Let X be a smooth projective surface over C and let L be a line bundle on X generated by its global sections. Let phi(L) : X -> P-r be the morphism associated to L; we investigate the mu-stability of phi(L)*T-Pr with respect to L when X is either a regular surface with p(g) = 0, a K3 surface or an abelian surface. In particular, we show that phi(L)*T-Pr is mu-stable when X is K3 and L is ample and when X is abelian and L-2 >= 14.

About the stability of the tangent bundle of P-n restricted to a surface / C. Camere. - In: MATHEMATISCHE ZEITSCHRIFT. - ISSN 0025-5874. - 271:1-2(2012), pp. 499-507.

About the stability of the tangent bundle of P-n restricted to a surface

C. Camere
2012

Abstract

Let X be a smooth projective surface over C and let L be a line bundle on X generated by its global sections. Let phi(L) : X -> P-r be the morphism associated to L; we investigate the mu-stability of phi(L)*T-Pr with respect to L when X is either a regular surface with p(g) = 0, a K3 surface or an abelian surface. In particular, we show that phi(L)*T-Pr is mu-stable when X is K3 and L is ample and when X is abelian and L-2 >= 14.
Tangent bundle; Stability; Exceptional bundle; Surface
Settore MAT/03 - Geometria
2012
Article (author)
File in questo prodotto:
File Dimensione Formato  
Camere2012_Article_AboutTheStabilityOfTheTangentB.pdf

accesso riservato

Tipologia: Publisher's version/PDF
Dimensione 198.92 kB
Formato Adobe PDF
198.92 kB Adobe PDF   Visualizza/Apri   Richiedi una copia
0906.1966.pdf

accesso aperto

Tipologia: Pre-print (manoscritto inviato all'editore)
Dimensione 147.45 kB
Formato Adobe PDF
147.45 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/2434/675670
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 11
  • ???jsp.display-item.citation.isi??? 10
social impact