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arXiv · 1306.6535

Castelnuovo-Mumford regularity bounds for singular surfaces

Wenbo Niu
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Abstract

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.

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Wenbo Niu. 2013-06-27. Castelnuovo-Mumford regularity bounds for singular surfaces. https://arxiv.org/abs/1306.6535

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