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math.AG2020
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…
math.AG2020
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…
math.AG2020★ 5 cited
Newton non-degenerate -constant deformations admit simultaneous embedded resolutions
Maximiliano Leyton-Álvarez, Hussein Mourtada, Mark Spivakovsky
Let denote the germ of at the origin. Let be a hypersurface germ in and a deformation of over $\mathbb{C}_{…