论文标题

在最小的非平凡单曲组的三倍上

On threefolds with the smallest nontrivial monodromy group

论文作者

Lvovski, Serge

论文摘要

使用A.J. Sommese引起的辅助理论结果以及SGA7的命题,我们获得了平滑三倍的完整列表,该列表的单型组对其光滑超平面部分的$ H^2 $为$ \ MATHBB Z/2 \ MATHBB Z $。 F.L.Zak在1991年宣布了这种分类的可能性。

Using an adjunction-theoretic result due to A.J.Sommese together with a proposition from SGA7, we obtain a complete list of smooth threefolds for which the monodromy group acting on $H^2$ of its smooth hyperplane section is $\mathbb Z/2\mathbb Z$. The possibility of such a classification was announced by F.L.Zak in 1991.

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