In this note we show that, for any log-canonical pair , is -effective if its Chern class contains an effective -divisor. Then, we derive some direct corollaries.
Dans cette note nous montrons que le système linéaire adjoint associé à une paire log-canonique est non-vide dés que la classe de Chern de ce système contient un diviseur effectif dont les coefficients sont rationnels. Nous en déduisons quelques corollaires immédiats.
Keywords: Log-canonical pairs, adjoint systems, ramified coverings
Mot clés : paires log-canoniques, systèmes adjoints, recouvrement ramifié
@article{AIF_2012__62_1_107_0, author = {Campana, Fr\'ed\'eric and Koziarz, Vincent and P\u{a}un, Mihai}, title = {Numerical character of the effectivity of adjoint line bundles}, journal = {Annales de l'Institut Fourier}, pages = {107--119}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {62}, number = {1}, year = {2012}, doi = {10.5802/aif.2701}, zbl = {1250.14009}, mrnumber = {2986267}, language = {en}, url = {http://www.numdam.org/articles/10.5802/aif.2701/} }
TY - JOUR AU - Campana, Frédéric AU - Koziarz, Vincent AU - Păun, Mihai TI - Numerical character of the effectivity of adjoint line bundles JO - Annales de l'Institut Fourier PY - 2012 SP - 107 EP - 119 VL - 62 IS - 1 PB - Association des Annales de l’institut Fourier UR - http://www.numdam.org/articles/10.5802/aif.2701/ DO - 10.5802/aif.2701 LA - en ID - AIF_2012__62_1_107_0 ER -
%0 Journal Article %A Campana, Frédéric %A Koziarz, Vincent %A Păun, Mihai %T Numerical character of the effectivity of adjoint line bundles %J Annales de l'Institut Fourier %D 2012 %P 107-119 %V 62 %N 1 %I Association des Annales de l’institut Fourier %U http://www.numdam.org/articles/10.5802/aif.2701/ %R 10.5802/aif.2701 %G en %F AIF_2012__62_1_107_0
Campana, Frédéric; Koziarz, Vincent; Păun, Mihai. Numerical character of the effectivity of adjoint line bundles. Annales de l'Institut Fourier, Volume 62 (2012) no. 1, pp. 107-119. doi : 10.5802/aif.2701. http://www.numdam.org/articles/10.5802/aif.2701/
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