Steiner vector bundles on algebraic varieties
- Soares Correia Tavares, Helena
- Rosa María Miró-Roig Director
Defence university: Universitat de Barcelona
Fecha de defensa: 11 April 2008
- Laura Costa Farràs Chair
- José Manuel Gamboa Mutuberria Secretary
- Enrique Arrondo Committee member
- Pere Pascual Gainza Committee member
- Margarida Mendes Lopes Committee member
Type: Thesis
Abstract
We define Steiner vector bundles on algebraic varieties, generalising the well-known Steiner vector bundles on projective spaces, We characterise exceptional and simple general Steiner vector bundles and we prone the stability of exceptional Steiner vector bundles defined by a pair (Ox(-1), Ox), where x is a smooth projective hypersurface q degree d, 1¿d¿n-1. We give sufficient cohomological conditions for a vector bundle to be a Steiner vector bundle and we give complete cohomological characterisation of some bundles on a projective spaces and on the hyperquadric Qn c Pn+1