Local rings of embedding codepth 3. Examples

Lars Winther Christensen; Oana Veliche

doi:10.1007/s10468-012-9390-y

Local rings of embedding codepth 3. Examples

Lars Winther Christensen, Oana Veliche

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

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.

Original language	English
Pages (from-to)	121-135
Number of pages	15
Journal	Algebras and Representation Theory
Volume	17
Issue number	1
DOIs	https://doi.org/10.1007/s10468-012-9390-y
State	Published - Feb 2014

Keywords

Free resolution
Local ring
Tor algebra

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10.1007/s10468-012-9390-y

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title = "Local rings of embedding codepth 3. Examples",

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.",

keywords = "Free resolution, Local ring, Tor algebra",

author = "Christensen, {Lars Winther} and Oana Veliche",

note = "Funding Information: This research was partly supported by NSA grant H98230-11-0214 (L.W.C.).",

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AU - Veliche, Oana

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N2 - 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.

AB - 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.

KW - Free resolution

KW - Local ring

KW - Tor algebra

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U2 - 10.1007/s10468-012-9390-y

DO - 10.1007/s10468-012-9390-y

M3 - Article

AN - SCOPUS:84893749878

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Local rings of embedding codepth 3. Examples

Abstract

Keywords

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