Let E be an ample and spanned vector bundle of rank r \geq 2 on a smooth complex propjective surface X and set L = \det E. We show that K_X+L is spanned except for (X,E)=(P^2, O(1)^{\oplus 2}) and we describe all pairs (X,E) for which K_X+det E fais to be very ample.

Adjoint bundles of ample and spanned vector bundles on algebraic surfaces / A. Lanteri, H. Maeda. - In: JOURNAL FÜR DIE REINE UND ANGEWANDTE MATHEMATIK. - ISSN 0075-4102. - 1992:433(1992), pp. 181-199. [10.1515/crll.1992.433.181]

Adjoint bundles of ample and spanned vector bundles on algebraic surfaces

A. Lanteri
Primo
;
1992

Abstract

Let E be an ample and spanned vector bundle of rank r \geq 2 on a smooth complex propjective surface X and set L = \det E. We show that K_X+L is spanned except for (X,E)=(P^2, O(1)^{\oplus 2}) and we describe all pairs (X,E) for which K_X+det E fais to be very ample.
projective algebraic surface; ample and spanned vector bundle; adjunction theory; Reider's theorem; classification
Settore MAT/03 - Geometria
1992
Article (author)
File in questo prodotto:
File Dimensione Formato  
1991-12.pdf

accesso riservato

Tipologia: Publisher's version/PDF
Dimensione 330.27 kB
Formato Adobe PDF
330.27 kB Adobe PDF   Visualizza/Apri   Richiedi una copia
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/2434/186505
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 14
  • ???jsp.display-item.citation.isi??? 16
social impact