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math.AG2025
Fano compactifications of mutation algebras
Joshua Enwright, Luca Francone, Joaquín Moraga +1
In this article, we introduce the notion of mutation semigroup algebras. This concept simultaneously generalizes cluster algebras and semigroup algebras. We show that, under some m…
math.AG2025
The quasisymmetric flag variety: a toric complex on noncrossing partitions
Nantel Bergeron, Lucas Gagnon, Philippe Nadeau +2
We develop the geometric theory of equivariant quasisymmetry via a new ``quasisymmetric flag variety''. This is a toric complex in the flag variety whose fixed point set is the set…
math.AG2025
Vector-valued Laurent polynomial equations, toric vector bundles and matroids
Kiumars Kaveh, Askold Khovanskii, Hunter Spink
Let be a finite dimensional subspace of vector-valued Laurent polynomials invariant under the action of torus…