论文标题
捏动azumaya代数
Pinching Azumaya algebras
论文作者
论文摘要
我们表明，对于从X到Y的方案的形态，这是有限的许多封闭点的有限修改，如果Azumaya代数为X代表Y上的Y型brauer类，则其回调为X代表Azumaya代数。一部分证明使用了Ferrand的结果扩展，在将有限的本地无款滑轮夹到Azumaya代数方面。
We show, that for a morphism of schemes from X to Y, that is a finite modification in finitely many closed points, a cohomological Brauer class on Y is represented by an Azumaya algebra if its pullback to X is represented by an Azumaya algebra. Part of the proof uses an extension of a result by Ferrand, on pinching of finite locally free sheaves, to Azumaya algebras.
