Polarized surfaces of $\Delta$-genus $3$ and degree $5$

DOI 被引用文献2件 参考文献7件 オープンアクセス

書誌事項

タイトル別名
  • POLARIZED SURFACES OF Δ-GENUS 3 AND DEGREE 5

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説明

In this paper we try to classify those polarized surfaces (M, L) of Δ-genus 3 and degree 5, for which the linear system | L | has finite base locus and defines a non-birational rational map. Then a surface obtained by the blowing up at a point of M is a double cover of a desigularization of a quadric surface. Moreover, we divide these surfaces into four types according to the shape of the fiber containing the exceptional curve. Three of them are fiber spaces over the projective line and the other is an irrational ruled surface. Conversely, we show the existence of polarized surfaces in each of the four types.

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参考文献 (7)*注記

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詳細情報 詳細情報について

  • CRID
    1390282680092108928
  • NII論文ID
    110000026644
  • NII書誌ID
    AA00863953
  • DOI
    10.2748/tmj/1178227253
  • ISSN
    2186585X
    00408735
  • MRID
    1190915
  • 本文言語コード
    en
  • データソース種別
    • JaLC
    • Crossref
    • CiNii Articles
    • OpenAIRE
  • 抄録ライセンスフラグ
    使用不可

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