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math.AC2026
Subadditivity of shifts, Eilenberg-Zilber shuffle products and homology of lattices
Karim Adiprasito, Anders Björner, Joel Hakavuori +2
We show that the maximal shifts in the minimal free resolution of the quotients of a polynomial ring by a monomial ideal are subadditive as a function of the homological degree. Th…
math.AC2026
Generalized binomial edge ideals are Cartwright-Sturmfels
Aldo Conca, Emanuela De Negri, Volkmar Welker
Binomial edge ideals associated to a simple graph G were introduced by Herzog and collaborators and, independently, by Ohtani. They became an ``instant classic" in combinatorial co…