Lim Ulrich sequences and Boij-Söderberg cones

Fuente: arXiv
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Autores principales: Iyengar, Srikanth B., Ma, Linquan, Walker, Mark E.
Formato: Preprint
Publicado: 2022
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author Iyengar, Srikanth B.
Ma, Linquan
Walker, Mark E.
author_facet Iyengar, Srikanth B.
Ma, Linquan
Walker, Mark E.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2209_03498
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Lim Ulrich sequences and Boij-Söderberg cones
Iyengar, Srikanth B.
Ma, Linquan
Walker, Mark E.
Commutative Algebra
Algebraic Geometry
13D02 (primary), 13A35, 13C14, 14F06 (secondary)
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.
title Lim Ulrich sequences and Boij-Söderberg cones
topic Commutative Algebra
Algebraic Geometry
13D02 (primary), 13A35, 13C14, 14F06 (secondary)
url https://arxiv.org/abs/2209.03498