Classifying Betti Numbers of Fiber Products
Commutative Algebra
2023-07-13 v1
Abstract
We consider fiber products of complete, local, noetherian algebras over a fixed residue field. Some of these rings cannot be minimally resolved with a free resolution using the recent work of the second author. We develop techniques to modify Geller's approach in order to recover the Betti numbers and Poincar\'e series for these fiber products.
Keywords
Cite
@article{arxiv.2307.05715,
title = {Classifying Betti Numbers of Fiber Products},
author = {Ela Celikbas and Hugh Geller and Tony Se},
journal= {arXiv preprint arXiv:2307.05715},
year = {2023}
}
Comments
10 pages, comments welcome/encouraged