Modules of constant Jordan type with two non-projective blocks

JOURNAL OF ALGEBRA

卷:346

Article

Baland, Shawn

关键词: Modules of constant Jordan type;    Elementary abelian p-groups;    Vector bundles;    Chern numbers;    Projective space;   

DOI  :  10.1016/j.jalgebra.2011.08.023

来源: Elsevier

【 摘 要 】

Let E be an elementary abelian p-group of rank r and let k be an algebraically closed field of characteristic p. We investigate finitely generated kE-modules M of stable constant Jordan type [a][b] for 1 <= a, b <= p - 1 using the functors F(i) from modules of constant Jordan type to vector bundles on projective space P(r-1) constructed by Benson and Pevtsova (in press) [3]. In particular, we study relations on the first few Chern numbers of the trivial bundle (M) over bar to obtain restrictions on the values of a and b for sufficiently large ranks and primes. Finally, we use similar techniques to find restrictions on the values of p and r for which there exist modules of stable constant Jordan type [3][2][1]. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free