Homological characterizations of quasi-complete intersections

Authors

Jason M. Lutz, University of Nebraska - LincolnFollow

Date of this Version

8-2016

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 Professors Luchezar L. Avramov and Srikanth B. Iyengar. Lincoln, Nebraska: August, 2016

Copyright © 2016 Jason M. Lutz

Abstract

Let R be a commutative ring, (f) an ideal of R, and E = K(f; R) the Koszul complex. We investigate the structure of the Tate construction T associated with E. In particular, we study the relationship between the homology of T, the quasi-complete intersection property of ideals, and the complete intersection property of (local) rings.

Advisers: Luchezar L. Avramov and Srikanth B. Iyengar