1994年
FALSE HYPERELLIPTIC SURFACES WITH SECTION
MATHEMATISCHE NACHRICHTEN
- 巻
- 167
- 号
- 開始ページ
- 313
- 終了ページ
- 329
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- 出版者・発行元
- AKADEMIE VERLAG GMBH
Let X be a nonsingular relatively minimal projective surface over an algebraically closed field of characteristic p > 0. We call X a false hyperelliptic surface if X satisfies the following conditions: (1) c2(X) = 0, c1(X)2 = 0, dim Alb (X) = 1, and (2) All fibres of the Albanese mapping of X are rational curves with only one cusp of type x(pnu) + y(n) = 0. In this article, we consider a false hyperelliptic surface whose Albanese mapping has a cross-section. We prove that every false hyperellyptic surface with section arises from an elliptic ruled surface and that every false hyperelliptic surface has an elliptic fibration with multiple fibre. Moreover. we construct an example of false hyperelliptic surface with section, whose elliptic fibration has a multiple fibre of supersingular elliptic curve of multiplicity p(nu) (v > 1).
- リンク情報
- ID情報
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- ISSN : 0025-584X
- Web of Science ID : WOS:A1994NT09200012