Noncomplete linear systems on elliptic curves and Abelian varieties: Addendum to a paper by Ch. Birkenhake

Ballico, E.

doi:10.1090/S0002-9939-98-04564-X

Noncomplete linear systems on elliptic curves and Abelian varieties: Addendum to a paper by Ch. Birkenhake
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Proc. Amer. Math. Soc. 126 (1998), 2855-2856 Request permission

Abstract:

Here we give a result on the postulation (i.e. the 2-normality) of nonlinearly normal embeddings of Abelian varieties. This result improves some of the results proved in a recent paper by Ch. Birkenhake.

References

Edoardo Ballico and Philippe Ellia, Sur la postulation des courbes de $\textbf {P}^{n}$ et de leurs projections, C. R. Acad. Sci. Paris Sér. I Math. 299 (1984), no. 7, 237–240 (French, with English summary). MR 762729
E. Ballico and Ph. Ellia, On the postulation of a general projection of a curve in $\textbf {P}^3$, Ann. Mat. Pura Appl. (4) 142 (1985), 15–48 (1986). MR 839029, DOI 10.1007/BF01766585
E. Ballico and Ph. Ellia, On the postulation of a general projection of a curve in $\textbf {P}^N$, $N\geq 4$, Ann. Mat. Pura Appl. (4) 147 (1987), 267–301. MR 916712, DOI 10.1007/BF01762421
E. Ballico and Ph. Ellia, On projections of ruled and Veronese surfaces, J. Algebra 121 (1989), no. 2, 477–487. MR 992777, DOI 10.1016/0021-8693(89)90078-1
Christina Birkenhake, Linear systems on projective spaces, Manuscripta Math. 88 (1995), no. 2, 177–184. MR 1354104, DOI 10.1007/BF02567815
Christina Birkenhake, Noncomplete linear systems on abelian varieties, Trans. Amer. Math. Soc. 348 (1996), no. 5, 1885–1908. MR 1340170, DOI 10.1090/S0002-9947-96-01570-X
Ch. Birkenhake, Nicht volloëindige Liniarsysteme, Habilitaitionsschrift, Erlangen, 1994.