73
Views
4
CrossRef citations to date
0
Altmetric
Original Articles

The Bhattacharya Function of Complete Monomial Ideals in Two Variables

&
Pages 2875-2886 | Received 08 Aug 2013, Published online: 04 Jun 2015

REFERENCES

  • Bhattacharya , P. B. ( 1957 ). The Hilbert function of two ideals . Math. Proc. Cambridge Philos. Soc. 53 : 568 – 575 .
  • Crispin Quinonez , V. ( 2002 ). Integrally Closed Monomial Ideals and Powers of Ideals. Research Reports in Mathematics No. 7, Department of Mathematics, Stockholm University. Stockholm, Sweden.
  • Cox , D. , Little , J. , O'Shea , D. ( 1998 ). Using Algebraic Geometry , New York : Springer .
  • Grünbaum , B. , Shephard , G. C. ( 1993 ). Picks theorem . Amer. Math. Monthly 100 : 150 – 161 .
  • Huneke , C. , Swanson , I. ( 2006 ). Integral Closure of Ideals, Rings and Modules , Cambridge University Press .
  • Katz , D. , Verma , J. ( 1989 ). Extended Rees algebras and mixed multiplicities . Math. Z. 202 : 111 – 128 .
  • Lipman , J. ( 1988 ). On complete ideals in regular local rings . In: Commutative Algebra and Algebraic Geometry , vol. I , Kinokuniya , Tokyo , pp. 203 – 231 .
  • Teissier , B. ( 2004 ). Monomial ideals, binomial ideals, polynomial ideals . In: Trends in Commutative Algebra , Math. Sci. Res. Inst. Publ. , vol. 51 , Cambridge University Press , pp. 211 – 246 .
  • Trung , N. V. , Verma , J. ( 2007 ). Mixed multiplicities of ideals versus mixed volumes of polytopes . Trans. Amer. Math. Soc. 359 : 4711 – 4727 .
  • Trung , N. V. , Verma , J. ( 2010 ). Hilbert functions of multigraded algebras, mixed multiplicities of ideals and their applications . J. Commut. Algebra 2 : 515 – 565 .
  • Verma , J. ( 1990 ). Joint reductions of complete ideals . Nagoya Math. J. 118 : 155 – 163 .
  • Vasconcelos , W. (2005). Integral closure: Rees algebras. In: Multiplicities, Algorithm , Springer.
  • Zariski , O. , Samuel , P. ( 1960 ). Commutative Algebra , vol. 2 , Princeton : van Nostrand .
  • Communicated by G. Leuschke.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.