Big polynomial rings and Stillman's conjecture

Big polynomial rings and Stillman's conjecture
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DOI:
10.1007/s00222-019-00889-y
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发表时间:
2019-11-01
影响因子:
3.1
通讯作者:
Snowden, Andrew
Snowden, Andrew
中科院分区:
数学1区
文献类型:
--
作者:
Erman, Daniel;Sam, Steven V.;Snowden, Andrew

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本文的目的是证明多项式环的某些极限本身就是多项式环,并展示如何利用这一观察来推导出交换代数中一些有趣的结果。特别地,我们给出了Stillman猜想的两个新证明[12,问题3.14].第一个是类似的
The purpose of this paper is to prove that certain limits of polynomial rings are themselves polynomial rings, and show how this observation can be used to deduce some interesting results in commutative algebra. In particular, we give two new proofs of Stillman’s conjecture [12, Problem 3.14]. The first is similar