The Minimal Free Resolution of a Fat Star-Configuration in ℙn-Reference-Cited by-同舟云学术

The Minimal Free Resolution of a Fat Star-Configuration in ℙn

Published:2014-01-20 Issue:01 Volume:21 Page:157-166
ISSN:1005-3867
Container-title:Algebra Colloquium
language:en
Short-container-title:Algebra Colloq.

Author:

Ahn Jeaman¹,Shin Yong Su²

Affiliation:

1. Department of Mathematics Education, Kongju National University, 182, Shinkwan-dong, Kongju, Chungnam 314-701, Korea

2. Department of Mathematics, Sungshin Women's University, Seoul 136-742, Korea

Abstract

We find the minimal free resolution of a fat star-configuration 𝕏 in ℙn of type (r,s,t) defined by general forms of degrees d1, …, dr, and show that a fat linear star-configuration 𝕏 in ℙ2 never has generic Hilbert function if (s,t) ≠ (1,1) or (2,2). These two results generalize the interesting results of [2].

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1005386714000121

Reference10 articles.

1. Generic initial ideals and graded Artinian-level algebras not having the Weak-Lefschetz Property

2. THE MINIMAL FREE RESOLUTION OF A STAR-CONFIGURATION IN ?nAND THE WEAK LEFSCHETZ PROPERTY

3. Some algebraic consequences of Green’s hyperplane restriction theorems

4. The hilbert function and the minimal free resolution of some gorenstein ideals of codimension 4

5. Characterization of Hilbert functions of Gorenstein Artin algebras with the weak Stanley property

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