论文标题

Fano-Mukai四倍的中央Weyl属10属。

Central Weyl involutions on Fano-Mukai fourfolds of genus 10

论文作者

Zaidenberg, Mikhail

论文摘要

众所周知,每个Fano-Mukai属10的四倍X属属属于一个互动$τ$,该$τ$来自简单的代数类型$ {\ rm g} _2 $的weyl oft的中心。此事是唯一的定义为组合(x)中的共轭。在本说明中,我们描述了$τ$的固定点集,表面滚动扫除了$τ$ - invariant Lines。

It is known that every Fano-Mukai fourfold X of genus 10 is acted upon by an involution $τ$ which comes from the center of the Weyl group of the simple algebraic group of type ${\rm G}_2$. This involution is uniquely defined up to conjugation in the group Aut(X). In this note we describe the set of fixed points of $τ$ and the surface scroll swept out by the $τ$-invariant lines.

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