Valuation rings are derived splinters
Valuation rings are derived splinters
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估值环是派生的碎片
DOI：
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发表时间：
2020
影响因子：
0.8
通讯作者：
Rankeya Datta
中科院分区：
文献类型：
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作者：
Benjamin Antieau;Rankeya Datta
我们给出了赋值环是派生分裂的三种证明：使用绝对积分闭包的几何证明，将赋值环归结为检验赋值环是分裂的同调证明(这在第二作者的博士论文中完成，我们在这里重复)，以及通过逼近证明将问题归结为Bhatt对派生的直接和猜想的证明。这一逼近性质还表明赋值环上的光滑代数是分裂的。
We give three proofs that valuation rings are derived splinters: a geometric proof using absolute integral closure, a homological proof which reduces the problem to checking that valuation rings are splinters (which is done in the second author’s PhD thesis and which we reprise here), and a proof by approximation which reduces the problem to Bhatt’s proof of the derived direct summand conjecture. The approximation property also shows that smooth algebras over valuation rings are splinters.
弗罗贝尼乌斯和估值环
影响因子：
1.3
作者：
Datta, Rankeya;Smith, Karen
通讯作者：
Smith, Karen