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Projective normality of abelian varieties with a line bundle of type 2 ,

Elena Rubei (1998)

Bollettino dell'Unione Matematica Italiana

Sia X una varietà abeliana e L un fibrato in rette ampio di tipo 2 , 2 d 2 , , 2 d g su X ; sia φ L l'applicazione associata a L . In questo lavoro si dimostra il seguente fatto: se d i 2 per qualsiasi i , L non è mai normalmente generato (quindi, se φ L è un embedding, φ L X non è proiettivamente normale); negli altri casi invece L è normalmente generato per X , c 1 L generico nello spazio dei moduli delle varietà abeliane polarizzate di tipo 2 , 2 d 2 , , 2 d g .

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