RATIONAL SURFACES WITH A PENCIL OF RATIONAL CURVES AND WITH POSITIVE SQUARE OF THE CANONICAL CLASS
RATIONAL SURFACES WITH A PENCIL OF RATIONAL CURVES AND WITH POSITIVE SQUARE OF THE CANONICAL CLASS
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具有有理曲线铅笔和正则类正平方的有理曲面
DOI：
10.1070/sm1970v012n01abeh000912
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发表时间：
1970
期刊：
影响因子：
--
通讯作者：
V. A. Iskovskih
中科院分区：
文献类型：
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作者：
V. A. Iskovskih
在纸上的标准g曲面上有一支有理曲线和(？F ?？F) > 0被检查到出生等效。证明了（?）F ?？F) = 1, 2和3，这些曲面的出生类是由它们的标准有理曲线铅笔的出生类唯一地决定的。(?F ?？这些曲面中的每一个都与平面P2或者是平面P1?P1的双规则形式的g曲面具有双等效性。参考书目：6项。
In the paper standard G-surfaces with a pencil of rational curves and with (?F ? ?F) > 0 are examined up to birational equivalence. It is proved that for (?F ? ?F) = 1 , 2 and 3 a birational class of these surfaces is uniquely determined by the birational class of their standard pencil of rational curves. For (?F ? ?F) > 4 each of these surfaces is birationally equivalent to either the plane P2 or some G-surface which is a biregular form of the surface P1?P1. Bibliography: 6 items.