摘要翻译:
给出了一个无穷生成Derksen不变量的UFD的例子。环是\textquotedblleft几乎刚性\textquotedblright\,这意味着Derksen不变量等于Makar-Limanov不变量。讨论了证明环是(几乎)刚性的技术,其中包括Mason的ABC定理的推广。
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英文标题:
《Constructing (almost) rigid rings and a UFD having infinitely generated
Derksen and Makar-Limanov invariant》
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作者:
David Finston, Stefan Maubach
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最新提交年份:
2007
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分类信息:
一级分类:Mathematics 数学
二级分类:Algebraic Geometry 代数几何
分类描述:Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇,叠,束,格式,模空间,复几何,量子上同调
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一级分类:Mathematics 数学
二级分类:Commutative Algebra 交换代数
分类描述:Commutative rings, modules, ideals, homological algebra, computational aspects, invariant theory, connections to algebraic geometry and combinatorics
交换环,模,理想,同调代数,计算方面,不变理论,与代数几何和组合学的联系
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英文摘要:
An example is given of a UFD which has infinitely generated Derksen invariant. The ring is \textquotedblleft almost rigid\textquotedblright\ meaning that the Derksen invariant is equal to the Makar-Limanov invariant. Techniques to show that a ring is (almost) rigid are discussed, among which is a generalization of Mason's abc-theorem.
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PDF链接:
https://arxiv.org/pdf/0706.4184