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

Author(s): E. Ballico
Journal: Proc. Amer. Math. Soc. 126 (1998), 2855-2856.
MSC (1991): Primary 14C20, 14H52, 14K05
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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:

[BE1]
E. Ballico, Ph. Ellia, Sur la postulation des courbes de $\mathbf{P}^n$ et de leurs projections, C. R. Acad. Sc. Paris 299 (1984), 237-240. MR 86a:14029
[BE2]
E. Ballico, Ph. Ellia, On the projection of a general curve in $\mathbf{P}^3$, Annali Mat. Pura e Applicata (4) 142 (1985), 15-48. MR 87g:14026
[BE3]
E. Ballico, Ph. Ellia, On the postulation of a general projection of a curve in $\mathbf{P}^N$, $N\geq 4$, Annali Mat. Pura e Applicata (4) 147 (1987), 267-301. MR 88i:14026
[BE4]
E. Ballico, Ph. Ellia, On projections of ruled and Veronese surfaces, J. of Algebra 121 (1989), 477-487. MR 90f:14016
[Bi1]
Ch. Birkenhake, Linear systems on projective spaces, Manuscripta Math. 88 (1995), 177-184. MR 96h:14003
[Bi2]
Ch. Birkenhake, Noncomplete linear systems on abelian varieties, Trans. Amer. Math. Soc. 348 (1995), 1885-1908. MR 97a:14005
[Bi3]
Ch. Birkenhake, Nicht volloëindige Liniarsysteme, Habilitaitionsschrift, Erlangen, 1994.

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Additional Information:

E. Ballico
Affiliation: Department of Mathematics, University of Trento, 38050 Povo (TN), Italy
Email: ballico@science.unitn.it

DOI: 10.1090/S0002-9939-98-04564-X
PII: S 0002-9939(98)04564-X
Received by editor(s): March 18, 1997
Additional Notes: The author was partially supported by MURST and GNSAGA of CNR (Italy)
Communicated by: Ron Donagi
Copyright of article: Copyright 1998, American Mathematical Society

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