Local rings of embedding codepth 3. Examples

Published 19 Sep 2012 in math.AC and math.KT | (1209.4256v2)

Abstract: A complete local ring of embedding codepth 3 has a minimal free resolution of length 3 over a regular local ring. Such resolutions carry a differential graded algebra structure, based on which one can classify local rings of embedding codepth 3. We give examples of algebra structures that have been conjectured not to occur.

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