A rationality criterion for conic bundles

A rationality criterion for conic bundles
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圆锥束的合理性准则

DOI:
10.1070/sm1996v187n07abeh000145
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发表时间:
1996
影响因子:
0.8
通讯作者:
V. A. Iskovskikh
V. A. Iskovskikh
中科院分区:
数学3区
文献类型:
--
作者:
V. A. Iskovskikh

文献摘要

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它是森意义上的圆锥丛的三维簇,其底最多具有双​​有理奇点类型。在判别曲线足够大的情况下,例如,对于 时的情况,证明了合理性准则服从于该假设。
It is that a three-dimensional variety that is a conic bundle in the Mori sense has a base with at most double rational singularities of type . A rationality criterion is proved subject to this assumption in the case when the discriminant curve is large enough, for example, for the case when .