The Relation Type of Varieties
Algebraic Geometry
2022-08-04 v1 Commutative Algebra
Abstract
In this paper, we introduce the notion of relation type of analytic and formal algebras and prove that it is well-defined and invariant by describing this notion in terms of the Andr\'e-Quillen homology and using the Jacobi-Zariski long exact sequence of homology. In particular, the relation type is an invariant of schemes of finite type over a field, analytic varieties, and algebroid varieties.
Cite
@article{arxiv.2208.01763,
title = {The Relation Type of Varieties},
author = {Maryam Akhavin and Abbas Nasrollah Nejad},
journal= {arXiv preprint arXiv:2208.01763},
year = {2022}
}
Comments
20 pages. Comments are welcome