POLARIZED SURFACES OF Δ-GENUS 3 AND DEGREE 5

DOI 2 Citations 7 References Open Access

Bibliographic Information

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

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Description

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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Details 詳細情報について

  • CRID
    1390282680092108928
  • NII Article ID
    110000026644
  • NII Book ID
    AA00863953
  • DOI
    10.2748/tmj/1178227253
  • ISSN
    2186585X
    00408735
  • MRID
    1190915
  • Text Lang
    en
  • Data Source
    • JaLC
    • Crossref
    • CiNii Articles
    • OpenAIRE
  • Abstract License Flag
    Disallowed

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