The minimal resolution conjecture for points on the cubic surface

Details The minimal resolution conjecture for points on the cubic surface The minimal resolution conjecture for points on the cubic surface

2006-11-06

arxiv.org/abs/math/0611137v1

Mathematics

Commutative Algebra

to appear in Canadian Journal of Mathematics

Scientific paper

In this paper we prove that the generalized version of the Minimal Resolution
Conjecture stated by Mustata holds for certain general sets of points on a
smooth cubic surface $X \subset \mathbb{P}^3$. The main tool used is Gorenstein
liaison theory and, more precisely, the relationship between the free
resolutions of two linked schemes.

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