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.File in questo prodotto:
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