Koszul property of projections of the Veronese cubic surface

Details Koszul property of projections of the Veronese cubic surface Koszul property of projections of the Veronese cubic surface

2012-03-08

arxiv.org/abs/1203.1949v1

Mathematics

Commutative Algebra

Scientific paper

Let V be the Veronese cubic surface in P^9. We classify the projections of V to P^8 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.

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