2012/03/08 by Giulio Caviglia, Caviglia, Giulio, Aldo Conca +1
Mathematics · #13D02 #14M99 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #math.AG #msc:13D02 #msc:14M99
paper · pdf · doi:10.48550/arxiv.1203.1949
Minor revision, few typos corrected. To appear in Adv. in Math
arxiv created 2012/11/19 · arxiv updated 2012/11/20
Let V be the Veronese cubic surface in P9. We classify the projections of V to P8 whose coordinate rings are Koszul. In particular we obtain a purely theoretical proof of the Koszulness of the pinched Veronese, a result obtained originally by Caviglia using filtrations, deformations and computer assisted computations. To this purpose we extend, to certain complete intersections, results of Conca, Herzog, Trung and Valla concerning homological properties of diagonal algebras.