| Tài liệu tham khảo |
Loại |
Chi tiết |
| [1] Anders Nedergaard Jensen (2007), "A non-regular Gr¨ obner fan", Dis- crete Comput. Geom, 37 (3), 443–453 |
Sách, tạp chí |
| Tiêu đề: |
A non-regular Gr¨obner fan |
| Tác giả: |
Anders Nedergaard Jensen |
| Năm: |
2007 |
|
| [2] Anders Nedergaard Jensen. Gfan, "A software system for Gr¨ obner fans and tropical varieties", Available at http://home.imf.au.dk/jensen/soft-ware/gfan/gfan.html |
Sách, tạp chí |
| Tiêu đề: |
A software system for Gr¨obner fansand tropical varieties |
|
| [3] Bernd Sturmfels (1996), "Gr¨ obner Bases And Convex Polytopes", vol- ume 8 of University Lecture Series, American Mathematical Society, Providence, Ri |
Sách, tạp chí |
| Tiêu đề: |
Gröbner Bases And Convex Polytopes |
| Tác giả: |
Bernd Sturmfels |
| Nhà XB: |
American Mathematical Society |
| Năm: |
1996 |
|
| [4] Bernd Sturmfels and Jenia Tevelev (2008), "Elimination theory for trop- ical varieties", Math. Res. Lett., 15 (3), 543–562 |
Sách, tạp chí |
| Tiêu đề: |
Elimination theory for tropical varieties |
| Tác giả: |
Bernd Sturmfels, Jenia Tevelev |
| Nhà XB: |
Math. Res. Lett. |
| Năm: |
2008 |
|
| [5] Daniele Alessandrini and Michele Nesci (2009), "On the tropicalization of the Hilbert scheme", Arxiv: 0912.0082 |
Sách, tạp chí |
| Tiêu đề: |
On the tropicalizationof the Hilbert scheme |
| Tác giả: |
Daniele Alessandrini and Michele Nesci |
| Năm: |
2009 |
|
| [6] David Bayer and Ian Morrison (1988), "Standard bases and geomet- ric invariant theory", I. Initial ideals and state polytopes, Computa- tional Aspects Of Commutative Algebra, J. Symbolic Comput, 6 (2-3), 209–217 |
Sách, tạp chí |
| Tiêu đề: |
Standard bases and geometric invariant theory |
| Tác giả: |
David Bayer, Ian Morrison |
| Nhà XB: |
Computational Aspects Of Commutative Algebra |
| Năm: |
1988 |
|
| [7] David Cox, John Little and Donal O’Shea (2007), Ideals, Varieties, And Algorithms, Undergraduate Texts In Mathematics, An Introduc- |
Sách, tạp chí |
| Tiêu đề: |
Ideals, Varieties, And Algorithms |
| Tác giả: |
David Cox, John Little, Donal O’Shea |
| Nhà XB: |
Undergraduate Texts In Mathematics |
| Năm: |
2007 |
|
| [8] Diane Maclagan (2001), "Antichains of monomial ideals are finite", Proc. Amer. Math. Soc., 129 (6), 1609–1615 (Electronic) |
Sách, tạp chí |
| Tiêu đề: |
Antichains of monomial ideals are finite |
| Tác giả: |
Diane Maclagan |
| Năm: |
2001 |
|
| [12] Jesus A. De Loera, J ¨ org Rambau and Francisco Santos (2010), Trian- gulations, volume 25 of Algorithms and Computation in Mathematics, Structures for algorithms and applications, Springer-Verlag, Berlin |
Sách, tạp chí |
| Tiêu đề: |
Trian- gulations |
| Tác giả: |
Jesus A. De Loera, Jörg Rambau, Francisco Santos |
| Nhà XB: |
Springer-Verlag |
| Năm: |
2010 |
|
| [13] Kerstin Hept and Thorsten Theobald (2009), "Tropical bases by regular projections", Proc. Amer.Math. Soc., 137 (7), 2233–2241 |
Sách, tạp chí |
| Tiêu đề: |
Tropical bases by regularprojections |
| Tác giả: |
Kerstin Hept and Thorsten Theobald |
| Năm: |
2009 |
|
| [14] Sam Payne (2009), "Fibers of tropicalization", Math. Z., 262 (2), 301–311 |
Sách, tạp chí |
| Tiêu đề: |
Fibers of tropicalization |
| Tác giả: |
Sam Payne |
| Năm: |
2009 |
|
| [9] Diane Maclagan and Bernd Sturmfels, Introduction to tropical geometry, Draft Book In Progress. Available at http://www.warwick.ac.uk/staff/D.Maclagan/papers/Tropicalbook.pdf |
Link |
|
| [11] Israel M. Gelfand, Mikhael M. Kapranov and Andrei V. Zelevinsky (2008),Discriminants, Resultants And Multidimensional Determinants, Modern Birkh Auser Classics, Birkh ¨ Auser Boston Inc., Boston, Ma, ¨ Reprint Of The 1994 Edition |
Khác |
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