论文标题
Fano-Mukai上的仿锥属属10属10
Affine cones over Fano-Mukai fourfolds of genus 10 are flexible
论文作者
论文摘要
我们表明,任何Fano-Mukai属的仿锥属10属10都具有灵活性。特别是,这种锥体的自动形态群在顶点之外高度传递。此外,除了一个例外,任何Fano-Mukai属的四倍,都承认了播种四个空间的开放图表同构的覆盖率。
We show that the affine cones over any Fano-Mukai fourfold of genus 10 are flexible; in particular, the automorphism group of such a cone acts highly transitively outside the vertex. Furthermore, any Fano-Mukai fourfold of genus 10, with one exception, admits a covering by open charts isomorphic to the affine four-space.