In this work we will study Steiner and Schwarzenberger bundles on the grassmannians. In the first part we will define Steiner bundles on G(k,n), agreeing with the definition proposed by Miró-Roig and Soares for any projective variety. We will define then the concept of Schwarzenberger bundle for any rank on the grassmannian, which represents the generalization of the definition proposed by Arrondo. We will introduce the concept of jumping pair for a Steiner bundle and we will investigate the dimension of the jumping locus of the bundle. Finally, we will give a complete classification of Steiner bundles on the grassmannian whose jumping locus has maximal dimension and we will describe them as Schwarzenberger bundles.

Jumping spaces in Steiner Bundles / S. Marchesi ; tutor: E. Arrondo Esteban, A. Lanteri ; coordinatore: M. Peloso. Universita' degli Studi di Milano, 2012 Feb 20. 24. ciclo, Anno Accademico 2011. [10.13130/marchesi-simone_phd2012-02-20].

Jumping spaces in Steiner Bundles

S. Marchesi
2012

Abstract

In this work we will study Steiner and Schwarzenberger bundles on the grassmannians. In the first part we will define Steiner bundles on G(k,n), agreeing with the definition proposed by Miró-Roig and Soares for any projective variety. We will define then the concept of Schwarzenberger bundle for any rank on the grassmannian, which represents the generalization of the definition proposed by Arrondo. We will introduce the concept of jumping pair for a Steiner bundle and we will investigate the dimension of the jumping locus of the bundle. Finally, we will give a complete classification of Steiner bundles on the grassmannian whose jumping locus has maximal dimension and we will describe them as Schwarzenberger bundles.
20-feb-2012
Settore MAT/03 - Geometria
Steiner bundles ; Schwarzenberger bundles ; grassmannian ; jumping pair
LANTERI, ANTONIO
PELOSO, MARCO MARIA
Doctoral Thesis
Jumping spaces in Steiner Bundles / S. Marchesi ; tutor: E. Arrondo Esteban, A. Lanteri ; coordinatore: M. Peloso. Universita' degli Studi di Milano, 2012 Feb 20. 24. ciclo, Anno Accademico 2011. [10.13130/marchesi-simone_phd2012-02-20].
File in questo prodotto:
File Dimensione Formato  
phd_unimi_R08228.pdf

accesso aperto

Tipologia: Tesi di dottorato completa
Dimensione 612.31 kB
Formato Adobe PDF
612.31 kB Adobe PDF Visualizza/Apri
Pubblicazioni consigliate

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/170793
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact