覆盖线和圆锥连接品种

Le Matematiche Pub Date : 2011-05-30 DOI:10.4418/2011.66.2.12

Simone Marchesi, Alex Massarenti, Saeed Tafazolian

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引用次数: 3

摘要

研究了被线覆盖的嵌入变量的一些性质，并给出了通过其一般点的两个奇异二次曲线存在的一个数值准则。我们表明我们的标准是尖锐的。圆锥连接型、线覆盖型、QEL型、LQEL型、素数型、缺陷型和双缺陷型品种关系密切。我们利用Ein和Zak的基本结果研究了上述两类对象之间的关系。

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COVERED BY LINES AND CONIC CONNECTED VARIETIES

We study some properties of an embedded variety covered by lines and give a numerical criterion ensuring the existence of a singular conic through two of its general points. We show that our criterion is sharp. Conic-connected, covered by lines, QEL, LQEL, prime Fano, defective, and dual defective varieties are closely related. We study some relations between the above mentioned classes of objects using basic results by Ein and Zak.

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Le Matematiche

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