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

100%

Dumnicki M.

Annales Polonici Mathematici

2011

tom 100

nr 3

277-300

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.

Cutting diagram method for systems of plane curves with base points

100%

Dumnicki M.

Annales Polonici Mathematici

2007

tom 90

nr 2

131-143

We develop a new method of proving non-speciality of a linear system with base fat points in general position. Using this method we show that the Hirschowitz-Harbourne conjecture holds for systems with base points of equal multiplicity bounded by 42.

Ograniczanie wyników

2 Annales Polonici Mathematici

2 Dumnicki M.

1 2011

1 2007

Wyniki wyszukiwania

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

Cutting diagram method for systems of plane curves with base points