Approximation complexes of blowing-up rings, II
作者： J Herzog , A Simis , W.V Vasconcelos
DOI: 10.1016/0021-8693(83)90173-4
关键词: Mathematics 、 Symmetric algebra 、 Pure mathematics 、 Homology (mathematics) 、 Blowing up 、 Arithmetic function 、 Discrete mathematics 、 Algebra and Number Theory
摘要: This paper is a sequel to [ 111, where we studied the relationships that hold between arithmetical properties of Rees ring, 9(I), and symmetric algebra, Sym(l), an ideal I (and some their fibers) depth Koszul homology modules, H,(I; R), on set generators I. The connection these objects realized by certain differential graded algebras-the so-called approximation complexes-that are built out ordinary complexes. These compIexes show, however. different sensitivities, being acyclic in situations much broader than usual context regular sequences. It has been found extensions thereof, d sequences proper sequences, play here role “acyclic sequence.” interplay complexes will be basic point view here, give:
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