Galois embedding of algebraic variety and its application to abelian surface

Hisao Yoshihara

Rendiconti del Seminario Matematico della Università di Padova (2007)

  • Volume: 117, page 69-85
  • ISSN: 0041-8994

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Yoshihara, Hisao. "Galois embedding of algebraic variety and its application to abelian surface." Rendiconti del Seminario Matematico della Università di Padova 117 (2007): 69-85. <http://eudml.org/doc/108716>.

@article{Yoshihara2007,
author = {Yoshihara, Hisao},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {very ample divisors; complete linear system; projection in projective space},
language = {eng},
pages = {69-85},
publisher = {Seminario Matematico of the University of Padua},
title = {Galois embedding of algebraic variety and its application to abelian surface},
url = {http://eudml.org/doc/108716},
volume = {117},
year = {2007},
}

TY - JOUR
AU - Yoshihara, Hisao
TI - Galois embedding of algebraic variety and its application to abelian surface
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2007
PB - Seminario Matematico of the University of Padua
VL - 117
SP - 69
EP - 85
LA - eng
KW - very ample divisors; complete linear system; projection in projective space
UR - http://eudml.org/doc/108716
ER -

References

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  1. [1] M. C. BELTRAMETTI - A. J. SOMMESE, Zero cycles - k-th order embeddings of smooth projective surfaces, in Problems in the theory of surfaces - their classification, Cortona, Italy, 1988, ed. by F. Catanese - C. Ciliberto, Sympos. Math., 32 (1992), pp. 33-48. Zbl0827.14029MR1273371
  2. [2] C. DUYAGUIT - H. YOSHIHARA, Galois lines for normal elliptic space curves, Algebra Colloquium, 12 (2005), pp. 205-212. Zbl1076.14036MR2127245
  3. [3] P. GRIFFITHS - J. HARRIS, Principles of Algebraic Geometry, Pure - Applied Mathematics, A Wiley-Interscience Publication, New York, 1978. Zbl0408.14001MR507725
  4. [4] J. HARRIS, Galois groups of enumerative problems, Duke Math. J., 46 (1979), pp. 685-724. Zbl0433.14040MR552521
  5. [5] J. KANEKO - S. TOKUNAGA - M. YOSHIDA, Complex crystallographic groups II, J. Math. Soc. Japan 34 (1982), pp. 595-605. Zbl0488.20039MR669270
  6. [6] H. LANGE - CH. BIRKENHAKE, Complex Abelian Varieties, Grundlehren der mathematischen Wissenschaften 302, Springer-Verlag. Zbl0779.14012MR2062673
  7. [7] M. NAMBA, Branched coverings - algebraic functions, Pitman Research Notes in Mathematics Series 161. Zbl0706.14017MR933557
  8. [8] G.P. PIROLA - E. SCHLESINGER, Monodromy of projective curves, J. Algebraic Geometry, 14 (2005), pp. 623-642. Zbl1084.14011MR2147355
  9. [9] I. REIDER, Vector bundles of rank 2 - linear systems on algebraic surfaces, Ann. of Math., 127 (1988), pp. 309-316. Zbl0663.14010MR932299
  10. [10] T. SHIODA - N. MITANI, Singular abelian surfaces - binary quadratic forms, Lecture Note in Mathematics, Springer-Verlarg 412 (1974), pp. 259-287. Zbl0302.14011MR382289
  11. [11] S. TOKUNAGA - M. YOSHIDA, Complex crystallographic groups I, J. Math. Soc. Japan, 34 (1982), pp. 581-593. Zbl0488.20038MR669269
  12. [12] H. YOSHIHARA, Quotients of abelian surface, Publ. RIMS, Kyoto Univ., 31 (1995), pp. 135-143. Zbl0852.14016MR1317527
  13. [13] H. YOSHIHARA, Function field theory of plane curves by dual curves, J. Algebra, 239 (2001), pp. 340-355. Zbl1064.14023MR1827887
  14. [14] H. YOSHIHARA, Galois points on quartic surfaces, J. Math. Soc. Japan, 53 (2001), pp. 731-743. Zbl1067.14510MR1828978
  15. [15] H. YOSHIHARA, Galois points for smooth hypersurfaces, J. Algebra, 264 (2003), pp. 520-534. Zbl1048.14025MR1981419
  16. [16] H. YOSHIHARA, Families of Galois closure curves for plane quartic curves, J. Math. Kyoto Univ., 43 (2003), pp. 651-659. Zbl1063.14035MR2028672
  17. [17] H. YOSHIHARA, Galois lines for space curves, to appear in Algebra Colloquium. Zbl1095.14030MR2233104

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