Cover Image

The approach of cluster symmetry to Diophantine equations

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Bao, Leizhen, Li, Fang
Format:	Preprint
Published:	2025
Subjects:	Number Theory Commutative Algebra Combinatorics Rings and Algebras Representation Theory 11D72, 13F60, 13A50
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

A study on Diophantine equations via cluster theory
by: Bao, Leizhen, et al.
Published: (2023)

Tropicalization and cluster asymptotic phenomenon of generalized Markov equations
by: Chen, Zhichao, et al.
Published: (2025)

Recurrence formula, positivity and polytope basis in cluster algebras via Newton polytopes
by: Li, Fang, et al.
Published: (2022)

Segre products of cluster algebras
by: Grabowski, Jan E., et al.
Published: (2024)

Mutation invariants of cluster algebras of rank 2
by: Chen, Zhichao, et al.
Published: (2024)

A generalized cluster structure on $GL_n$ via birational Poisson maps
by: Gekhtman, Misha, et al.
Published: (2026)

On separating sets of polynomial invariants of finite abelian group actions
by: Schefler, Barna, et al.
Published: (2025)

On the separating Noether number of finite abelian groups
by: Schefler, Barna, et al.
Published: (2025)

A Higgs category for the cluster variety of triples of flags
by: Keller, Bernhard, et al.
Published: (2025)

Homological properties of invariant rings of permutation groups
by: Maithani, Aryaman
Published: (2025)

Generic separation for modular invariants
by: Reimers, Fabian, et al.
Published: (2025)

Invariants of Finite Orthogonal Groups of Plus Type in Odd Characteristic
by: Campbell, H. E. A., et al.
Published: (2024)

Cluster structures in mixed Grassmanianns
by: Fu, Zenan
Published: (2025)

Separating invariants for two-dimensional orthogonal groups over finite fields
by: Lopatin, Artem, et al.
Published: (2023)

On m-tuples of nilpotent 2x2 matrices over an arbitrary field
by: Lopatin, Artem
Published: (2023)

An affine almost positive roots model
by: Reading, Nathan, et al.
Published: (2017)

Cluster Monomials in Graph Laurent Phenomenon Algebras
by: Moura, Guilherme Zeus Dantas e, et al.
Published: (2024)

Initial-seed recursions and dualities for d-vectors
by: Reading, Nathan, et al.
Published: (2014)

Introduction to Cluster Algebras. Chapters 1-3
by: Fomin, Sergey, et al.
Published: (2016)

Positivity of generalized cluster scattering diagrams
by: Burcroff, Amanda, et al.
Published: (2025)

Y-frieze patterns
by: Germain, Antoine de Saint
Published: (2023)

A generalization of the dimension and radius of a subcategory of modules and its applications
by: Mifune, Yuki
Published: (2024)

Vanishing of DHKK complexities for singularity categories and generation of syzygy modules
by: Araya, Tokuji, et al.
Published: (2023)

Parabolic-equivariant modules over polynomial rings in infinitely many variables
by: Yu, Teresa
Published: (2024)

Starfish lemma via birational quasi-isomorphisms
by: Voloshyn, Dmitriy
Published: (2023)

Based cluster algebras of infinite rank
by: Qin, Fan
Published: (2024)

An approach to Martsinkovsky's invariant via Auslander's approximation theory
by: Otake, Yuya
Published: (2025)

Generalized cluster algebras are subquotients of cluster algebras
by: Ramos, Rolando, et al.
Published: (2025)

Partially compactified quantum cluster structures on simple algebraic groups and the full Berenstein--Zelevinsky conjecture
by: Qin, Fan, et al.
Published: (2025)

Modules (co)reduced relative to another module
by: Abebaw, Tilahun, et al.
Published: (2024)

Valuative independence and cluster theta reciprocity
by: Cheung, Man-Wai, et al.
Published: (2025)

Cotilting with balanced big Cohen-Macaulay modules
by: Bird, Isaac
Published: (2019)

Combinatorial cluster expansion formulas from triangulated surfaces
by: Yurikusa, Toshiya
Published: (2018)

Tropical friezes and cluster-additive functions via Fock-Goncharov duality and a conjecture of Ringel
by: Cao, Peigen, et al.
Published: (2024)

Scattering diagrams, tight gradings, and generalized positivity
by: Burcroff, Amanda, et al.
Published: (2024)

Resolutions of symmetric ideals via stratifications of derived categories
by: Ganapathy, Karthik
Published: (2024)

Topological endomorphism rings of tilting complexes
by: Hrbek, Michal
Published: (2022)

Universal geometric cluster algebras from surfaces
by: Reading, Nathan
Published: (2012)

Skew-symmetrizable cluster algebras from surfaces and symmetric quivers
by: Ciliberti, Azzurra
Published: (2025)

A cluster theory approach from mutation invariants to Diophantine equations
by: Chen, Zhichao, et al.
Published: (2025)