REFERENCES
- Ballico , E. , Brambilla , M. C. ( 2009 ). Postulation of general quartuple fat point schemes in P 3. J. Pure Appl. Algebra 213(6):1002–1012. Available at http://dx.doi.org/10.1016/j.jpaa.2008.11.001
- Ciliberto , C. , Miranda , R. ( 2000 ). Linear systems of plane curves with base points of equal multiplicity . Trans. Amer. Math. Soc. 352 ( 9 ): 4037 – 4050 .
- Ciliberto , C. , Miranda , R. ( 2001 ). The Segre and Harbourne–Hirschowitz Conjectures. Applications of Algebraic Geometry to Coding Theory, Physics and Computation (Eilat), NATO Sci. Ser. II Math. Phys. Chem., 36. Dordrecht: Kluwer Acad. Publ., pp. 37–51 .
- De Volder , C. , Laface , A. ( 2007 ). On linear systems of ℙ3 through multiple points. J. Algebra 310(1):207–217. Available at http://dx.doi.org/10.1016/j.jalgebra.2006.12.003
- Dolgachev , I. V. ( 1983 ). Weyl groups and Cremona transformations. Singularities, Part 1 (Arcata, Calif., 1981), pp. 283–294 .
- Du Val , P. ( 1981 ). Crystallography and Cremona Transformations. The Geometric Vein, pp. 191–201 .
- Dumnicki , M. ( 2008 ). On hypersurfaces in ℙ3 with fat points in general position . Univ. Iagel. Acta Math. 46 : 15 – 19 .
- Dumnicki , M. ( 2008 ). An algorithm to bound the regularity and nonemptiness of linear systems in ℙ n . J. Symbolic Comput. 44(10):1448–1462. Available at http://dx.doi.org/10.1016/j.jsc.2009.04.005
- Gimigliano , A. ( 1987 ). On Linear Systems of Plane Curves. Thesis (PhD), Queen's University, Canada .
- Harbourne , B. ( 1984 ). The geometry of rational surfaces and Hilbert functions of points in the plane. Proceedings of the 1984 Vancouver Conference in Algebraic Geometry, pp. 95–111 .
- Hirschowitz , A. ( 1989 ). Une conjecture pour la cohomologie des diviseurs sur les surfaces rationnelles génériques. J. Reine Angew. Math. 397:208–213. Available at http://dx.doi.org/10.1515/crll.1989.397.208
- Laface , A. , Ugaglia , L. ( 2006 ). On a class of special linear systems of ℙ3. Trans. Amer. Math. Soc. 358(12):5485–5500 (electronic). Available at http://dx.doi.org/10.1090/ S0002-9947-06-03891-8
- Laface , A. , Ugaglia , L. ( 2010 ). A Maple Package for Classes on the Blow-up of ℙ n . Available at http://www2.udec.cl/ ∼alaface/software/index.html
- Lazarsfeld , R. ( 2004 ). Positivity in Algebraic Geometry. I . Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. A Series of Modern Surveys in Mathematics [Results in Mathematics and Related Areas. 3rd Series. A Series of Modern Surveys in Mathematics] . Vol. 48 . Berlin : Springer-Verlag, Classical setting: line bundles and linear series .
- Mukai , S. ( 2004 ). Geometric Realization of T-Shaped Root Systems and Counterexamples to Hilbert's Fourteenth Problem. Algebraic Transformation Groups and Algebraic Varieties, pp. 123–129 .
- Segre , B. ( 1962 ). Alcune Questioni su Insiemi Finiti di Punti in Geometria Algebrica. Atti Convegno Internaz, Geometria Algebrica (Torino, 1961), pp. 15–33 .
- Communicated by R. Piene.