New effective bounds on the dimension of a linear system in P2

• Autores: Marcin Dumnicki, Witold Jarnicki
• Localización: Journal of symbolic computation, ISSN 0747-7171, Vol. 42, Nº 6, 2007, págs. 621-635
• Idioma: inglés
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• Resumen

  • The main goal of this paper is to present an algorithm bounding the dimension of a linear system of plane curves of given degree (or monomial basis) with multiple points in general position. As a result we prove the Harbourne¿Hirschowitz conjecture when the multiplicities of base points are bounded by 11. This gives a partial answer to the question of when bivariate polynomial interpolation is possible