82
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

Specializations of Multigradings and the Arithmetical Rank of Lattice Ideals

&
Pages 1904-1918 | Received 14 Nov 2008, Published online: 13 May 2010

REFERENCES

  • Barile , M. ( 2007 ). On a special class of simplicial toric varieties . J. Algebra 308 : 368 – 382 .
  • Barile , M. , Lyubeznik , G. ( 2005 ). Set-theoretic complete intersections in characteristic p. Proc. Amer. Math. Soc. 133 : 3199 – 3209 .
  • Cox , D. A. ( 1995 ). The homogeneous coordinate ring of a toric variety . J. Algebraic Geom. 4 : 17 – 50 .
  • Eisenbud , D. ( 1994 ). Commutative Algebra with a View Toward Algebraic Geometry . New York , Berlin, Heidelberg : Springer Verlag .
  • Eisenbud , D. , Mustata , M. , Stillman , M. ( 2000 ). Cohomology of toric varieties and local cohomology with monomial supports . J. Symbolic Computation 29 : 583 – 600 .
  • Eto , K. ( 2006 ). Set-theoretic complete intersection lattice ideals in monoid rings . J. Algebra 299 : 689 – 706 .
  • Geiger , D. , Meek , C. , Sturmfels , B. ( 2006 ). On the toric algebra of graphical models . Ann. Statist. 34 : 1463 – 1492 .
  • Katsabekis , A. ( 2005 ). Projections of cones and the arithmetical rank of toric varieties . J. Pure Appl. Algebra 199 : 133 – 147 .
  • Katsabekis , A. , Morales , M. , Thoma , A. ( 2006 ). Stanley–Reisner rings and the radicals of lattice ideals . J. Pure Appl. Algebra 204 : 584 – 601 .
  • Katsabekis , A. , Thoma , A. ( 2007 ). Matchings in simplicial complexes, circuits and toric varieties . J. Comb. Theory, Ser. A 114 : 300 – 310 .
  • Katsabekis , A. , Thoma , A. ( 2007 ). Parametrizations of toric varieties over any field . J. Algebra 308 : 751 – 763 .
  • Knutson , A. , Miller , E. ( 2005 ). Gröbner geometry of Schubert polynomials . Ann. Math. 161 : 1245 – 1318 .
  • Kreuzer , M. , Robbiano , L. ( 2005 ). Computational Commutative Algebra 2 . Berlin : Springer-Verlag .
  • Miller , E. , Sturmfels , B. ( 2005 ). Combinatorial Commutative Algebra . Graduate Texts in Mathematics 227 . New York : Springer-Verlag .
  • Ohsugi , H. , Hibi , T. ( 1999 ). Toric ideals generated by quadratic binomials . J. Algebra 218 : 509 – 527 .
  • Sturmfels , B. ( 1995 ). Gröbner Bases and Convex Polytopes . University Lecture Series, No. 8 . Providence , RI : American Mathematical Society .
  • Villarreal , R. H. ( 1995 ). Rees algebras of edge ideals . Comm. Algebra 23 : 3513 – 3524 .
  • Communicated by R. Villarreal.

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.