Classifying Betti Numbers of Fiber Products
arXiv:2307.05715
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 Poincaré series for these fiber products.
10 pages, comments welcome/encouraged