Containment results for ideals of various configurations of points in
Tài liệu tham khảo
Atiyah, 1969
Bauer, 2009, A primer on Seshadri constants, vol. 496
Bocci, 2010, The resurgence of ideals of points and the containment problem, Proc. Amer. Math. Soc., 138, 1175, 10.1090/S0002-9939-09-10108-9
Bocci, 2010, Comparing powers and symbolic powers of ideals, J. Algebraic Geometry, 19, 399, 10.1090/S1056-3911-09-00530-X
A. Boocher, The module of differentials, evolutions, and the Eisenbud–Mazur conjecture, Senior Thesis, Notre Dame University, 2008.
Chudnovsky, 1981, Singular points on complex hypersurfaces and multidimensional Schwarz Lemma, vol. 12
S.M. Cooper, S.G. Hartke, The alpha problem & line count configurations, preprint, 2011.
A. Denkert, M. Janssen, Containment problem for points on a reducible conic in P2, preprint, arXiv:1207.7153.
M. Dumnicki, Symbolic powers of ideals of generic points in P3, preprint, 2011, arXiv:1105.0258.
M. Dumnicki, T. Szemberg, H. Tutaj-Gasińska, A counter-example to a question by Huneke and Harbourne, preprint, 2013, 5 pp., arXiv:1301.7440.
Ein, 2001, Uniform behavior of symbolic powers of ideals, Invent. Math., 144, 241, 10.1007/s002220100121
Eisenbud, 1997, Evolutions, symbolic squares, and fitting ideals, J. Reine Angew. Math., 488, 189
Esnault, 1983, Sur une minoration du degré d’hypersurfaces s’annulant en certains points, Math. Ann., 263, 75, 10.1007/BF01457085
Fatabbi, 2006, Resolutions of ideals of fat points with support in a hyperplane, Proc. Amer. Math. Soc., 134, 3475, 10.1090/S0002-9939-06-08514-5
Geramita, 1995, Graded Betti numbers of some embedded rational n-folds, Math. Ann., 301, 363, 10.1007/BF01446634
Harbourne, 1985, Complete linear systems on rational surfaces, Trans. Amer. Math. Soc., 289, 213, 10.1090/S0002-9947-1985-0779061-2
Harbourne, 1986, The geometry of rational surfaces and Hilbert functions of points in the plane, Canad. Math. Soc. Conf. Proc., 6, 95
B. Harbourne, Seshadri constants and very ample divisors on algebraic surfaces, version 2. arXiv: math.AG/0103029.
B. Harbourne, C. Huneke, Are symbolic powers highly evolved? preprint, J. Ramanujan Math. Soc. (in press) arXiv:1103.5809.
Harbourne, 2003, Resolutions of ideals of quasiuniform fat point subschemes of P2, Trans. Amer. Math. Soc., 355, 593, 10.1090/S0002-9947-02-03124-0
Hochster, 2002, Comparison of symbolic and ordinary powers of ideals, Invent. Math., 147, 349, 10.1007/s002220100176
Matsumura, 1970
Nagata, 1959, On the 14-th problem of Hilbert, Amer. J. Math., 81, 766, 10.2307/2372927
K. Schwede, A canonical linear system associated to adjoint divisors in characteristic p>0, preprint 2011, 14pp., arXiv:1107.3833v2.
Skoda, 1977, Estimations L2 pour l’opérateur ∂ˆ et applications arithmétiques, vol. 578, 314
Takagi, 2008, Generalized test ideals and symbolic powers, Michigan Math. J., 57, 711, 10.1307/mmj/1220879433
Waldschmidt, 1977, Propriétés arithmétiques de fonctions de plusieurs variables II, vol. 578, 108
Waldschmidt, 1979, Nombres transcendants et groupes algébriques
Zariski, 1960