Abstract
We consider the multicanonical systems $|mK_{S}|$ of quasi-elliptic surfaces with Kodaira dimension 1 in characteristic 2. We show that for any $m \geq 6$ $|mK_{S}|$ gives the structure of quasi-elliptic fiber space, and 6 is the best possible number to give the structure for any such surfaces.
Funding Statement
Research of the first author is partially supported by JSPS Grant-in-Aid for Scientific Research (C) No. 20K03530, and the second author by (C) No. 17K05208.
Citation
Toshiyuki KATSURA. Natsuo SAITO. "On the multicanonical systems of quasi-elliptic surfaces." J. Math. Soc. Japan 73 (4) 1253 - 1261, October, 2021. https://doi.org/10.2969/jmsj/85058505
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