Nagata’s conjecture for a square or nearly-square number of points |
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| Authors: | Ciro Ciliberto Rick Miranda |
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| Affiliation: | (1) Dipartimento di Matematica, Universita’ di Roma Tor Vergata, Via della Ricerca Scientifica, 00133 Roma (Italia),;(2) Department of Mathematics, Colorado State University, Fort Collins, CO 80523, USA |
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| Abstract: | Abstract In this paper we prove that a linear system of plane curves of degree d with n points of multiplicity m always has the expected dimension when n is a perfect square. We also prove some results on the dimension of the linear system when n is close to a perfect square. Keywords: Interpolation, Nagata, Linear systems, Plane curves Mathematics Subject Classification (2000): 14J26, 14N05 |
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