Let M be a very ample line bundle on a smooth complex projective variety Y and let \varphi_M: Y -->P(H^{0}(Y, M)*) be the map associated to M; we are concerned with the problem to see whether the syzygies of \varphi_M (Y) give information on the syzygies of \varphi_{M^s} (Y). In particular we prove that if Y is a smooth complex projective variety and M is a line bundle on Y satisfying Property N_p, then M^s satisfies Property N_p if s >= p.

A note on Property N_p / E. Rubei. - In: MANUSCRIPTA MATHEMATICA. - ISSN 0025-2611. - STAMPA. - 101:(2000), pp. 449-455. [10.1007/s002290050226]

A note on Property N_p

RUBEI, ELENA
2000

Abstract

Let M be a very ample line bundle on a smooth complex projective variety Y and let \varphi_M: Y -->P(H^{0}(Y, M)*) be the map associated to M; we are concerned with the problem to see whether the syzygies of \varphi_M (Y) give information on the syzygies of \varphi_{M^s} (Y). In particular we prove that if Y is a smooth complex projective variety and M is a line bundle on Y satisfying Property N_p, then M^s satisfies Property N_p if s >= p.
2000
101
449
455
E. Rubei
File in questo prodotto:
File Dimensione Formato  
manuscriptanoteNp.pdf

Accesso chiuso

Tipologia: Versione finale referata (Postprint, Accepted manuscript)
Licenza: Tutti i diritti riservati
Dimensione 53.3 kB
Formato Adobe PDF
53.3 kB Adobe PDF   Richiedi una copia

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

Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/255594
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 6
  • ???jsp.display-item.citation.isi??? 5
social impact