On the multicanonical systems of quasi-elliptic surfaces

Toshiyuki Katsura; Natsuo Saito

On the multicanonical systems of quasi-elliptic surfaces

Algebraic Geometry 2020-06-23 v1

Authors: Toshiyuki Katsura , Natsuo Saito

Abstract

We consider the multicanonical systems $\vert mK_{S}\vert$ of quasi-elliptic surfaces with Kodaira dimension $1$ in characteristic 2. We show that for any $m \geq 6$ $\vert mK_{S}\vert$ gives the structure of quasi-elliptic fiber space, and 6 is the best possible number to give the structure for any such surfaces.

Keywords

quasi-elliptic surfaces multicanonical systems kodaira dimension characteristic 2 quasi-elliptic fiber space

Cite

@article{arxiv.2006.11959,
  title  = {On the multicanonical systems of quasi-elliptic surfaces},
  author = {Toshiyuki Katsura and Natsuo Saito},
  journal= {arXiv preprint arXiv:2006.11959},
  year   = {2020}
}

Comments

10 pages

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