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math.AT2021
Finding Bounded Simplicial Sets with Finite Homology
Preston Cranford, Peter Rowley
The central problem in computational algebraic topology is the computation of the homotopy groups of a given space, represented as a simplicial set. Algorithms have been found whic…
math.CO2021★ 1 cited
Triconed Graphs, weighted forests, and h-vectors of matroid complexes
Jacob David, Pierce Lai, SuHo Oh +1
A well-known conjecture of Stanley is that the h-vector of a matroid is a pure O-sequence. There have been numerous papers with partial progress on this conjecture, but it is still…
math.AC2021
Projective toric varieties of codimension 2 with maximal Castelnuovo--Mumford regularity
Preston Cranford, Alan Peng, Vijay Srinivasan
The Eisenbud--Goto conjecture states that for a nondegenerate irreducible projective variety over an alg…