The Grothendieck Group of a Quantum Projective Space Bundle
The Grothendieck Group of a Quantum Projective Space Bundle
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量子射影空间丛的格洛腾迪克群
DOI：
10.1007/s10977-006-0020-5
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发表时间：
2003
期刊：
影响因子：
--
通讯作者：
S. P. Smith
中科院分区：
文献类型：
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作者：
I. Mori;S. P. Smith
我们计算了量子射影空间丛的非对易类比的Grothendieck群K0。我们的结果专门给出了射影空间的非对易类似物的Grothendieck群，并在正则Noether分离格式上恢复了通常的射影空间丛的Grothendieck群。作为应用，我们发展了Van den Bergh定义的量子直纹曲面的交集理论。
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.