caa a22 4500 467989060 CHVBK 20180323112540.0 cr unu---uuuuu 170328e19900301xx s 000 0 eng 10.1007/BF01298854 doi (NATIONALLICENCE)springer-10.1007/BF01298854 Lanteri Antonio Dipartimento di Matematica "F. Enriques” Università, Via C. Saldini, 50, I-20133, Milano, Italy aut Pluriadjoint bundles of polarized surfaces [Elektronische Daten] [Antonio Lanteri] LetX be a complex connected projective smooth algebraic surface and letL be an ample line bundle onX. The maps associated with the pluriadjoint bundles (K X ⊗L)⊗ 1,t≥2, are studied by combining an ampleness result forK X ⊗L with a very recent result by Reider. It turns out that apart from some exceptions and up to reductions, 1) (K X ⊗L)⊗3 is very ample; 2) (K X ⊗L)⊗ 2 is ample and spanned by global sections and is very ample unless eitherg (L)=2 (arithmetic genus ofL) orX contains an elliptic curveE withE 2=0,E·L=1;3) when (K X ⊗L)⊗ 2 is not very ample, the associated map has degree ≤4, equality implying thatg (L)=2 and $$X$$ . Springer-Verlag, 1990 Monatshefte für Mathematik Springer-Verlag 109/1(1990-03-01), 69-77 0026-9255 109:1<69 1990 109 605 https://doi.org/10.1007/BF01298854 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01298854 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Lanteri Antonio Dipartimento di Matematica "F. Enriques” Università, Via C. Saldini, 50, I-20133, Milano, Italy aut NATIONALLICENCE 773 0- Monatshefte für Mathematik Springer-Verlag 109/1(1990-03-01), 69-77 0026-9255 109:1<69 1990 109 605 Metadata rights reserved Springer special CC-BY-NC licence nationallicence SWISSBIB 131618075 BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer