Families of Gröbner Degenerations, Grassmannians and Universal Cluster Algebras

Let 𝑉 be the weighted projective variety defined by a weighted homogeneous ideal 𝐽 and 𝐶 a maximal cone in the Gröbner fan of 𝐽 with 𝑚 rays. We construct a flat family over 𝔸ᵐ that assembles the Gröbner degenerations of 𝑉 associated with all faces of 𝐶. This is a multi-parameter generalization of th...

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Veröffentlicht in:Symmetry, Integrability and Geometry: Methods and Applications
Datum:2021
Hauptverfasser: Bossinger, Lara, Mohammadi, Fatemeh, Nájera Chávez, Alfredo
Format: Artikel
Sprache:Englisch
Veröffentlicht: Інститут математики НАН України 2021
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/211364
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Families of Gröbner Degenerations, Grassmannians and Universal Cluster Algebras. Lara Bossinger, Fatemeh Mohammadi and Alfredo Nájera Chávez. SIGMA 17 (2021), 059, 46 pages

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