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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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2021 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2021
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/211364 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Families of Gröbner Degenerations, Grassmannians and Universal Cluster Algebras. Lara Bossinger, Fatemeh Mohammadi and Alfredo Nájera Chávez. SIGMA 17 (2021), 059, 46 pages |