We prove a multiple-points higher-jets nonvanishing theorem by the use of local Seshadri constants. Applications are given to effectivity problems such as constructing rational and birational maps into Grassmannians, and the global generation of vector bundles.
On utilise les constantes de Seshadri locales pour donner un résultat de non annulation pour les jets d’ordre supérieur en plusieurs points. On en donne des applications à des problèmes d’effectivité en géométrie algébrique, comme la construction d’applications rationnelles et birationnelles dans les grassmanniennes et la génération globale des fibrés vectoriels.
@article{AIF_1998__48_5_1359_0, author = {Cataldo, Mark Andrea A. de}, title = {Effective nonvanishing, effective global generation}, journal = {Annales de l'Institut Fourier}, pages = {1359--1378}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {48}, number = {5}, year = {1998}, doi = {10.5802/aif.1658}, zbl = {0934.14002}, mrnumber = {99m:14007}, language = {en}, url = {https://aif.centre-mersenne.org/articles/10.5802/aif.1658/} }
TY - JOUR AU - Cataldo, Mark Andrea A. de TI - Effective nonvanishing, effective global generation JO - Annales de l'Institut Fourier PY - 1998 SP - 1359 EP - 1378 VL - 48 IS - 5 PB - Association des Annales de l’institut Fourier UR - https://aif.centre-mersenne.org/articles/10.5802/aif.1658/ DO - 10.5802/aif.1658 LA - en ID - AIF_1998__48_5_1359_0 ER -
%0 Journal Article %A Cataldo, Mark Andrea A. de %T Effective nonvanishing, effective global generation %J Annales de l'Institut Fourier %D 1998 %P 1359-1378 %V 48 %N 5 %I Association des Annales de l’institut Fourier %U https://aif.centre-mersenne.org/articles/10.5802/aif.1658/ %R 10.5802/aif.1658 %G en %F AIF_1998__48_5_1359_0
Cataldo, Mark Andrea A. de. Effective nonvanishing, effective global generation. Annales de l'Institut Fourier, Volume 48 (1998) no. 5, pp. 1359-1378. doi : 10.5802/aif.1658. https://aif.centre-mersenne.org/articles/10.5802/aif.1658/
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