论文标题
在理性连接的三倍上
On the coniveau of rationally connected threefolds
论文作者
论文摘要
我们证明,合理连接的三倍的整体共同体学模量扭转来自平滑曲线的整体共同体,这是通过与$ 1 $ Cycles家族相关的圆柱同态的平滑曲线同型。同等地,从贝诺斯特·奥特姆(Benoist-Ottem)的意义上讲,它是强大的Coniveau 1。
We prove that the integral cohomology modulo torsion of a rationally connected threefold comes from the integral cohomology of a smooth curve via the cylinder homomorphism associated to a family of $1$-cycles. Equivalently, it is of strong coniveau 1 in the sense of Benoist-Ottem.