On k -very ampleness of tensor products of ample line bundles on abelian surfaces

Yoshiaki Fukuma

Rendiconti del Seminario Matematico della Università di Padova (1999)

  • Volume: 101, page 209-227
  • ISSN: 0041-8994

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Fukuma, Yoshiaki. "On $k$-very ampleness of tensor products of ample line bundles on abelian surfaces." Rendiconti del Seminario Matematico della Università di Padova 101 (1999): 209-227. <http://eudml.org/doc/108487>.

@article{Fukuma1999,
author = {Fukuma, Yoshiaki},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {very ampleness; polarized abelian surfaces},
language = {eng},
pages = {209-227},
publisher = {Seminario Matematico of the University of Padua},
title = {On $k$-very ampleness of tensor products of ample line bundles on abelian surfaces},
url = {http://eudml.org/doc/108487},
volume = {101},
year = {1999},
}

TY - JOUR
AU - Fukuma, Yoshiaki
TI - On $k$-very ampleness of tensor products of ample line bundles on abelian surfaces
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1999
PB - Seminario Matematico of the University of Padua
VL - 101
SP - 209
EP - 227
LA - eng
KW - very ampleness; polarized abelian surfaces
UR - http://eudml.org/doc/108487
ER -

References

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  1. [BaSz1] TH. Bauer - T. Szemberg, On tensor products of ample line bundles on abelian varieties, Math. Z., 223 (1996), pp. 79-85. Zbl0863.14009MR1408863
  2. [BaSz2] TH. Bauer - T. Szemberg, Higher order embeddings of abelian varieties, Math. Z., 224 (1997), pp. 449-455. Zbl0897.14011MR1439201
  3. [BeLP] M.C. Beltrametti - A. Lanteri - M. Palleschi, Algebraic surfaces containing an ample divisor of arithmetic genus two, Ark. Mat., 25 (1987) pp. 189-210. Zbl0645.14015MR923406
  4. [BeSo] M.C. Beltrametti - A.J. Sommese, The adjunction theory of complex projective varieties, de Gruyter Expositions in Math., 16, Walter de Gruyter, Berlin, New York (1995). Zbl0845.14003MR1318687
  5. [Fj] T. Fujita, Classification of polarized manifolds of sectional genus two, the Proceedings of «Algebraic Geometry and Commutative Algebra» in Honor of Masayoshi Nagata (1987), pp. 73-98. Zbl0695.14019MR977755
  6. [Fk] Y. Fukuma, On d-very ample line bundles on abelian surfaces, preprint. 
  7. [Ha] R. Hartshorne, Algebraic Geometry, Graduate Texts in Math, vol. 52, Springer-Verlag (1977). Zbl0367.14001MR463157
  8. [LB] H. Lange - CH. Birkenhake, Complex Abelian Varieties, Grundlehren der mathematischen Wissenschaften, 302, Springer-Verlag (1992). Zbl0779.14012MR1217487
  9. [O] A. Ohbuchi, Some remarks on ample line bundles on abelian varieties, Manuscripta Math., 57 (1987) pp. 225-238. Zbl0595.14013MR871633
  10. [OoU] F. Oort - K. Ueno, Principally polarized abelian varieties of dimension two or three are Jacobian varieties, J. Fac. Sci. Univ. Tokyo, 20 (1973), pp. 377-381. Zbl0272.14008MR364265
  11. [Te] H. Terakawa, The k-very ampleness and k-spannedness on polarized abelian surfaces, to appear in Math. Nachr. Zbl0957.14009MR1654705

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