关于某些三次复形的合理性问题

Indagationes Mathematicae (Proceedings) Pub Date : 1988-12-19 DOI:10.1016/S1385-7258(88)80015-5

A. Alzati , M. Bertolini

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引用次数: 1

摘要

设V是中光滑的一般二次曲面和三次超曲面的完全交集ℙ5(ℂ). V是一个非理性的三重法诺。研究V包含n个平面时的合理性是很有趣的。当平面只在一点上二乘二相遇时，这个问题就解决了。我们考虑并解决所有剩余案件。

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On the problem of rationality for some cubic complexes

Let V be the complete intersection of smooth, generic quadric and cubic hypersurfaces in ℙ⁵(ℂ). V is a non rational Fano threefold. It is interesting to study the rationality of V when it contains n planes. This problem has been solved when the planes meet two by two in one point only. We consider and solve all remaining cases.

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Indagationes Mathematicae (Proceedings)

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