16 citations · 22 across the 3 of their papers we have counts for
4 papers
The Hochschild cohomology of square-free monomial complete intersections
Nghia T. H. Tran, Emil Sköldberg
We determine the Hochschild cohomology algebras of the square-free monomial complete intersections. In particular, we provide a formula for the cup product which gives the cohomolo…
The universal Gröbner basis of a binomial edge ideal
Mourtadha Badiane, Isaac Burke, Emil Sköldberg
We show that the universal Gröbner basis and the Graver basis of a binomial edge ideal coincide. We provide a description for this basis set in terms of certain paths in the underl…
A parallel Buchberger algorithm for multigraded ideals
Mikael Vejdemo-Johansson, Emil Sköldberg, Jason Dusek
We demonstrate a method to parallelize the computation of a Gröbner basis for a homogenous ideal in a multigraded polynomial ring. Our method uses anti-chains in the lattice $\math…
The homology of Heisenberg Lie algebras over fields of characteristic two
Emil Sköldberg
The generating function of the Betti numbers of the Heisenberg Lie algebra over a field of characteristic 2 is calculated using discrete Morse theory.