Containment problem for points on a reducible conic in P2

JOURNAL OF ALGEBRA

卷:394

Article

Denkert, Annika¹  Janssen, Mike¹ 

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

关键词: Algebraic geometry;    Reducible conic;    Fat points;    Resurgence;    Symbolic power;   

DOI  :  10.1016/j.jalgebra.2013.06.032

来源: Elsevier

【 摘 要 】

Given an ideal I in a Noetherian ring, one can ask the containment question: for which m and r is the symbolic power I-(m) contained in the ordinary power I-r? C. Bocci and B. Harbourne study the containment question in a geometric setting, where the ideal I is in a polynomial ring over a field. Like them, we will consider special geometric constructs. In particular, we obtain a complete solution in two extreme cases of ideals of points on a pair of lines in P-2: in one case, the number of points on each line is the same, while in the other all the points but one are on one of the lines. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free