no. 5
Effective nonvanishing, effective global generation
Annales de l'Institut Fourier, Tome 48 (1998) no. 5, pp. 1359-1378.

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.

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.

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     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},
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     zbl = {0934.14002},
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     url = {http://www.numdam.org/articles/10.5802/aif.1658/}
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Cataldo, Mark Andrea A. de. Effective nonvanishing, effective global generation. Annales de l'Institut Fourier, Tome 48 (1998) no. 5, pp. 1359-1378. doi : 10.5802/aif.1658. http://www.numdam.org/articles/10.5802/aif.1658/

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