6 citations · 14 across the 17 of their papers we have counts for
18 papers · 1 filter
Partition identities associated with -Surface singularities
Pooneh Afsharijoo, Pedro D. González Pérez, Hussein Mourtada
We prove a family of partition identities involving integer partitions in three colors. The conditions imposed on the types of partitions appearing in these identities involve cons…
The Nash problem for torus actions of complexity one
David Bourqui, Kevin Langlois, Hussein Mourtada
We solve the equivariant generalized Nash problem for any non-rational normal variety with torus action of complexity one. Namely, we give an explicit combinatorial description of…
Resolving singularities of curves with one toric morphism
Ana Belén de Felipe, Pedro D. González Pérez, Hussein Mourtada
We give an explicit positive answer, in the case of reduced curve singularities, to a question of B. Teissier about the existence of a toric embedded resolution after reembedding.…
Classification of singularities of cluster algebras of finite type: the case of trivial coefficients
Angelica Benito, Eleonore Faber, Hussein Mourtada +1
We provide a complete classification of the singularities of cluster algebras of finite type with trivial coefficients. Alongside, we develop a constructive desingularization of th…
Partition identities and application to infinite dimensional Groebner basis and viceversa
Pooneh Afsharijoo, Hussein Mourtada
In the first part of this article, we consider a Groebner basis of the differential ideal {x_1^2} with respect to "the" weighted lexicographical monomial order and show that its co…
The embedded Nash problem of birational models of rational triple singularities
Buşra Karadeniz, Hussein Mourtada, Camille Plénat +1
We consider the question whether one can construct an embedded resolution of singularities of a singular variety from the data of the irreducible components…