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  4. Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics
  5. Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics vol.54 (2022)
  6. Examples of non-effective rays at the boundary of the Mori cone of blow-ups of the plane
 
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Examples of non-effective rays at the boundary of the Mori cone of blow-ups of the plane

Ciliberto, Ciro
•
Miranda, Rick
2022
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ISSN
0049-4704
DOI
10.13137/2464-8728/33880
http://hdl.handle.net/10077/33880
  • Article

e-ISSN
2464-8728
Abstract
In this paper we prove that no multiple of the linear system of plane curves of degree d ⩾ 4 with a point of multiplicity d−m (with 2 ⩽ m ⩽ d) and m(2d − m) simple general points is effective.
Journal
Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics 
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics
Subjects
  • Linear systems

  • Mori cone

  • Nagata’s conjecture

  • nef rays

Publisher
EUT Edizioni Università di Trieste
Source
Ciro Ciliberto, Rick Miranda, "Examples of non-effective rays at the boundary of the Mori cone of blow-ups of the plane" in: "Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics vol.54 (2022)", EUT Edizioni Università di Trieste, Trieste, 2022, pp. 211-219
Languages
en
Rights
Attribution-NonCommercial-NoDerivatives 4.0 Internazionale
Licence
http://creativecommons.org/licenses/by-nc-nd/4.0/
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10-Ciliberto_Miranda.pdf

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