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math.AG2013
Castelnuovo-Mumford regularity bounds for singular surfaces
Wenbo Niu
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 boun…
math.AG2013
Geometric nullstellensatz and symbolic powers on arbitrary varieties
Wenbo Niu
In recent years, a multiplier ideal defined on arbitrary varieties, so called Mather multiplier ideal, has been developed independently by Ein-Ishii-Mustata, and de Fernex-Docampo.…