关于$\mathbb{P}^2$上的两个向量束的不变秩

IF 0.8 3区数学 Q2 MATHEMATICS

Publicacions Matematiques Pub Date : 2020-10-13 DOI:10.5565/publmat6712306

Simone Marchesi, J. Vallès

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引用次数: 0

摘要

本文刻画了在投影平面上固定点的Gp:= Stabp(PGL(3))、固定直线的GL:= StabL(PGL(3))和T = Gp∩GL作用下p2上的两个秩向量束的不变性，并且证明了由不变性引起的跳跃轨迹的几何构型并不表征不变性本身。事实上，我们发现有无限个族几乎是均匀的，但不是均匀的。

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On invariant rank two vector bundles on $\mathbb{P}^2$

In this paper we characterize the rank two vector bundles on P 2 which are invariant under the action of Gp := Stabp(PGL(3)), that fixes a point in the projective plane, GL := StabL(PGL(3)), that fixes a line, and T = Gp ∩ GL. Moreover, we prove that the geometrical configuration of the jumping locus induced by the invariance does not, on the other hand, characterize the invariance itself. Indeed, we find infinity families that are almost uniform but not almost homogeneous.

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来源期刊

Publicacions Matematiques 数学-数学

CiteScore

1.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Publicacions Matemàtiques is a research mathematical journal published by the Department of Mathematics of the Universitat Autònoma de Barcelona since 1976 (before 1988 named Publicacions de la Secció de Matemàtiques, ISSN: 0210-2978 print, 2014-4369 online). Two issues, constituting a single volume, are published each year. The journal has a large circulation being received by more than two hundred libraries all over the world. It is indexed by Mathematical Reviews, Zentralblatt Math., Science Citation Index, SciSearch®, ISI Alerting Services, COMPUMATH Citation Index®, and it participates in the Euclid Project and JSTOR. Free access is provided to all published papers through the web page. Publicacions Matemàtiques is a non-profit university journal which gives special attention to the authors during the whole editorial process. In 2019, the average time between the reception of a paper and its publication was twenty-two months, and the average time between the acceptance of a paper and its publication was fifteen months. The journal keeps on receiving a large number of submissions, so the authors should be warned that currently only articles with excellent reports can be accepted.