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arXiv 0912.0307math.QAmath.RT
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几乎交换代数的Azumaya轨迹

On the Azumaya locus of almost commutative algebras

Akaki Tikaradze

摘要:

本文证明了一个一般性命题,它包含一个代数的中心的Azumaya与光滑轨迹重合的正特征,只要它的分次代数的谱有一个大的辛叶.特别是,我们表明,辛反射代数光滑和Azumaya轨迹重合。

英文摘要:

We prove a general statement which implies the coincidence of the Azumaya and smooth loci of the center of an algebra in positive characteristic, provided that the spectrum of its associated graded algebra has a large symplectic leaf. In particular, we show that for a symplectic reflection algebra smooth and the Azumaya loci coincide.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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