Quasi-homogeneous linear systems on ℙ² with base points of multiplicity 7, 8, 9, 10

• Autorzy: Marcin Dumnicki
• Języki publikacji: EN

Abstrakty

EN

We prove that the Segre-Gimigliano-Harbourne-Hirschowitz conjecture holds for quasi-homogeneous linear systems on ℙ² for m = 7, 8, 9, 10, i.e. systems of curves of a given degree passing through points in general position with multiplicities at least m,...,m,m₀, where m = 7, 8, 9, 10, m₀ is arbitrary.

Kategorie tematyczne

• 14Q05: Curves
• 14H50: Plane and space curves

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2011
• Tom: 100
• Numer: 3
• Strony: 277-300

Daty

wydano

2011

Twórcy

autor

Marcin Dumnicki

• Institute of Mathematics, Jagiellonian University, Łojasiewicza 6, 30-348 Kraków, Poland

Identyfikatory

DOI

10.4064/ap100-3-5