- Library Home /
- Search Collections /
- Open Collections /
- Browse Collections /
- BIRS Workshop Lecture Videos /
- The absolutely Koszul and Backelin-Roos properties...
Open Collections
BIRS Workshop Lecture Videos
BIRS Workshop Lecture Videos
The absolutely Koszul and Backelin-Roos properties for spaces of quadrics of small codimension Sega, Liana
Description
Let $k$ be a field and let $R$ be a quadratic standard graded $k$-algebra with $\dim_{k}R_2\le 3$. We construct a graded surjective Golod homomorphism $\varphi \colon P\to R$ such that $P$ is a complete intersection of codimension at most $3$. Furthermore, we show that $R$ is absolutely Koszul (that is, every finitely generated $R$-module has finite linearity defect) if and only if $R$ is Koszul if and only if $R$ is not a trivial fiber extension of a non-Koszul and non-Artinian quadratic algebra of embedding dimension $3$. In particular, we recover earlier results on the Koszul property of Backelin, Conca and D'Al\`i. This is joint work with R. Maleki.
Item Metadata
Title |
The absolutely Koszul and Backelin-Roos properties for spaces of quadrics of small codimension
|
Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
|
Date Issued |
2018-06-26T17:29
|
Description |
Let $k$ be a field and let $R$ be a quadratic standard graded $k$-algebra with $\dim_{k}R_2\le 3$. We construct a graded surjective Golod homomorphism $\varphi \colon P\to R$ such that $P$ is a complete intersection of codimension at most $3$. Furthermore, we show that $R$ is absolutely Koszul (that is, every finitely generated $R$-module has finite linearity defect) if and only if $R$ is Koszul if and only if $R$ is not a trivial fiber extension of a non-Koszul and non-Artinian quadratic algebra of embedding dimension $3$. In particular, we recover earlier results on the Koszul property of Backelin, Conca and D'Al\`i. This is joint work with R. Maleki.
|
Extent |
32.0
|
Subject | |
Type | |
File Format |
video/mp4
|
Language |
eng
|
Notes |
Author affiliation: University of Missouri (Kansas City)
|
Series | |
Date Available |
2019-03-23
|
Provider |
Vancouver : University of British Columbia Library
|
Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
|
DOI |
10.14288/1.0377342
|
URI | |
Affiliation | |
Peer Review Status |
Unreviewed
|
Scholarly Level |
Researcher
|
Rights URI | |
Aggregated Source Repository |
DSpace
|
Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International