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Archiv der Mathematik

, Volume 71, Issue 6, pp 501–504 | Cite as

Nodal curves and postulation of generic fat points on P2

  • Edoardo Ballico
  • Luca Chiantini

Abstract.

We study the postulation of a general union Z of fat points of P 2, when most of the connected components of Z have multiplicity 2. This problem is related to the existence of “good” families of curves on P 2 with prescribed singularities, most of them being nodes, and to the cohomology of suitable line bundles on blowing ups of the plane.

Keywords

Line Bundle General Union Nodal Curf Prescribe Singularity Suitable Line 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Birkhäuser Verlag, Basel 1998

Authors and Affiliations

  • Edoardo Ballico
    • 1
  • Luca Chiantini
    • 2
  1. 1.Dipartimento di Matematica, Universitá di Trento, I-38050 POVO Trento, ItalyIT
  2. 2.Dipartimento di Matematica, Universitá di Siena, Via del Capitano 15, I-53100 Siena, ItalyIT

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