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Title:Hypersurface Sections: A Study of Divisor Class Groups and of the Complexity of Tensor Products
Author(s):Miller, Claudia Maria
Doctoral Committee Chair(s):Griffith, P.A.
Department / Program:Mathematics
Discipline:Mathematics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):Mathematics
Abstract:The second part concerns the notion of complexity, a measure of the growth of the Betti numbers of a module. We show that over a complete intersection R the complexity of the tensor product $M\otimes\sb{R}N$ of two finitely generated modules is the sum of the complexities of each if $Tor\sbsp{i}{R}(M,\ N)=0$ for $i\ge1.$ One of the applications is simplification of the proofs of central results over hypersurface rings in a paper of C. Huneke and R. Wiegand on the tensor product of modules and the rigidity of Tor (HW1).
Issue Date:1997
Type:Text
Language:English
Description:39 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1997.
URI:http://hdl.handle.net/2142/86953
Other Identifier(s):(MiAaPQ)AAI9812707
Date Available in IDEALS:2015-09-28
Date Deposited:1997


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