2 papers
math.CO2026
The -theorem in smooth approximation
Joel Hakavuori
We show that a sequence of simplicial polytopes approximating a smooth convex body has primitive Betti numbers diverging from the upper bound given by the -theorem. This complem…
math.AC2024
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…