WEAK DEL PEZZO SURFACES WITH IRREGULARITY

DOI 被引用文献3件 参考文献32件

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We construct normal del Pezzo surfaces, and regular weak del Pezzo surfaces as well, with positive irregularity $q>0$. This can happen only over nonperfect fields. The surfaces in question are twisted forms of nonnormal del Pezzo surfaces, which were classified by Reid. The twisting is with respect to the flat topology and infinitesimal group scheme actions. The twisted surfaces appear as generic fibers for Fano-Mori contractions on certain threefolds with only canonical singularities.

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被引用文献 (3)*注記

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参考文献 (32)*注記

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詳細情報 詳細情報について

  • CRID
    1390282680092421376
  • NII論文ID
    110006276423
  • NII書誌ID
    AA00863953
  • DOI
    10.2748/tmj/1182180737
  • ISSN
    2186585X
    00408735
  • MRID
    2347424
  • 本文言語コード
    en
  • データソース種別
    • JaLC
    • Crossref
    • CiNii Articles
  • 抄録ライセンスフラグ
    使用不可

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