Castelnuovo-Mumford regularity bounds for singular surfaces

Published 27 Jun 2013 in math.AG and math.AC | (1306.6535v2)

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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Authors (1)

Wenbo Niu

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