A primer on Seshadri constants
A primer on Seshadri constants
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DOI：
10.1090/conm/496/09718
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发表时间：
2008-10
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影响因子：
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通讯作者：
Thomas Bauer;S. Rocco;B. Harbourne;Michał Kapustka;A. L. Knutsen;W. Syzdek;T. Szemberg
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文献类型：
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作者：
Thomas Bauer;S. Rocco;B. Harbourne;Michał Kapustka;A. L. Knutsen;W. Syzdek;T. Szemberg
Seshadri常数表达了一个所谓的局部阳性在投影品种上的界限。他们是由Demailly介绍的。最初将它们用于证明藤田猜想的想法失败了，但它们本身很快就成为了深入研究的主题。拉扎尔斯菲尔德（Lazarsfeld）的书《代数几何形状的积极性》包含了整个章节，专门致力于本地积极性，并将其作为对Seshadri常数的非常愉快的介绍。自从这本书出现以来，该主题见证了很多发展。这些笔记的目的是说明最近的进展以及讨论许多开放问题并提供一些例子。
Seshadri constants express the so called local positivity of a line bundle on a projective variety. They were introduced by Demailly. The original idea of using them towards a proof of the Fujita conjecture failed but they quickly became a subject of intensive study quite in their own right. Lazarsfeld's book "Positivity in Algebraic Geometry" contains a whole chapter devoted to local positivity and serves as a very enjoyable introduction to Seshadri constants. Since this book has appeared, the subject witnessed quite a bit of development. It is the aim of these notes to give an account of recent progress as well as to discuss many open questions and provide some examples.