原位适当映射的同调有限性

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2024-04-25 DOI:10.1007/s00009-024-02646-9

Javier Sánchez González

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引用次数: 0

摘要

我们为图式有限空间引入了适当态的概念，并证明了与之类似的格罗内狄克有限性定理。我们所采用的技术进一步发展了图式空间和前形态理论，这些技术最终建立在环的平面外形变的下降性质上，这些性质适用于其他情况，以弱化有限呈现的要求。

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Finiteness of Cohomology for Pro-locally Proper Maps

We introduce a notion of proper morphism for schematic finite spaces and prove the analog of Grothendieck’s finiteness theorem for it. The techniques we employ, which further develop the theory of schematic spaces and proschemes, are ultimately founded on descent properties of flat epimorphisms of rings that are applicable in other situations in order to weaken finite presentation requirements.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.

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