Constructing modules of finite projective dimension with prescribed intersection multiplicities

[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.

[发布日期] 2005-12-15

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