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Original Articles

An elementary approach to containment relations between symbolic and ordinary powers of certain monomial ideals

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Pages 4583-4587 | Received 09 May 2015, Published online: 17 Mar 2017

References

  • Bauer, T., Di Rocco, S., Harbourne, B., Kapustka, M., Knutsen, A., Syzdek, W., Szemberg, T. (2009). A primer on Seshadri constants. In: Interactions of Classical and Numerical Algebraic Geometry, Vol. 496, pp. 33–70.
  • Bocci, C., Harbourne, B. (2010). Comparing powers and symbolic powers of ideals. J. Algebraic Geom. 19(3):399–417, doi: 10.1090/S1056-3911-09-00530-X.
  • Bocci, C., Harbourne, B. (2010). The resurgence of ideals of points and the containment problem. Proc. Am. Math. Soc. 138(4):1175–1190, doi: 10.1090/S0002-9939-09-10108-9.
  • Dumnicki, M., Szemberg, T., Tutaj-Gasińska, H. (2013). Counterexamples to the I(3)⊂I2 containment. J. Algebra 393:24–29, doi: 10.1016/j.jalgebra.2013.06.039. MR3090054
  • Ein, L., Lazarsfeld, R., Smith, K. E. (2001). Uniform bounds and symbolic powers on smooth varieties. Inv. Math. 144(2):241–252.
  • Herzog, J., Hibi, T. (2011). Monomial Ideals. Graduate Texts in Mathematics, Vol. 260, London: Springer-Verlag London, Ltd.
  • Harbourne, B., Huneke, C. (2013). Are symbolic powers highly evolved? J. Ramanujan Math. Soc. 28A:247–266.
  • Hochster, M., Huneke, C. (2002). Comparison of symbolic and ordinary powers of ideals. Invent. Math. 147(2):349–369, doi: 10.1007/s002220100176.
  • Lazarsfeld, R. (2004). Positivity in algebraic geometry. II, Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge, Vol. 49. Berlin: Springer-Verlag.
  • Teitler, Z. C. (2009). Bounding symbolic powers via asymptotic multiplier ideals. Ann. Univ. Paedagog. Crac. Stud. Math. 8:67–77.
  • Teitler, Z. C. (2007). Multiplier ideals of general line arrangements in C3. Comm. Algebra 35(6):1902–1913, doi: 10.1080/00927870701247005.

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