On rational and ruled double planes
On rational and ruled double planes
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在有理平面和直纹双平面上
DOI：
10.1007/s102310100037
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发表时间：
2002
影响因子：
1
通讯作者：
A. Calabri
中科院分区：
文献类型：
--
作者：
A. Calabri
摘要：遵循Castelnuovo和Enriques的思想，我们对有理曲面或直纹曲面的双平面的双有理等价类进行了分类。为了做到这一点，我们证明了 m 伴随线性系统对双平面正则分辨率分支曲线的消失（对于 m≥2）是双平面直纹性的充分必要条件。
Abstract.Following the ideas of Castelnuovo and Enriques, we classify the birational equivalence classes of double planes which are rational or ruled surfaces. In order to do this, we prove that the vanishing of the m-adjoint linear system to the branch curve of the canonical resolution of a double plane, for m≥2, is a necessary and sufficient condition for the ruledness of the double plane.