Arkiv för Matematik

, Volume 42, Issue 2, pp 307–324 | Cite as

Modules of principal parts on the projective line

  • Helge Maakestad


The modules of principal partsP k (E) of a locally free sheaf ε on a smooth schemeX is a sheaf ofO X -bimodules which is locally free as left and rightO X -module. We explicitly split the modules of principal partsP k (O(n)) on the projective line in arbitrary characteristic, as left and rightOp1-modules. We get examples when the splitting-type as left module differs from the splitting-type as right module. We also give examples showing that the splitting-type of the principal parts changes with the characteristic of the base field.


Principal Part Projective Line Base Field Left Module Free Sheaf 
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Copyright information

© Institut Mittag-Leffler 2004

Authors and Affiliations

  • Helge Maakestad
    • 1
  1. 1.Department of Mathematics Faculty of Exact SciencesBar-Ilan UniversityRamat-GanIsrael

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