On the universal gröbner bases of varieties of minimal degree

Mathematical Research Letters

Volumn 15, Issue 5-6, 2008, Pages 1211-1221

  Petrović, Sonja ^a  

^a UNIVERSITY OF ILLINOIS AT CHICAGO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 59349113932     PISSN: 10732780     EISSN: None     Source Type: Journal    
DOI: 10.4310/mrl.2008.v15.n6.a11     Document Type: Article

References (12)

1. 4ti2 team, 4ti2 - A software package for algebraic, geometric and combinatorial problems on linear spaces, Available at www.4ti2.de.
2. D. Bernstein and A. Zelevinsky, Combinatorics of Maximal Minors, J. Algebraic Comb. 2 (1993), no. 2, 111-121.
3. J. L. David Cox and D. O'Shea, Using Algebraic Geometry, Vol. 185 of Graduate Texts in Mathematics, Springer-Verlag, Berlin (1995).
4. D. Eisenbud, Commutative algebra with a view toward algebraic geometry, Vol. 150 of Graduate Texts in Mathematics, Springer-Verlag, Berlin (1995).
5. D. Eisenbud and J. Harris, On varieties of minimal degree (a centennial account), Proc. Sympos. Pure Math. 46 (1987), no. Part 1, 3-13.
6. R. Hemmecke and K. A. Nairn, On the Gröbner complexity of matrices (2007).
7. P. D. Ron Graham and B. Sturmfels, Primitive partition identities, in T. S. D.Miklós, V.T. Sós, editor, Combinatorics, Paul Erdos is Eighty, 173-192, Janos Bolyai Mathematical Society, Budapest, Hungary (1996).
8. F. Santos and B. Sturmfels, Higher Lawrence configurations, J. Comb. Theory Ser. A 103 (2003), no. 1, 151-164.
9. J. L. Serkan Hoşten and R. Thomas, editors, Trends in Optimization, Vol. 61 of Proceedings of Symposia in Applied Mathematics, Amer. Math. Soc. (2004).
10. B. Sturmfels, Gröbner bases and convex polytopes, Vol. 8 of University Lecture Series, Amer. Math. Soc. (1996).
11. B. Sturmfels and R. R. Thomas, Variation of cost functions in integer programming, Math. Program. 77 (1997), no. 3, 357-387.
12. B. Sturmfels and A. Zelevinsky, Maximal minors and their leading terms, Adv. Math. 98 (1993), no. 1, 65-112.