拟椭圆曲面的多谐系统

IF 0.7 4区数学 Q2 MATHEMATICS

Journal of the Mathematical Society of Japan Pub Date : 2021-01-01 DOI:10.2969/jmsj/85058505

Natsuo Saito, Bstract

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引用次数: 0

摘要

我们考虑了特征2中具有Kodaira维数为1的准椭圆曲面的|mKS |多谐系统。我们证明了对于任意m≥6的|，mKS |给出了准椭圆纤维空间的结构，而6是给出此类曲面结构的最佳可能数。

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On the multicanonical systems of quasi-elliptic surfaces

We consider the multicanonical systems |mKS | of quasielliptic surfaces with Kodaira dimension 1 in characteristic 2. We show that for any m ≥ 6 |mKS | gives the structure of quasi-elliptic fiber space, and 6 is the best possible number to give the structure for any such surfaces.

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来源期刊

Journal of the Mathematical Society of Japan 数学-数学

CiteScore

1.40

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of the Mathematical Society of Japan (JMSJ) was founded in 1948 and is published quarterly by the Mathematical Society of Japan (MSJ). It covers a wide range of pure mathematics. To maintain high standards, research articles in the journal are selected by the editorial board with the aid of distinguished international referees. Electronic access to the articles is offered through Project Euclid and J-STAGE. We provide free access to back issues three years after publication (available also at Online Index).