Mathematics – Algebraic Geometry
Scientific paper
1999-09-16
Mathematics
Algebraic Geometry
6 pages
Scientific paper
Modifying an approach of J. Roe, this paper gives an improved lower bound on
the degrees d such that for general points p1,...,pn in P2 and m > 0 there is a
plane curve of degree d vanishing at each point pi with multiplicity at least
m. In certain cases, for m not too large compared with n, the new bound implies
a bound conjectured by Nagata.
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