On factoriality of nodal threefolds

On factoriality of nodal threefolds
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关于节点三重的阶乘

DOI:
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发表时间:
2004
期刊:
影响因子:
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通讯作者:
I. Cheltsov
I. Cheltsov
中科院分区:
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文献类型:
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作者:
I. Cheltsov

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我们证明了P4中至多(n-1)2 4个结点的n次节点超曲面的Q-因子性和P3中至多(2 r-1)r 3个结点的2 r次节点曲面上分支的双覆盖的Q-因子性。
We prove the Q-factoriality of a nodal hypersurface in P4 of degree n with at most (n−1) 2 4 nodes and the Q-factoriality of a double cover of P3 branched over a nodal surface of degree 2r with at most (2r−1)r 3 nodes.