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arXiv · 1001.3340

Pluricanonical systems for 3-folds and 4-folds of general type

Lorenzo Di Biagio
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Abstract

We explicitly find lower bounds on the volume of threefolds and fourfolds of general type in order to have nonvanishing of pluricanonical systems and birationality of pluricanonical maps. In the case of threefolds of large volume, we also give necessary and sufficient conditions for the fourth canonical map to be birational.

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Lorenzo Di Biagio. 2011-09-28. Pluricanonical systems for 3-folds and 4-folds of general type. https://doi.org/10.1017/s0305004111000648

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