Mathematics, Department of
Department of Mathematics: Dissertations, Theses, and Student Research
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First Advisor
Srikanth B. Iyengar
Date of this Version
12-2010
Document Type
Dissertation
Abstract
We investigate the cohomology of modules over commutative complete intersection rings. The first main result is that if M is an arbitrary module over a complete intersection ring R, and if one even self-extension module of M vanishes then M has finite projective dimension. The second main result gives a new proof of the fact that the support variety of a Cohen-Macaulay module whose completion is indecomposable is projectively connected.
Comments
A dissertation Presented to the Faculty of The Graduate College at the University of Nebraska In Partial Fulfillment of Requirements For the Degree of Doctor of Philosophy, Major: Mathematics, Under the Supervision of Srikanth B. Iyengar. Lincoln, Nebraska: December, 2010
Copyright 2010 Jesse Burke