Abstract:
We introduce some invariants of singularities which represent the anti-freeness of the adjoint linear systems. The invariants indicate that if either the singularities or the boundaries are worse then the adjoint linear systems are much global generative. Using these invariants, we prove effective global generation of adjoint linear systems on normal log surfaces.
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Received: 14 May 1999/ Revised version: 2 August 1999
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Kawachi, T. On the base point freeness of adjoint bundles¶on normal surfaces. manuscripta math. 101, 23–28 (2000). https://doi.org/10.1007/s002290070042
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DOI: https://doi.org/10.1007/s002290070042