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• W1503241898 abstract "We study linear series on a projective plane blown up in a bunch of general points. Such series arise from plane curves of fixed degree with assigned fat base points. We give conditions (expressed as inequalities involving the number of points and the degree of the plane curves) on these series to be base point free, i.e. to define a morphism to a projective space. We also provide conditions for the morphism to be a higher order embedding. In the discussion of the optimality of obtained results we relate them to the Nagata Conjecture expressed in the language of Seshadri constants and we give a lower bound on these invariants." @default.
• W1503241898 created "2016-06-24" @default.
• W1503241898 creator A5037523570 @default.
• W1503241898 creator A5077858431 @default.
• W1503241898 date "2002-04-22" @default.
• W1503241898 modified "2023-10-18" @default.
• W1503241898 title "General blow-ups of the projective plane" @default.
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• W1503241898 doi "https://doi.org/10.1090/s0002-9939-02-06488-2" @default.
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