Clarke, Oliver; Mohammadi, Fatemeh Standard monomial theory and toric degenerations of Schubert varieties from matching field tableaux. (English) Zbl 07312498 J. Symb. Comput. 104, 683-723 (2021). MSC: 14M15 PDF BibTeX XML Cite \textit{O. Clarke} and \textit{F. Mohammadi}, J. Symb. Comput. 104, 683--723 (2021; Zbl 07312498) Full Text: DOI
Loho, Georg; Smith, Ben Matching fields and lattice points of simplices. (English) Zbl 1442.05256 Adv. Math. 370, Article ID 107232, 41 p. (2020). MSC: 05E45 05E14 52B20 14T15 14N15 14M25 PDF BibTeX XML Cite \textit{G. Loho} and \textit{B. Smith}, Adv. Math. 370, Article ID 107232, 41 p. (2020; Zbl 1442.05256) Full Text: DOI
Loho, Georg Abstract tropical linear programming. (English) Zbl 07211666 Electron. J. Comb. 27, No. 2, Research Paper P2.51, 68 p. (2020). MSC: 14T90 90C05 52C40 91A50 05E45 PDF BibTeX XML Cite \textit{G. Loho}, Electron. J. Comb. 27, No. 2, Research Paper P2.51, 68 p. (2020; Zbl 07211666) Full Text: DOI
Clarke, Oliver; Mohammadi, Fatemeh Toric degenerations of Grassmannians and Schubert varieties from matching field tableaux. (English) Zbl 07209595 J. Algebra 559, 646-678 (2020). MSC: 14M15 05E14 13P10 14D05 PDF BibTeX XML Cite \textit{O. Clarke} and \textit{F. Mohammadi}, J. Algebra 559, 646--678 (2020; Zbl 07209595) Full Text: DOI
Nishida, Yuki; Watanabe, Sennosuke; Watanabe, Yoshihide A characterization of bases of tropical kernels in terms of Cramer’s rule. (English) Zbl 1442.15047 Linear Algebra Appl. 601, 301-310 (2020). MSC: 15A80 14T10 PDF BibTeX XML Cite \textit{Y. Nishida} et al., Linear Algebra Appl. 601, 301--310 (2020; Zbl 1442.15047) Full Text: DOI
Mohammadi, Fatemeh; Shaw, Kristin Toric degenerations of Grassmannians from matching fields. (English) Zbl 07140426 Algebr. Comb. 2, No. 6, 1109-1124 (2019). MSC: 14M15 14M25 14T05 PDF BibTeX XML Cite \textit{F. Mohammadi} and \textit{K. Shaw}, Algebr. Comb. 2, No. 6, 1109--1124 (2019; Zbl 07140426) Full Text: DOI arXiv
Lin, Bo; Tran, Ngoc Mai Two-player incentive compatible outcome functions are affine maximizers. (English) Zbl 1422.91039 Linear Algebra Appl. 578, 133-152 (2019). MSC: 91A05 91A40 14T05 PDF BibTeX XML Cite \textit{B. Lin} and \textit{N. M. Tran}, Linear Algebra Appl. 578, 133--152 (2019; Zbl 1422.91039) Full Text: DOI
Di Marca, Michela; Varbaro, Matteo On the diameter of an ideal. (English) Zbl 1400.13009 J. Algebra 511, 471-485 (2018). Reviewer: T. Tamizh Chelvam (Tamilnadu) MSC: 13A15 05E15 13P10 PDF BibTeX XML Cite \textit{M. Di Marca} and \textit{M. Varbaro}, J. Algebra 511, 471--485 (2018; Zbl 1400.13009) Full Text: DOI arXiv
Petrović, Sonja; Thoma, Apostolos; Vladoiu, Marius Bouquet algebra of toric ideals. (English) Zbl 1419.14078 J. Algebra 512, 493-525 (2018). Reviewer: Nelly Villamizar (Swansea) MSC: 14M25 13P10 05C65 13D02 PDF BibTeX XML Cite \textit{S. Petrović} et al., J. Algebra 512, 493--525 (2018; Zbl 1419.14078) Full Text: DOI arXiv
Mohammadi, Fatemeh; Rauh, Johannes Prime splittings of determinantal ideals. (English) Zbl 1439.13032 Commun. Algebra 46, No. 5, 2278-2296 (2018). MSC: 13C40 13H10 13P10 05E40 PDF BibTeX XML Cite \textit{F. Mohammadi} and \textit{J. Rauh}, Commun. Algebra 46, No. 5, 2278--2296 (2018; Zbl 1439.13032) Full Text: DOI
Bruns, Winfried; Conca, Aldo Products of Borel fixed ideals of maximal minors. (English) Zbl 1390.13047 Adv. Appl. Math. 91, 1-23 (2017). Reviewer: Takesi Kawasaki (Tokyo) MSC: 13D15 13F50 14M12 PDF BibTeX XML Cite \textit{W. Bruns} and \textit{A. Conca}, Adv. Appl. Math. 91, 1--23 (2017; Zbl 1390.13047) Full Text: DOI arXiv
Sturmfels, Bernd The Hurwitz form of a projective variety. (English) Zbl 1359.14043 J. Symb. Comput. 79, Part 1, 186-196 (2017). Reviewer: Francesca Cioffi (Napoli) MSC: 14M15 68W30 14N05 14Q05 PDF BibTeX XML Cite \textit{B. Sturmfels}, J. Symb. Comput. 79, Part 1, 186--196 (2017; Zbl 1359.14043) Full Text: DOI arXiv
Ardila, Federico; Boocher, Adam The closure of a linear space in a product of lines. (English) Zbl 1331.05051 J. Algebr. Comb. 43, No. 1, 199-235 (2016). MSC: 05B35 13P10 52B40 PDF BibTeX XML Cite \textit{F. Ardila} and \textit{A. Boocher}, J. Algebr. Comb. 43, No. 1, 199--235 (2016; Zbl 1331.05051) Full Text: DOI arXiv
Conca, Aldo Universal Gröbner bases for maximal minors of matrices of linear forms. (English) Zbl 1329.13047 Benedetti, Bruno (ed.) et al., Combinatorial methods in topology and algebra. Based on the presentations at the INdAM conference, CoMeTa 2013, Cortona, Italy, September 2013. Cham: Springer (ISBN 978-3-319-20154-2/hbk; 978-3-319-20155-9/ebook). Springer INdAM Series 12, 25-30 (2015). MSC: 13P10 14M12 13F55 PDF BibTeX XML Cite \textit{A. Conca}, Springer INdAM Ser. 12, 25--30 (2015; Zbl 1329.13047) Full Text: DOI
Allamigeon, Xavier; Benchimol, Pascal; Gaubert, Stéphane; Joswig, Michael Tropicalizing the simplex algorithm. (English) Zbl 1334.14033 SIAM J. Discrete Math. 29, No. 2, 751-795 (2015). Reviewer: Péter E. Frenkel (Budapest) MSC: 14T05 90C05 PDF BibTeX XML Cite \textit{X. Allamigeon} et al., SIAM J. Discrete Math. 29, No. 2, 751--795 (2015; Zbl 1334.14033) Full Text: DOI arXiv
Fink, Alex; Rincón, Felipe Stiefel tropical linear spaces. (English) Zbl 1321.15044 J. Comb. Theory, Ser. A 135, 291-331 (2015). MSC: 15A80 14T05 52B40 PDF BibTeX XML Cite \textit{A. Fink} and \textit{F. Rincón}, J. Comb. Theory, Ser. A 135, 291--331 (2015; Zbl 1321.15044) Full Text: DOI arXiv
Boocher, Adam; Robeva, Elina Robust toric ideals. (English) Zbl 1315.13041 J. Symb. Comput. 68, Part 1, 254-264 (2015). Reviewer: Marcel Morales (Saint-Martin-d’Hères) MSC: 13P10 14M12 13D02 PDF BibTeX XML Cite \textit{A. Boocher} and \textit{E. Robeva}, J. Symb. Comput. 68, Part 1, 254--264 (2015; Zbl 1315.13041) Full Text: DOI arXiv
Christophersen, Jan Arthur; Ilten, Nathan Owen Degenerations to unobstructed Fano Stanley-Reisner schemes. (English) Zbl 1341.14015 Math. Z. 278, No. 1-2, 131-148 (2014). Reviewer: Klaus Altmann (Berlin) MSC: 14J45 13F55 14D15 14M25 PDF BibTeX XML Cite \textit{J. A. Christophersen} and \textit{N. O. Ilten}, Math. Z. 278, No. 1--2, 131--148 (2014; Zbl 1341.14015) Full Text: DOI arXiv
Akian, Marianne; Gaubert, Stéphane; Guterman, Alexander Tropical polyhedra are equivalent to mean payoff games. (English) Zbl 1239.14054 Int. J. Algebra Comput. 22, No. 1, 1250001, 43 p. (2012). MSC: 14T05 91A50 15A80 PDF BibTeX XML Cite \textit{M. Akian} et al., Int. J. Algebra Comput. 22, No. 1, 1250001, 43 p. (2012; Zbl 1239.14054) Full Text: DOI arXiv
Faugère, Jean-Charles; El Din, Mohab Safey; Spaenlehauer, Pierre-Jean Gröbner bases of bihomogeneous ideals generated by polynomials of bidegree \((1,1)\): algorithms and complexity. (English) Zbl 1226.13017 J. Symb. Comput. 46, No. 4, 406-437 (2011). Reviewer: Gabor Hegedüs (Linz) MSC: 13P10 PDF BibTeX XML Cite \textit{J.-C. Faugère} et al., J. Symb. Comput. 46, No. 4, 406--437 (2011; Zbl 1226.13017) Full Text: DOI
Kalinin, M. Universal and comprehensive Gröbner bases of the classical determinantal ideal. (English. Russian original) Zbl 1288.13023 J. Math. Sci., New York 168, No. 3, 385-389 (2010); translation from Zap. Nauchn. Semin. POMI 373, 134-143 (2009). MSC: 13P10 13C40 68W30 PDF BibTeX XML Cite \textit{M. Kalinin}, J. Math. Sci., New York 168, No. 3, 385--389 (2010; Zbl 1288.13023); translation from Zap. Nauchn. Semin. POMI 373, 134--143 (2009) Full Text: DOI
Gaubert, Stéphane; Meunier, Frédéric Carathéodory, Helly and the others in the max-plus world. (English) Zbl 1219.14071 Discrete Comput. Geom. 43, No. 3, 648-662 (2010). Reviewer: Hannah Markwig (Göttingen) MSC: 14T05 52A35 PDF BibTeX XML Cite \textit{S. Gaubert} and \textit{F. Meunier}, Discrete Comput. Geom. 43, No. 3, 648--662 (2010; Zbl 1219.14071) Full Text: DOI arXiv
Pak, Igor On the number of faces of certain transportation polytopes. (English) Zbl 0963.90042 Eur. J. Comb. 21, No. 5, 689-694 (2000). MSC: 90C08 05A15 PDF BibTeX XML Cite \textit{I. Pak}, Eur. J. Comb. 21, No. 5, 689--694 (2000; Zbl 0963.90042) Full Text: DOI
Babson, E. K.; Billera, L. J. The geometry of products of minors. (English) Zbl 0924.52005 Discrete Comput. Geom. 20, No. 2, 231-249 (1998). Reviewer: J.Linhart (Salzburg) MSC: 52B20 14M25 PDF BibTeX XML Cite \textit{E. K. Babson} and \textit{L. J. Billera}, Discrete Comput. Geom. 20, No. 2, 231--249 (1998; Zbl 0924.52005) Full Text: DOI
Glassbrenner, Donna; Smith, Karen E. Sparse systems of parameters for determinantal varieties. (English) Zbl 0930.14033 Adv. Appl. Math. 19, No. 4, 529-558 (1997). Reviewer: N.Mohan Kumar (St.Louis) MSC: 14M12 14Q15 13P10 PDF BibTeX XML Cite \textit{D. Glassbrenner} and \textit{K. E. Smith}, Adv. Appl. Math. 19, No. 4, 529--558 (1997; Zbl 0930.14033) Full Text: DOI
Santhanakrishnan, Prakash; Zelevinsky, Andrei Simple vertices of maximal minor polytopes. (English) Zbl 0797.52008 Discrete Comput. Geom. 11, No. 3, 289-309 (1994). MSC: 52B20 52B05 PDF BibTeX XML Cite \textit{P. Santhanakrishnan} and \textit{A. Zelevinsky}, Discrete Comput. Geom. 11, No. 3, 289--309 (1994; Zbl 0797.52008) Full Text: DOI EuDML
Onn, Shmuel Hilbert series of group representations and Gröbner bases for generic modules. (English) Zbl 0821.13011 J. Algebr. Comb. 3, No. 2, 187-206 (1994). Reviewer: F.Pauer (Innsbruck) MSC: 13P10 13D40 20C40 PDF BibTeX XML Cite \textit{S. Onn}, J. Algebr. Comb. 3, No. 2, 187--206 (1994; Zbl 0821.13011) Full Text: DOI
Bernstein, David; Zelevinsky, Andrei Combinatorics of maximal minors. (English) Zbl 0794.13021 J. Algebr. Comb. 2, No. 2, 111-121 (1993). Reviewer: M.Morales (Saint-Martin-d’Heres) MSC: 13P10 05B35 15A15 14M25 PDF BibTeX XML Cite \textit{D. Bernstein} and \textit{A. Zelevinsky}, J. Algebr. Comb. 2, No. 2, 111--121 (1993; Zbl 0794.13021) Full Text: DOI
Kapranov, M. M.; Sturmfels, Bernd; Zelevinsky, Andrei V. Chow polytopes and general resultants. (English) Zbl 0780.14027 Duke Math. J. 67, No. 1, 189-218 (1992). Reviewer: E.Casas-Alvero (Barcelona) MSC: 14M25 14N10 PDF BibTeX XML Cite \textit{M. M. Kapranov} et al., Duke Math. J. 67, No. 1, 189--218 (1992; Zbl 0780.14027) Full Text: DOI