投影空间乘积的虚分辨率

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2017-03-22 DOI:10.14231/ag-2020-013

Christine Berkesch Zamaere, D. Erman, Gregory G. Smith

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引用次数: 39

摘要

在射影空间中，Syzygies捕获了子品种复杂的几何性质。然而，当环境空间是射影空间的乘积或更一般的光滑射影环变化时，Cox环上的最小自由分辨率太长并且包含许多几何上多余的和。在本文中，我们构造了一些更短的自由复合体来更好地编码几何。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Virtual resolutions for a product of projective spaces

Syzygies capture intricate geometric properties of a subvariety in projective space. However, when the ambient space is a product of projective spaces or a more general smooth projective toric variety, minimal free resolutions over the Cox ring are too long and contain many geometrically superfluous summands. In this paper, we construct some much shorter free complexes that better encode the geometry.

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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.