Full paper in PDF:
$% A. Arsie, Very ampleness of multiples of principal polarization on
degenerate Abelian
surfaces, Rev. Mat. Complut. 18 (2005), no. 1, 119–141.%$
Very Ampleness of Multiples of Principal Polarization on Degenerate Abelian Surfaces
Quite recently, Alexeev and Nakamura proved that if is a stable semi-Abelic variety (SSAV) of dimension equipped with the ample line bundle , which deforms to a principally polarized Abelian variety, then is very ample as soon as , that is in the case of surfaces. Here it is proved, via elementary methods of projective geometry, that in the case of surfaces this bound can be improved to .
Key words: very ampleness, degenerate Abelian surface, principal polarization, special
projective embeddings.
2000 Mathematics Subject Classification: 14K10; 14J25, 14N05.