Linear systems on a special rational surface

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Linear systems on a special rational surface

We study the Hilbert series of a family of ideals Jφ generated by powers of linear forms in K[x1, . . . , xn]. Using the results of Emsalem-Iarrobino, we formulate this as a question about fatpoints in P. In the three variable case this is equivalent to studying the dimension of a linear system on a blow up of P. The ideals that arise have the points in very special position, but because there ...

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ژورنال

عنوان ژورنال: Mathematical Research Letters

سال: 2004

ISSN: 1073-2780,1945-001X

DOI: 10.4310/mrl.2004.v11.n5.a12