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The minimal resolution conjecture for points on the cubic surface

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Marta Casanellas

Commutative Algebra · Submitted 6 Nov 2006

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim 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 $X \subset \mathbb{P}^3$.

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arXiv IDmath/0611137 (version 1)
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CitationMarta Casanellas. "The minimal resolution conjecture for points on the cubic surface." arXiv:math/0611137 (2006). https://pith.science/paper/RHTHE2TG
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arXiv listing abstract v1. Results and the main claim are underlined; .

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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#sentencerolethe authors' own workstates the main conclusionstrength
s0 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 $X \subset \mathbb{P}^3$. result 0.72 0.96 0.96 asserted 1.00
s1 The main tool used is Gorenstein liaison theory and, more precisely, the relationship between the free resolutions of two linked schemes. method 1.00 0.52 0.04 asserted 1.00

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Original abstract

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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