V2EX quasi-coherent

Quasi-coherent

释义 Definition

准连贯的;近似连贯的:指某种表达、叙述或整体结构大体连贯但不完全严密
在数学(尤其代数几何)中,quasi-coherent 最常见于 quasi-coherent sheaf(准凝聚层/拟凝聚层),指一类与“由模局部给出”的结构相匹配、性质良好的层,是研究概形的基础对象之一。

例句 Examples

The report was quasi-coherent but full of gaps.
这份报告大体还算连贯,但漏洞很多。

In algebraic geometry, quasi-coherent sheaves generalize modules on affine schemes and behave well under many constructions.
在代数几何中,准凝聚层把仿射概形上的模推广到更一般情形,并且在许多构造下表现良好。

发音 Pronunciation (IPA)

/kwza khrnt/ (美式常见)
/kwzi khrnt/ (英式常见)

词源 Etymology

quasi- 来自拉丁语 quasi,意为“仿佛、近似”;coherent 来自拉丁语 cohaerēre(“粘在一起、连贯”)。合起来就是“近似连贯”。在数学语境中,“quasi-”常表示“接近某种理想性,但不必完全满足”的概念延伸。

相关词 Related Words

文学与经典著作 Literary Works

  • Robin Hartshorne, Algebraic Geometry(多处讨论 quasi-coherent sheaves
  • A. Grothendieck & J. Dieudonné, *léments de géométrie algébrique (EGA)*(系统引入并使用相关概念)
  • The Stacks Project(在线权威参考资料,频繁使用 quasi-coherent 作为核心术语)
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