Degeneracy of entire curves in log surfaces with q ¯ = 2

Jörg Winkelmann[1]

  • [1] Rhur-Universität Bochum Mathematisches Institut Lehrstuhl Analysis II NA 4/73 44780 Bochum (Germany)

Annales de l’institut Fourier (2011)

  • Volume: 61, Issue: 4, page 1517-1537
  • ISSN: 0373-0956

Abstract

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We determine which algebraic surface of logarithmic irregularity  2 admit an algebraically non-degenerate entire curve.

How to cite

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Winkelmann, Jörg. "Degeneracy of entire curves in log surfaces with $\bar{q}=2$." Annales de l’institut Fourier 61.4 (2011): 1517-1537. <http://eudml.org/doc/219829>.

@article{Winkelmann2011,
abstract = {We determine which algebraic surface of logarithmic irregularity $2$ admit an algebraically non-degenerate entire curve.},
affiliation = {Rhur-Universität Bochum Mathematisches Institut Lehrstuhl Analysis II NA 4/73 44780 Bochum (Germany)},
author = {Winkelmann, Jörg},
journal = {Annales de l’institut Fourier},
keywords = {Entire curve; holomorphic map; logarithmic irregularity; complex surface; entire curve; algebraic suface},
language = {eng},
number = {4},
pages = {1517-1537},
publisher = {Association des Annales de l’institut Fourier},
title = {Degeneracy of entire curves in log surfaces with $\bar\{q\}=2$},
url = {http://eudml.org/doc/219829},
volume = {61},
year = {2011},
}

TY - JOUR
AU - Winkelmann, Jörg
TI - Degeneracy of entire curves in log surfaces with $\bar{q}=2$
JO - Annales de l’institut Fourier
PY - 2011
PB - Association des Annales de l’institut Fourier
VL - 61
IS - 4
SP - 1517
EP - 1537
AB - We determine which algebraic surface of logarithmic irregularity $2$ admit an algebraically non-degenerate entire curve.
LA - eng
KW - Entire curve; holomorphic map; logarithmic irregularity; complex surface; entire curve; algebraic suface
UR - http://eudml.org/doc/219829
ER -

References

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  11. Junjiro Noguchi, Jörg Winkelmann, Katsutoshi Yamanoi, The second main theorem for holomorphic curves into semi-abelian varieties. II, Forum Math. 20 (2008), 469-503 Zbl1145.32009MR2418202
  12. Paul Vojta, Diophantine approximations and value distribution theory, 1239 (1987), Springer-Verlag, Berlin Zbl0609.14011MR883451
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  14. Paul Vojta, Integral points on subvarieties of semiabelian varieties. II, Amer. J. Math. 121 (1999), 283-313 Zbl1018.11027MR1680329
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  16. Jörg Winkelmann, On Brody and entire curves, Bull. Soc. Math. France 135 (2007), 25-46 Zbl1159.32015MR2430197

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