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arXiv · 1704.03551

On the multicanonical systems of quasi-elliptic surfaces in characteristic 3

Toshiyuki Katsura
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Abstract

We consider the multicanonical systems $|mK_S|$ of quasi-elliptic surfaces with Kodaira dimension $1$ in characteristic 3. We show that for any $m \geq 5$ $|mK_S|$ gives the structure of quasi-elliptic fiber space, and the number $5$ is best possible to give the structure for any such surfaces.

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Toshiyuki Katsura. 2017-04-11. On the multicanonical systems of quasi-elliptic surfaces in characteristic 3. https://arxiv.org/abs/1704.03551

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