) 263-289

Mathematics

Quantum Algebra

This paper is being replaced so I can correct the metadata, the title! I (Paul) spelled Grothendieck's name incorrectly. The p

Scientific paper

10.1007/S10977-006-0020-5

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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