Steiner vector bundles on algebraic varieties

• Autores: Helena Soares Correia Tavares
• Directores de la Tesis: Rosa María Miró-Roig (dir. tes.)
• Lectura: En la Universitat de Barcelona ( España ) en 2008
• Idioma: inglés
• Tribunal Calificador de la Tesis: Laura Costa Farràs (presid.), José Manuel Gamboa Mutuberria (secret.), Margarida Mendes Lopes (voc.), Enrique Arrondo (voc.), Pere Pascual Gainza (voc.)
• Materias:
  • Matemáticas
    • Álgebra
    • Geometría
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• Resumen

  • 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