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math.AC2017
The Koszul homology algebra of the second Veronese is generated by the lowest strand
Aldo Conca, Lukas Katthän, Victor Reiner
We show that the Koszul homology algebra of the second Veronese subalgebra of a polynomial ring over a field of characteristic zero is generated, as an algebra, by the homology cla…
math.AC2014★ 1 cited
Stanley depth and simplicial spanning trees
Lukas Katthän
We show that for proving the Stanley conjecture, it is sufficient to consider a very special class of monomial ideals. These ideals (or rather their lcm lattices) are in bijection…