P3上c1 = 0, c2 = 3的稳定秩3向量束

IF 0.2 Q4 MATHEMATICS

REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES Pub Date : 2023-01-01 DOI:10.59277/rrmpa.2023.33.66

I. Coandă

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引用次数: 0

摘要

我们澄清了Ein, Hartshorne和Vogelaar[8]关于在射影三维空间上c1 = 0的稳定3阶向量束对一般平面的限制的结果c2 = 3的未确定情况。结果表明，稳定约束性质的例外比三位作者推测的要多。其中一个是施瓦岑贝格束(扭曲- 1);c3 = 6。c3 = 2也有一些例外(当然，加上它们的对偶)。

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STABLE RANK 3 VECTOR BUNDLES ON P3 WITH c1 = 0, c2 = 3

We clarify the undecided case c2 = 3 of a result of Ein, Hartshorne and Vogelaar [8] about the restriction of a stable rank 3 vector bundle with c1 = 0 on the projective 3-space to a general plane. It turns out that there are more exceptions to the stable restriction property than those conjectured by the three authors. One of them is a Schwarzenberger bundle (twisted by −1); it has c3 = 6. There are also some exceptions with c3 = 2 (plus, of course, their duals).

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REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES MATHEMATICS-

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0.50

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0.00%

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