In this paper we determine a new upper bound for the regularity index of fat points of \(P^{2}\), without requiring any geometric condition on the points. This bound is intermediate between Segre's bound, that holds for points in the general position, and the more general bound, that is attained whe
Upper Bounds for the Regularity Index of Fat Points
โ Scribed by N.V. Trung; G. Valla
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 958 KB
- Volume
- 176
- Category
- Article
- ISSN
- 0021-8693
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๐ SIMILAR VOLUMES
Let X be the surface obtained by blowing up general points p 1 p n of the projective plane over an algebraically closed ground field k, and let L be the pullback to X of a line on the plane. If C is a rational curve on X with C โข L = d, then for every t there is a natural map C C t โ X X L โ C C t +
## Abstract The noise analysis for threeโpoint decomposition of water and fat was extended to account for the uncertainty in the field map. This generalization leads to a nonlinear estimation problem. The CrรกmerโRao bound (CRB) was used to study the variance of the estimates of the magnitude, phase