Very ampleness of multiples of principal polarization on degenerate Abelian surfaces.

Arsie, Alessandro. "Very ampleness of multiples of principal polarization on degenerate Abelian surfaces.." Revista Matemática Complutense 18.1 (2005): 119-141. <http://eudml.org/doc/44539>.

@article{Arsie2005,
abstract = {Quite recently, Alexeev and Nakamura proved that if Y is a stable semi-Abelic variety (SSAV) of dimension g equipped with the ample line bundle OY(1), which deforms to a principally polarized Abelian variety, then OY(n) is very ample as soon as n ≥ 2g + 1, that is n ≥ 5 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 n ≥ 3. },
author = {Arsie, Alessandro},
journal = {Revista Matemática Complutense},
keywords = {Variedades proyectivas; Variedades abelianas; Superficies algebroides; special projective embeddings},
language = {eng},
number = {1},
pages = {119-141},
title = {Very ampleness of multiples of principal polarization on degenerate Abelian surfaces.},
url = {http://eudml.org/doc/44539},
volume = {18},
year = {2005},
}

TY - JOUR
AU - Arsie, Alessandro
TI - Very ampleness of multiples of principal polarization on degenerate Abelian surfaces.
JO - Revista Matemática Complutense
PY - 2005
VL - 18
IS - 1
SP - 119
EP - 141
AB - Quite recently, Alexeev and Nakamura proved that if Y is a stable semi-Abelic variety (SSAV) of dimension g equipped with the ample line bundle OY(1), which deforms to a principally polarized Abelian variety, then OY(n) is very ample as soon as n ≥ 2g + 1, that is n ≥ 5 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 n ≥ 3.
LA - eng
KW - Variedades proyectivas; Variedades abelianas; Superficies algebroides; special projective embeddings
UR - http://eudml.org/doc/44539
ER -