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University of Illinois at Urbana-Champaign
Hypersurface Sections: A Study of Divisor Class Groups and of the Complexity of Tensor Products
Abstract
dc:descriptionThe 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).
Degree
thesis:*- Name thesis:degree_name
- Ph.D.
- Level thesis:degree_level
- Dissertation
- Discipline thesis:degree_discipline
- Mathematics
- Grantor
- University of Illinois at Urbana-Champaign
- Year dc:date
- 2015
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Miller, Claudia Maria
- Contributors dc:contributor
-
- Griffith, Phillip A.
Subjects
dc:subject × 1Rights
- Language dc:language
- eng
Identifiers
dc:identifier.*- Identifier
- (MiAaPQ)AAI9812707
- OAI identifier oai:identifier
- oai:www.ideals.illinois.edu:2142/86953