论文标题
Fano Hypersurfaces没有有限订单的男子式自动形态
Fano hypersurfaces with no finite order birational automorphisms
论文作者
论文摘要
我们使用专业同构为生型自动形态群体来研究有限的生育自动形态。对于一个在DVR上的品种家庭，我们证明了与残留特征的命令占用的生育自动形态不能专注于身份。作为一个应用程序，我们表明，非常通用的$ n $二维超曲面$ d \ geq 5 \ lceil（n+3）/6 \ rceil $没有有限的订单订单birational自动形态。
We use the specialization homomorphism for the birational automorphism group to study finite order birational automorphisms. For a family of varieties over a DVR, we prove that a birational automorphism of order coprime to the residue characteristic cannot specialize to the identity. As an application, we show that very general $n$-dimensional hypersurfaces of degree $d \geq 5 \lceil (n+3)/6 \rceil$ have no finite order birational automorphisms.
