Add to ORKG37 pages, 7 figuresInternational audienceThis article considers some affine algebraic varieties attached to finite trees and closely related to cluster algebras. Their definition involves a canonical coloring of vertices of trees into three colors. These varieties are proved to be smooth and to admit sometimes free actions of algebraic tori. Some results are obtained on their number of points over finite fields and on their cohomology
AbstractWe give combinatorial formulas for the Laurent expansion of any cluster variable in any clus...
This book is motivated by the problem of determining the set of rational points on a variety, but it...
Let $Y$ be a complex scheme with cluster structure, $T$ be a complex torus and $\mathfrak{X}$ be a s...
37 pages, 7 figuresInternational audienceThis article considers some affine algebraic varieties atta...
This article considers some affine algebraic varieties attached to finite trees and closely related ...
11 pagesInternational audienceWe compute the number of points over finite fields of some algebraic v...
11 pagesInternational audienceWe compute the number of points over finite fields of some algebraic v...
We study presentations for subalgebras of invariants of the coordinate algebras of binary symmetri...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/46591/1/222_2003_Article_302.pd
In this thesis we identify certain cluster varieties with the complement of a union of closures of h...
A cluster algebra is a commutative algebra whose structure is decided by a skew-symmetrizable matrix...
We define a notion of height for rational points with respect to a vector bundle on a proper algebra...
17 pages ; 2 figures ; the title has changed ! some other minor modificationsRecent articles have sh...
17 pages ; 2 figures ; the title has changed ! some other minor modificationsRecent articles have sh...
We prove finiteness results for sets of varieties over number fields with good reduction outside a g...
AbstractWe give combinatorial formulas for the Laurent expansion of any cluster variable in any clus...
This book is motivated by the problem of determining the set of rational points on a variety, but it...
Let $Y$ be a complex scheme with cluster structure, $T$ be a complex torus and $\mathfrak{X}$ be a s...
37 pages, 7 figuresInternational audienceThis article considers some affine algebraic varieties atta...
This article considers some affine algebraic varieties attached to finite trees and closely related ...
11 pagesInternational audienceWe compute the number of points over finite fields of some algebraic v...
11 pagesInternational audienceWe compute the number of points over finite fields of some algebraic v...
We study presentations for subalgebras of invariants of the coordinate algebras of binary symmetri...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/46591/1/222_2003_Article_302.pd
In this thesis we identify certain cluster varieties with the complement of a union of closures of h...
A cluster algebra is a commutative algebra whose structure is decided by a skew-symmetrizable matrix...
We define a notion of height for rational points with respect to a vector bundle on a proper algebra...
17 pages ; 2 figures ; the title has changed ! some other minor modificationsRecent articles have sh...
17 pages ; 2 figures ; the title has changed ! some other minor modificationsRecent articles have sh...
We prove finiteness results for sets of varieties over number fields with good reduction outside a g...
AbstractWe give combinatorial formulas for the Laurent expansion of any cluster variable in any clus...
This book is motivated by the problem of determining the set of rational points on a variety, but it...
Let $Y$ be a complex scheme with cluster structure, $T$ be a complex torus and $\mathfrak{X}$ be a s...