Constructing modules of finite projective dimension with prescribed intersection multiplicities

JOURNAL OF ALGEBRA

卷:294

Article

关键词: intersection multiplicity;    finite projective dimension;    vanishing theorems;    perfect complexes;   

DOI  :  10.1016/j.jalgebra.2005.03.020

来源: Elsevier

【 摘 要 】

Recently Roberts and Srinivas proved the existence of large classes of modules of finite length and finite projective dimension with prescribed intersection multiplicities, giving many new counter-examples to earlier vanishing conjectures. We present an explicit method for constructing the examples whose existence is implied by their theorem. (c) 2005 Elsevier Inc. All rights reserved.

【 授权许可】

Free