The dimension of the determinantal schemevs(t,t,2) of the catalecticant matrix
作者:
Young Hyun Cho,
Bae Eun Jung,
期刊:
Communications in Algebra
(Taylor Available online 2000)
卷期:
Volume 28,
issue 5
页码: 2423-2443
ISSN:0092-7872
年代: 2000
DOI:10.1080/00927870008826968
出版商: Gordon and Breach Science Publishers Ltd.
数据来源: Taylor
摘要:
LetTbe a Gorenstein sequence of a graded artinian Gorenstein ringk[x0,x1,x2]/IWe develop a dimension formula for PGor(T)in terms of the alignment character. Based on our formula, we find a very large component ofVs(t,t,2) whens=rt-1+1andtis large enough. This answers Diesel’s conjecture negatively. Further we show thatVs(t,t,2) is irreducible of dimension 3s-1 fors≤t+1,t≥ 2 and dimVs(t,t,2)= 3s-1 for smalls. Finally an algorithm to calculate dimVs(t,t,2) is constructed, and we find the values of dimVs(t,t,2) fort≤ 16.
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