Nodal curves and postulation of generic fat points on P2
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We study the postulation of a general union Z of fat points of P 2, when most of the connected components of Z have multiplicity 2. This problem is related to the existence of “good” families of curves on P 2 with prescribed singularities, most of them being nodes, and to the cohomology of suitable line bundles on blowing ups of the plane.
KeywordsLine Bundle General Union Nodal Curf Prescribe Singularity Suitable Line
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