Geodesic
Lyubeznik's resolution and rooted complexes
Journal of Algebraic Combinatorics, Tome 16 (2002) no. 1, pp. 97-101.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We describe a new family of free resolutions for a monomial ideal $I$, generalizing Lyubeznik"s construction. These resolutions are cellular resolutions supported on the rooted complexes of the lcm-lattice of $I$. Our resolutions are minimal for the matroid ideal of a finite projective space.
Keywords: cellular resolutions, lcm-lattice, geometric lattice, matroid ideal 
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Novik, Isabella. Lyubeznik's resolution and rooted complexes. Journal of Algebraic Combinatorics, Tome 16 (2002) no. 1, pp. 97-101. http://geodesic.mathdoc.fr/item/JAC_2002__16_1_a0/