Given any s points P1,....,Ps in the projective plane and s positive integers m1,...,ms, let S_n be the linear system of plane curves of degree n through the Pi's with multiplicity at least mi. When the Pi's are in general position, i.e. no three of them on a line, we give numerical criteria to the effect that S_n be regular and/or irreducible.
Regularity and irreducibility of linear systems of plane curves passing through points in P^2 in general position, with given multiplicity
CATALISANO, MARIA VIRGINIA
1989-01-01
Abstract
Given any s points P1,....,Ps in the projective plane and s positive integers m1,...,ms, let S_n be the linear system of plane curves of degree n through the Pi's with multiplicity at least mi. When the Pi's are in general position, i.e. no three of them on a line, we give numerical criteria to the effect that S_n be regular and/or irreducible.File in questo prodotto:
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