Jumping pairs of Steiner bundles

In this work we introduce the definition of Schwarzenberger bundle on a Grassmannian. Recalling the notion of Steiner bundle, we generalize the concept of jumping pair for a Steiner bundle on a Grassmannian. After studying the jumping locus variety and bounding its dimension, we give a complete clas...

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Detalles Bibliográficos
Autores: Arrondo Esteban, Enrique, Marchesi, Simone
Tipo de recurso: artículo
Fecha de publicación:2015
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/34977
Acceso en línea:https://hdl.handle.net/20.500.14352/34977
Access Level:acceso abierto
Palabra clave:512.7
Steiner bundle
Schwarzenberger bundle
Grassmannian
Geometria algebraica
1201.01 Geometría Algebraica
Descripción
Sumario:In this work we introduce the definition of Schwarzenberger bundle on a Grassmannian. Recalling the notion of Steiner bundle, we generalize the concept of jumping pair for a Steiner bundle on a Grassmannian. After studying the jumping locus variety and bounding its dimension, we give a complete classification of Steiner bundles with jumping locus of maximal dimension, which all are Schwarzenberger bundles