The alpha problem & line count configurations

JOURNAL OF ALGEBRA

卷:407

Article

Cooper, Susan M.¹  Hartke, Stephen G.² 

[1] Cent Michigan Univ, Dept Math, Mt Pleasant, MI 48859 USA

[2] Univ Nebraska, Dept Math, Lincoln, NE 68588 USA

关键词: Hilbert functions;    Fat points;    Initial degrees;   

DOI  :  10.1016/j.jalgebra.2014.03.009

来源: Elsevier

【 摘 要 】

Motivated by the work of Chudnovsky and the Eisenbud Mazur Conjecture on evolutions, Harbourne and Huneke give a series of conjectures that relate symbolic and regular powers of ideals of fat points in projective space P-n. The conjectures involve both containment statements and bounds for the initial degree in which there is a non-zero form in an ideal. Working with initial degrees, we verify two of these conjectures for special line count configurations in projective 2-space over an algebraically closed field of characteristic 0. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

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