Lim Ulrich sequences and Boij-S\"{o}derberg cones
Commutative Algebra
2024-10-01 v2 Algebraic Geometry
Abstract
This paper extends the results of Boij, Eisenbud, Erman, Schreyer, and S\"oderberg 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.
Keywords
Cite
@article{arxiv.2209.03498,
title = {Lim Ulrich sequences and Boij-S\"{o}derberg cones},
author = {Srikanth B. Iyengar and Linquan Ma and Mark E. Walker},
journal= {arXiv preprint arXiv:2209.03498},
year = {2024}
}
Comments
26 pages. This is the final version of the article, which has now appeared in the Forum of Mathematics, Sigma