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- W2896581025 abstract "Let $kk$ be a field, $R$ a standard graded quadratic $kk$-algebra with $dim_{kk}R_2le 3$, and let $ovkk$ denote an algebraic closure of $kk$. We construct a graded surjective Golod homomorphism $varphi colon Pto Rotimes_{kk}ov{kk}$ 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 standard graded $kk$-algebra with Hilbert series $(1+2t-2t^3)(1-t)^{-1}$. In particular, we recover earlier results on the Koszul property of Backelin, Conca and D'Ali." @default.
- W2896581025 created "2018-10-26" @default.
- W2896581025 creator A5051466381 @default.
- W2896581025 creator A5072492184 @default.
- W2896581025 date "2018-10-13" @default.
- W2896581025 modified "2023-09-27" @default.
- W2896581025 title "The absolutely Koszul and Backelin-Roos properties for spaces of quadrics of small codimension." @default.
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- W2896581025 hasPublicationYear "2018" @default.
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