Local rings of embedding codepth 3. Examples
classification
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math.KT
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localcodepthembeddingalgebraexamplesringringsbeen
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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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