Truncated modules and linear presentations of vector bundles

Ada Boralevi (1) , Daniele Faenzi (2) , Paolo Lella (3)

1 Dipartimento di Scienze Matematiche
2 IMB - Institut de Mathématiques de Bourgogne [Dijon]
3 Dipartimento di Matematica "Giuseppe Peano" [Torino]

We give a new method to construct linear spaces of matrices of constant rank, based on truncated graded cohomology modules of certain vector bundles as well as on the existence of graded Artinian modules with pure resolutions. Our method allows one to produce several new examples and provides an alternative point of view on the existing ones.

Mots clés: Instanton bundle; Graded truncated module; Linear presentation; Matrix of co nstant rank; Vector bundle

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

Ada Boralevi, Daniele Faenzi, Paolo Lella. Truncated modules and linear presentations of vector bundles. International Mathematics Research Notices, 2018, 17, pp.5347-5377. ⟨10.1093/imrn/rnx032⟩. ⟨hal-01699461⟩