Resolution of the symmetric algebra of an (n+1)-generated ideal of depth n

Rémi Bignalet-Cazalet (1)

1 IMB - Institut de Mathématiques de Bourgogne [Dijon]

We provide a locally free resolution of the symmetric algebra of the ideal of an (n + 1)-generated ideal sheaf of depth n over a regular quasi-projective variety. The resolution is given in terms of the resolution of the ideal itself and of a Buchsbaum-Rim complex associated to an explicit map.

Domaines: Algèbre commutative [math.AC]; Géométrie algébrique [math.AG]

Rémi Bignalet-Cazalet. Resolution of the symmetric algebra of an (n+1)-generated ideal of depth n. 2019. ⟨hal-01787553v2⟩