WEAK DEL PEZZO SURFACES WITH IRREGULARITY

DOI 3 Citations 32 References

Search this article

Abstract

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.

Journal

Citations (3)*help

See more

References(32)*help

See more

Keywords

Details 詳細情報について

  • CRID
    1390282680092421376
  • NII Article ID
    110006276423
  • NII Book ID
    AA00863953
  • DOI
    10.2748/tmj/1182180737
  • ISSN
    2186585X
    00408735
  • MRID
    2347424
  • Text Lang
    en
  • Data Source
    • JaLC
    • Crossref
    • CiNii Articles
  • Abstract License Flag
    Disallowed

Report a problem

Back to top