Families of Gröbner Degenerations, Grassmannians and Universal Cluster Algebras

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2021
• Main Authors: Bossinger, Lara, Mohammadi, Fatemeh, Nájera Chávez, Alfredo
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2021
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211364
• 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

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