Toric rings and ideals of nested configurations
Hidefumi Ohsugi and Takayuki Hibi
Source: J. Commut. Algebra Volume 2, Number 2
(2010), 187-208.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.jca/1275403637
Digital Object Identifier: doi:10.1216/JCA-2010-2-2-187
Mathematical Reviews number (MathSciNet): MR2647475
References
S. Aoki, T. Hibi, H. Ohsugi and A. Takemura, Gröbner bases of nested configurations, J. Algebra 320 (2008), 2583-2593.
Mathematical Reviews (MathSciNet): MR2441772
Digital Object Identifier: doi:10.1016/j.jalgebra.2008.05.023
C. Haase and A. Paffenholz, Quadratic Gröbner bases for smooth $3 \times 3$ transportation polytopes, J. Algebraic Combinatorics 30 (2009), 477-489.
Mathematical Reviews (MathSciNet): MR2563137
Digital Object Identifier: doi:10.1007/s10801-009-0173-4
M. Hochster, Rings of invariants of Tori, Cohen-Macaulay rings generated by monomials, and polytopes, The Annals Math., Second series, 96 (1972), 318-337.
Mathematical Reviews (MathSciNet): MR304376
Digital Object Identifier: doi:10.2307/1970791
JSTOR: links.jstor.org
H. Ohsugi, A geometric definition of combinatorial pure subrings and Gröbner bases of toric ideals of positive roots, Comment. Math. Univ. St. Pauli 56 (2007), 27-44.
Mathematical Reviews (MathSciNet): MR2356748
H. Ohsugi, J. Herzog and T. Hibi, Combinatorial pure subrings, Osaka J. Math. 37 (2000), 745-757.
Mathematical Reviews (MathSciNet): MR1789447
Zentralblatt MATH: 1096.13525
Project Euclid: euclid.ojm/1200789367
H. Ohsugi and T. Hibi, A normal $(0, 1)$-polytope none of whose regular triangulations is unimodular, Discrete Comput. Geom. 21 (1999), 201-204.
Mathematical Reviews (MathSciNet): MR1668090
--------, Toric ideals generated by quadratic binomials, J. Algebra 218 (1999), 509-527.
Mathematical Reviews (MathSciNet): MR1705794
Digital Object Identifier: doi:10.1006/jabr.1999.7918
--------, Non-very ample configurations arising from contingency tables, Annals Inst. Statist. Math., to appear.
B. Sturmfels, Gröbner bases and convex polytopes, American Mathematical Society, Providence, RI, 1995.
Mathematical Reviews (MathSciNet): MR1363949
Journal of Commutative Algebra
