Deformation of holomorphic maps onto the blow-up of the projective plane

Jun-Muk Hwang[1]

  • [1] Korea Institute for Advanced Study, 207-43 Cheongryangri-dong, Séoul 130-012 (Corée Sud)

Annales scientifiques de l'École Normale Supérieure (2007)

  • Volume: 40, Issue: 1, page 179-189
  • ISSN: 0012-9593

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Hwang, Jun-Muk. "Deformation of holomorphic maps onto the blow-up of the projective plane." Annales scientifiques de l'École Normale Supérieure 40.1 (2007): 179-189. <http://eudml.org/doc/82708>.

@article{Hwang2007,
affiliation = {Korea Institute for Advanced Study, 207-43 Cheongryangri-dong, Séoul 130-012 (Corée Sud)},
author = {Hwang, Jun-Muk},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {deformation of holomorphic maps; blowing-up},
language = {eng},
number = {1},
pages = {179-189},
publisher = {Elsevier},
title = {Deformation of holomorphic maps onto the blow-up of the projective plane},
url = {http://eudml.org/doc/82708},
volume = {40},
year = {2007},
}

TY - JOUR
AU - Hwang, Jun-Muk
TI - Deformation of holomorphic maps onto the blow-up of the projective plane
JO - Annales scientifiques de l'École Normale Supérieure
PY - 2007
PB - Elsevier
VL - 40
IS - 1
SP - 179
EP - 189
LA - eng
KW - deformation of holomorphic maps; blowing-up
UR - http://eudml.org/doc/82708
ER -

References

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  1. [1] Dubrovin B.A., Fomenko A.T., Novikov S.P., Modern Geometry I, Grad. Texts in Math., vol. 93, Springer-Verlag, Berlin/New York, 1984. 
  2. [2] Griffiths P., Harris J., Principles of Algebraic Geometry, John Wiley and Sons, New York, 1978. Zbl0408.14001MR507725
  3. [3] Hénaut A., Analytic web geometry, in: Web Theory and Related Topics, Toulouse, 1996, World Sci. Publishing, River Edge, NJ, 2001, pp. 6-47. Zbl1011.53013MR1837882
  4. [4] Horikawa E., On deformations of holomorphic maps I, J. Math. Soc. Japan25 (1973) 372-396. Zbl0254.32022MR322209
  5. [5] Hwang J.-M., Rigidity of surjective holomorphic maps to Calabi–Yau manifolds, Math. Zeit.249 (2005) 767-772. Zbl1070.32018
  6. [6] Hwang J.-M., Deformation of holomorphic maps onto Fano manifolds of second and fourth Betti numbers 1, Ann. Inst. Fourier, submitted for publication. Zbl1126.32011
  7. [7] Hwang J.-M., Kebekus S., Peternell T., Holomorphic maps onto varieties of non-negative Kodaira dimension, J. Alg. Geom.15 (2006) 551-561. Zbl1112.14014MR2219848
  8. [8] Hwang J.-M., Mok N., Finite morphisms onto Fano manifolds of Picard number 1 which have rational curves with trivial normal bundles, J. Alg. Geom.12 (2003) 627-651. Zbl1038.14018MR1993759
  9. [9] Hwang J.-M., Mok N., Birationality of the tangent map for minimal rational curves, Asian J. Math.8 (2004) 51-64. Zbl1072.14015MR2128297

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