Homological algebra on a complete intersection, with an application to group representations
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- by David Eisenbud PDF
- Trans. Amer. Math. Soc. 260 (1980), 35-64 Request permission
Abstract:
Let R be a regular local ring, and let $A = R/(x)$, where x is any nonunit of R. We prove that every minimal free resolution of a finitely generated A-module becomes periodic of period 1 or 2 after at most $\operatorname {dim} A$ steps, and we examine generalizations and extensions of this for complete intersections. Our theorems follow from the properties of certain universally defined endomorphisms of complexes over such rings.References
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Additional Information
- © Copyright 1980 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 260 (1980), 35-64
- MSC: Primary 13D25; Secondary 13H10, 14M10, 18G10, 20C20
- DOI: https://doi.org/10.1090/S0002-9947-1980-0570778-7
- MathSciNet review: 570778