The absolutely Koszul and Backelin-Roos properties for spaces of quadrics of small codimension

Rasoul Ahangari Maleki, Liana M. Şega

Let $\kk$ be a field, $R$ a standard graded quadratic $\kk$-algebra with $\dim_{\kk}R_2\le 3$, and let $\ov\kk$ denote an algebraic closure of $\kk$. We construct a graded surjecti…