|
1] C. Bocci, B. Harbourne, Comparing powers and symbolic powers of ideals, J. Algebraic Geom. 19. (2010), 399-417. [2] G. V. Chudnovsky, Singular points on complex hypersurfaces and multidimensional Schwarz Lemma, Seminaire de Theorie des Nombres, Paris 1979–80, Seminaire Delange-Pisot-Poitou, Progress in Math vol. 12, M-J Bertin, editor, Birkhauser, Boston-Basel-Stutgart 1981. [3] J.-P. Demailly, Formules de Jensen en plusieurs variables et applications arithmétiques, Bull. Soc. Math. France 110. (1982), 75–102. [4] M. Dumnicki, T. Szemberg, H. Tutaj-Gasinska, Counterexamples to the I(3) ⊂ I2 containment, J. Algebra 393 . (2013) 24–29. [5] M. Dumnicki, H. Tutaj-Gasi´nska, A containment result in Pn and the Chudnovsky Conjecture, Proc. Amer. Math. Soc. 145. (2017), 3689–3694. [6] H. Esnault, E. Viehweg, Sur une minoration du degré d’hypersurfaces s’annulant en certains points, Math. Ann. 263 . (1983), no. 1, 75–86. [7] L. Evain, On the postulation of sd fat points in Pd, J. Algebra 285 . (2005) 516–530. [8] L. Fouli, P. Mantero, Y. Xie, Chudnovsky’s conjecture for very general points in P Nk, J. Algebra 498. (2018) 211–227. [9] B. Harbourne, C. Huneke, Are symbolic powers highly evolved?, J. Ramanujan Math. Soc. (2011), arXiv:1103.5809. [10] A. Hirschowitz, La méthode d’Horace pour l’interpolation à plusieurs variables, Manuscripta Math. 50. (1985) , 337–388. [11] M. Hochster, C. Huneke, Comparison of symbolic and ordinary powers of ideals, Invent. Math. 147. (2002), no. 2, 349-369.(arXiv:math/0211174) [12] M. Hochster, C. Huneke, Fine behavior of symbolic powers of ideals, Illinois J. Math. 51. (2007) 171–183. [13] T. Iarrobino, Inverse system of a symbolic power III: thin algebras and fat points, Compositio Math. 108. (1997) 319–356. [14] G. Malara, T. Szemberg, J. Szpond, On a conjecture of Demailly and new bounds on Waldschmidt constants in PN , J. Number Theory 189 (2018) 211-219. [15] J.-C. Moreau, Lemmes de Schwarz en plusieurs variables et applications arithmétiques, Séminaire Pierre Lelong-Henri Skoda (Analyse). Années 1978/79 (French), in: Lecture Notes in Math., vol.822, Springer, Berlin–New York. (1980) 174–190. [16] M. Nagata, On the 14-th problem of Hilbert, Amer. J. Math. 81. (1959) 766-772. [17] H. Skoda, Estimations L2 pour l’opérateur ˜∂ et applications arithmétiques, Séminaire P. Lelong (Analyse), 1975/76, Lecture Notes Math. 578, Springer-Verlag. (1977) 314-323. [18] M. Waldschmidt, Propriétés arithmétiques de fonctions de plusieurs variables II, Séminaire P. Lelong (Analyse), 1975–76, Lecture Notes Math. 578, Springer-Verlag. (1977) 108–135. [19] M. Waldschmidt, Nombres transcendants et groupes algébriques, Astérisque 69/70, Socéte Mathématiqué de France. (1979).
|