Work

Truncated Modules and Linear Presentations of Vector Bundles

Year: 2017

Type: article

Abstract: 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.

Source: International Mathematics Research Notices

DOI: 10.1093/imrn/rnx032

Authors: Ada Boralevi, Daniele Faenzi, Paolo Lella

Institutions: Politecnico di Torino, Centre National de la Recherche Scientifique, Université de Bourgogne, Institut de Mathématiques de Bourgogne, Istituto Nazionale di Alta Matematica Francesco Severi, University of Turin

Language: English

Topic: Commutative Algebra and Its Applications

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Agence Nationale de la Recherche, Nederlandse Organisatie voor Wetenschappelijk Onderzoek, Ministero dell’Istruzione, dell’Università e della Ricerca, Università degli Studi di Trieste, Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni

Awards: G2212883740, Intégration & Développement de l'Initiative pour le SITE Bourgogne Franche-Comté, G307671218, G3653413569, G385539970, G395809347, GEOmetry and algebra of Linear Matrix Inequalities with control applications, G6681813686

OpenAlex ID: W348304332

FWCI: 0.451

Cites: 34

Cited by: 6

Related to: 10