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arXiv · 1612.06974

On the canonical maps of nonsingular threefolds of general type

Rong Du
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Abstract

Let $S$ be a nonsingular minimal complex projective surface of general type and the canonical map of $S$ is generically finite. Beauville showed that the geometric genus of the image of the canonical map is vanishing or equals the geometric genus of $S$ and discussed the canonical degrees for these two cases. We generalize his results to nonsingular minimal complex projective threefolds.

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Rong Du. 2016-12-21. On the canonical maps of nonsingular threefolds of general type. https://arxiv.org/abs/1612.06974

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