We study the postulation of a general union Z of fat points of P2, when most of the connected components of Z have multiplicity 2. This problem is related to the existence of 'good' families of curves on P2 with prescribed singularities, most of them being nodes, and to the cohomology of suitable line bundles on blowing ups of the
Ballico, E., Chiantini, L. (1998). Nodal curves and postulation of generic fat points on P^2. ARCHIV DER MATHEMATIK, 71, 501-504 [10.1007/s000130050295].
Nodal curves and postulation of generic fat points on P^2
CHIANTINI, LUCA
1998-01-01
Abstract
We study the postulation of a general union Z of fat points of P2, when most of the connected components of Z have multiplicity 2. This problem is related to the existence of 'good' families of curves on P2 with prescribed singularities, most of them being nodes, and to the cohomology of suitable line bundles on blowing ups of the
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https://hdl.handle.net/11365/37499
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