Zobrazeno 1 - 10
of 84
pro vyhledávání: '"Mourtada, Hussein"'
We develop an algorithm for computing the motivic Hilbert zeta function for curve singularities with a monomial local ring. It is well known that the Hilbert scheme of points on a smooth curve is isomorphic to the symmetric product of the curve. Howe
Externí odkaz:
http://arxiv.org/abs/2411.03283
Publikováno v:
Comptes Rendus. Mathématique, Vol 358, Iss 2, Pp 177-187 (2020)
Roughly speaking, the monodromy conjecture for a singularity states that every pole of its motivic Igusa zeta function induces an eigenvalue of its monodromy. In this note, we determine both the motivic Igusa zeta function and the eigenvalues of mono
Externí odkaz:
https://doaj.org/article/ffc4bf694f1340e495ddc27b627ccdb0
We provide a complete classification of the singularities of cluster algebras of finite cluster type. This extends our previous work about the case of trivial coefficients. Additionally, we classify the singularities of cluster algebras for rank two.
Externí odkaz:
http://arxiv.org/abs/2401.06758
Autor:
Afsharijoo, Pooneh, Mourtada, Hussein
We prove a family of partition identities which is "dual" to the family of Andrews-Gordon's identities. These identities are inspired by a correspondence between a special type of partitions and "hypergraphs" and their proof uses combinatorial commut
Externí odkaz:
http://arxiv.org/abs/2309.13334
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 the Nash order on the set of equivariant divisorial valuations on any
Externí odkaz:
http://arxiv.org/abs/2203.13109
We consider the notions of Groebner fan and Newton non-degeneracy for an ideal on a toric variety, extending the two existing notions for ideals on affine spaces. We prove, without assumptions on the characteristic of the base fields, that the "Groeb
Externí odkaz:
http://arxiv.org/abs/2202.10874
Autor:
Mohsen, Zahraa, Mourtada, Hussein
We prove two partition identities which are dual to the Rogers-Ramanujan identities. These identities are inspired by (and proved using) a correspondence between three kinds of objects: a new type of partitions (neighborly partitions), monomial ideal
Externí odkaz:
http://arxiv.org/abs/2201.02481
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. In the case of a curve singularity $(C,O)$ contained in a non singular
Externí odkaz:
http://arxiv.org/abs/2110.11276
Classification of singularities of cluster algebras of finite type: the case of trivial coefficients
We provide a complete classification of the singularities of cluster algebras of finite type with trivial coefficients. Alongside, we develop a constructive desingularization of these singularities via blowups in regular centers over fields of arbitr
Externí odkaz:
http://arxiv.org/abs/2106.10290
We give a proof of a recent combinatorial conjecture due to the first author, which was discovered in the framework of commutative algebra. This result gives rise to new companions to the famous Andrews-Gordon identities. Our tools involve graded quo
Externí odkaz:
http://arxiv.org/abs/2104.09422