Results 21 to 30 of about 121 (44)
SAGBI and Gr\"obner Bases Detection
We introduce a detection algorithm for SAGBI basis in polynomial rings, analogous to a Gr\"obner basis detection algorithm previously proposed by Gritzmann and Sturmfels.
Borovik, Viktoriia +2 more
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Toric degenerations and Newton-Okounkov bodies
In recent times, a wide variety of combinatorics has been introduced in order to solve problems from algebraic geometry. Newton-Okounkov bodies and tropical geometry are two such combinatorial theories.
Proost, Cas
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We explore a family of monomial ideals derived as Gr\"obner degenerations of determinantal ideals. These ideals, previously examined as block diagonal matching field ideals within the realm of toric degenerations of Grassmannians, are identified as ...
Mohammadi, Fatemeh
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Cohomology Rings of Toric Bundles and the Ring of Conditions. [PDF]
Arnold Math JHofscheier J, Khovanskii A, Monin L.
europepmc +1 more source
Some of the next articles are maybe not open access.
Convergence of polarizations, toric degenerations, and Newton–Okounkov bodies
Communications in Analysis and Geometry, 2021Megumi Harada, Kiumars Kaveh
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Newton–Okounkov Bodies of Flag Varieties and Combinatorial Mutations
International Mathematics Research Notices, 2021Naoki Fujita, Akihiro Higashitani
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Effective divisors and Newton-Okounkov bodies of Hilbert schemes of points on toric surfaces
Journal of Algebra, 2023exaly
Newton–Okounkov theory in an abstract setting
Beitrage Zur Algebra Und Geometrie, 2021Alex Küronya, Joaquim Roé
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Folding procedure for Newton-Okounkov polytopes of Schubert varieties
Communications in Algebra, 2018Naoki Fujita
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Newton–Okounkov convex bodies of Schubert varieties and polyhedral realizations of crystal bases
Mathematische Zeitschrift, 2016Naoki Fujita
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