12 citations · 15 across the 4 of their papers we have counts for
7 papers
The cluster complex for cluster Poisson varieties and representations of acyclic quivers
Carolina Melo, Alfredo Nájera Chávez
Let be a skew-symmetrizable cluster Poisson variety. The cluster complex was introduced by Gross, Hacking, Keel and Kontsevich. It codifies the the…
Newton--Okounkov bodies and minimal models for cluster varieties
Lara Bossinger, Man-Wai Cheung, Timothy Magee +1
Let be a (partial) minimal model of a scheme with a cluster structure. Under natural assumptions, for every choice of seed we associate a Newton--Okounkov body to every div…
Families of Gröbner Degenerations, Grassmannians and Universal Cluster Algebras
Lara Bossinger, Fatemeh Mohammadi, Alfredo Nájera Chávez
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 ov…
Compactifications of cluster varieties and convexity
Man-Wai Cheung, Timothy Magee, Alfredo Nájera Chávez
In [GHKK18], Gross-Hacking-Keel-Kontsevich discuss compactifications of cluster varieties from "positive subsets" in the real tropicalization of the mirror. To be more precise, let…
On Frobenius (completed) orbit categories
Alfredo Nájera Chávez
Let be a Frobenius category, its subcategory of projective objects and an exact automorphism. We prove that there is…
C-vectors and dimension vectors for cluster-finite quivers
Alfredo Nájera Chávez
Let be a quiver with a non degenerate potential. We give a new description of the \textbf{c}-vectors of . We use it to show that, if is mutation equivalent to a Dynk…
On the c-vectors of an acyclic cluster algebra
Alfredo Nájera Chávez
We prove that the set of c-vectors of the cluster algebra associated to an acyclic quiver Q coincides with the set of real Schur roots and their opposites in the root system associ…