Lim Ulrich sequences and Boij-Söderberg cones
arXiv:2209.03498 · doi:10.1017/fms.2023.108.
Abstract
This paper extends the results of Boij, Eisenbud, Erman, Schreyer, and Söderberg on the structure of Betti cones of finitely generated graded modules and finite free complexes over polynomial rings, to all finitely generated graded rings admitting linear Noether normalizations. The key new input is the existence of lim Ulrich sequences of graded modules over such rings.
26 pages. This is the final version of the article, which has now appeared in the Forum of Mathematics, Sigma