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Variazioni sul tema classico delle sezioni iperellittiche

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Si delineano alcuni recenti risultati sulla mappa di aggiunzione e sulla classificazione delle superfici algebriche proiettive che ammettono sezioni iperpiane iperellittiche. Si fornisce quindi un’applicazione allo studio dei fibrati vettoriali ampi su una superficie e si discutono varie generalizzazioni.

Summary

Recent results by Sommese and Van de Ven on the adjunction mapping are outlined together with their application to algebraic surfaces with hyperelliptic hyperplane sections. An application to the classification of ample vector bundles with small top Chern class on a surface is given. Finally, various generalizations of the classical subject of hyperelliptic sections are discussed.

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  1. dell’Università di Milano, Milano, Italia

    Antonio Lanteri

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  1. Antonio Lanteri
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(Conferenza tenuta il 27 novembre 1987)

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Lanteri, A. Variazioni sul tema classico delle sezioni iperellittiche. Seminario Mat. e. Fis. di Milano 57, 533–547 (1987). https://doi.org/10.1007/BF02925070

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