2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/223283We present results, both old and new, concerning Koszul and G-quadratic properties of algebras associated with points, curves, cubics and spaces of quadrics of low codimension.Extended abstract of a talk given at 29th Symposium on Commutative Algebra at Nagoya (2007), the Proceedings of the conference can be downloaded at http://www.math.nagoya-u.ac.jp/~hasimoto/commalg-proc2.htmlCommutative AlgebraAlgebraic Geometry13Pxx, 13DxxKoszul algebras and Gröbner bases of quadricstext