Geodesic
On constructing resolutions over the polynomial
Homology, homotopy, and applications, Tome 4 (2002) no. 2, pp. 315-336.

Voir la notice de l'article provenant de la source International Press of Boston

Let $k$ be a field, and $A$ be a polynomial algebra over $k$. Let $I\subseteq A$ be an ideal. We present a novel method for computing resolutions of $A/I$ over $A$. The method is a synthesis of Gröbner basis techniques and homological perturbation theory. The examples in this paper were computed using computer algebra.
DOI : 10.4310/HHA.2002.v4.n2.a15
Classification : 13D02
Keywords: homology, homotopy, homological perturbation, resolution, polynomial ring, Gröbner basis, normal form 
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Leif Johansson; Larry Lambe; Emil Sköldberg. On constructing resolutions over the polynomial. Homology, homotopy, and applications, Tome 4 (2002) no. 2, pp. 315-336. doi : 10.4310/HHA.2002.v4.n2.a15. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2002.v4.n2.a15/

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