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math.AC2009★ 4 cited
Free resolutions over commutative Koszul algebras
Luchezar L. Avramov, Aldo Conca, Srikanth B. Iyengar
For R=Q/J with Q a commutative graded algebra over a field and J non-zero, we relate the slopes of the minimal resolutions of R over Q and of k=R/R_{+} over R. When Q and R are Kos…
math.AC2009★ 2 cited
Koszul algebras and Gröbner bases of quadrics
Aldo Conca
We 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.