151
Views
10
CrossRef citations to date
0
Altmetric
Original Articles

Dependence of Betti Numbers on Characteristic

&
Pages 563-570 | Received 03 Sep 2011, Published online: 18 Oct 2013

REFERENCES

  • Bruns , W. , Herzog , J. ( 1993 ). Cohen–Macaulay Rings . Cambridge Studies in Advanced Mathematics . Vol. 39 . Cambridge : Cambridge University Press .
  • Chari , M. K. ( 2000 ). On discrete Morse functions and combinatorial decompositions. Discrete Math. 217:101–113. Formal power series and algebraic combinatorics (Vienna, 1997) .
  • Eisenbud , D. ( 1995 ). Commutative Algebra, Graduate Texts in Mathematics . Vol. 150 . New York : Springer-Verlag . With a view toward algebraic geometry.
  • Faridi , S. ( 2002 ). The facet ideal of a simplicial complex . Manuscripta Math. 109 ( 2 ): 159 – 174 .
  • Forman , R. ( 2002 ). A user's guide to discrete Morse theory. Sém. Lothar. Combin. 48, Art. B48c, 35 .
  • Forman , R. ( 2002 ). Morse theory for cell complexes . Adv. Math. 134 ( 1 ): 90 – 145 .
  • Hatcher , A. ( 2002 ). Algebraic Topology . Cambridge : Cambridge University Press .
  • Katzman , M. ( 2006 ). Characteristic-independence of Betti numbers of graph ideals . J. Combin. Theory Ser. A 113 ( 3 ): 435 – 454 .
  • Miller , E. , Sturmfels , B. ( 2005 ). Combinatorial Commutative Algebra . Graduate Texts in Mathematics . Vol. 227 . New York : Springer-Verlag .
  • Provan , J. S. , Billera , L. J. ( 1980 ). Decompositions of simplicial complexes related to diameters of convex polyhedra . Math. Oper. Res. 5 ( 4 ): 576 – 594 .
  • Terai , N. , Hibi , T. ( 1996 ). Some results on Betti numbers of Stanley–Reisner rings. Proceedings of the 6th Conference on Formal Power Series and Algebraic Combinatorics (New Brunswick, NJ, 1994), pp. 311–320 .
  • Xu , B. ( 2001 ). Plane Graphs with Acyclic Complex. Computing and combinatorics (Guilin, 2001), pp. 395–399 .
  • Communicated by I. Swanson.

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.