Castelnuovo–Mumford regularity bounds for singular surfaces
Castelnuovo–Mumford regularity bounds for singular surfaces
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DOI：
10.1007/s00209-015-1439-2
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发表时间：
2013-06
影响因子：
0.8
通讯作者：
Wenbo Niu
中科院分区：
文献类型：
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作者：
Wenbo Niu
证明了具有有理、Gorenstein椭圆和对数正则奇点的正规曲面的正则性猜想，即Eisenbud-Goto猜想。沿着的方式，我们绑定的正则性为零维计划的Loewy长度和允许嵌入或孤立的点分量的曲线的算术度。
We prove the regularity conjecture, namely Eisenbud–Goto conjecture, for a normal surface with rational, Gorenstein elliptic and log canonical singularities. Along the way, we bound the regularity for a dimension zero scheme by its Loewy length and for a curve allowing embedded or isolated point components by its arithmetic degree.