平面上的最小特雷西尼线性及其泛化

AppliedMath Pub Date : 2024-04-17 DOI:10.3390/appliedmath4020028

E. Ballico

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引用次数: 0

摘要

我们研究的是投影平面中的最小特拉奇尼位置（即某些零维方案的族）的性质。这里的新成果包括：最大化定理和存在任意大的间隙或非间隙的整数 x，对于这些整数 x，度数为 d 的最小特雷西尼位置是非空的。我们还研究了极小特雷西尼集合临界方案的类似定理。这部分内容是在一个更一般的框架下进行的。

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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Minimal Terracini Loci in a Plane and Their Generalizations

We study properties of the minimal Terracini loci, i.e., families of certain zero-dimensional schemes, in a projective plane. Among the new results here are: a maximality theorem and the existence of arbitrarily large gaps or non-gaps for the integers x for which the minimal Terracini locus in degree d is non-empty. We study similar theorems for the critical schemes of the minimal Terracini sets. This part is framed in a more general framework.

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AppliedMath

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