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Projective normality of abelian surfaces of type (1, 2d)

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We show that an abelian surface embedded in PN by a very ample line bundle of type (1,2d) is projectively normal if and only if d≥4. This completes the study of the projective normality of abelian surfaces embedded by complete linear systems.

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  1. Universidad de A Coruna, ETSI de Caminos, Canales y Puestos, Campus de Elvina, 15192, A Coruna, Spain

    Luis Fuentes García

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  1. Luis Fuentes García
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Supported by EAGER.

Mathematics Subject Classification (2000): Primary, 14K05; Secondary, 14N05, 14E20

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García, L. Projective normality of abelian surfaces of type (1, 2d). manuscripta math. 114, 385–390 (2004). https://doi.org/10.1007/s00229-004-0466-9

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  • DOI: https://doi.org/10.1007/s00229-004-0466-9

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