摘要翻译:
本文对给定的有限生成代数(无谓词的任意运算的代数结构)a研究了a的有限生成极限代数,利用模型论和代数几何对其进行了研究。在此过程中,我们在任意代数结构上奠定了代数几何的基础。
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英文标题:
《Unification theorems in algebraic geometry》
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作者:
E. Daniyarova, A. Myasnikov, V. Remeslennikov
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最新提交年份:
2008
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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:Logic 逻辑
分类描述:Logic, set theory, point-set topology, formal mathematics
逻辑,集合论,点集拓扑,形式数学
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英文摘要:
In this paper, for a given finitely generated algebra (an algebraic structure with arbitrary operations and no predicates) A we study finitely generated limit algebras of A, approaching them via model theory and algebraic geometry. Along the way we lay down foundations of algebraic geometry over arbitrary algebraic structures.
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PDF链接:
https://arxiv.org/pdf/0808.2522