New results on fat points schemes in $\mathbb{P}^2$

Q3 Mathematics Electronic Research Announcements in Mathematical Sciences Pub Date : 2013-04-01 DOI:10.3934/ERA.2013.20.51

M. Dumnicki, T. Szemberg, H. Tutaj-Gasinska

引用次数: 0

Abstract

The purpose of this note is to announce two results, Theorem A and Theorem B below, concerning geometric and algebraic properties of fat points in the complex projective plane. Their somewhat technical proofs are available in [10] and will be published elsewhere. Here we present only main ideas which are fairly transparent.

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$\mathbb{P}^2$中肥点格式的新结果

这篇笔记的目的是宣布两个结果，即下面的定理A和定理B，它们是关于复射影平面上胖点的几何和代数性质的。他们的技术证明可以在b[10]中找到，并将在其他地方发表。在这里，我们只提出一些相当透明的主要观点。

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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来源期刊

Electronic Research Announcements in Mathematical Sciences 数学-数学

CiteScore

0.90

自引率

0.00%

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审稿时长

>12 weeks

期刊介绍： Electronic Research Archive (ERA), formerly known as Electronic Research Announcements in Mathematical Sciences, rapidly publishes original and expository full-length articles of significant advances in all branches of mathematics. All articles should be designed to communicate their contents to a broad mathematical audience and must meet high standards for mathematical content and clarity. After review and acceptance, articles enter production for immediate publication. ERA is the continuation of Electronic Research Announcements of the AMS published by the American Mathematical Society, 1995—2007

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