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Quasiprojective varieties admitting Zariski dense entire holomorphic curves

  • Steven S. Y. Lu EMAIL logo und Jörg Winkelmann
Veröffentlicht/Copyright: 25. Februar 2012
Forum Mathematicum
Aus der Zeitschrift Band 24 Heft 2

Abstract.

Let X be a complex quasiprojective variety. A result of Noguchi–Winkelmann–Yamanoi shows that if X admits a Zariski dense entire curve, then its quasi-Albanese map is a fiber space. We show that the orbifold structure induced by a proper birationally equivalent map on the base is special in this case. As a consequence, if X is of log-general type with q(X)dimX, then any entire curve is contained in a proper subvariety in X.

Keywords.: Entire curve; special variety; quasiprojective variety
Received: 2009-07-15
Revised: 2010-05-04
Published Online: 2012-02-25
Published in Print: 2012-March

© 2012 by Walter de Gruyter Berlin Boston

Artikel in diesem Heft

  1. Masthead
  2. Uniform weighted estimates for oscillatory singular integrals
  3. Solutions of the linear Boltzmann equation and some Dirichlet series
  4. Confluence and combinatorics in finitely generated unital lattice-ordered abelian groups
  5. Periodic flat resolutions and periodicity in group (co)homology
  6. Precompact noncompact reflexive Abelian groups
  7. Free profinite p-rings
  8. Cellular covers for R-modules and varieties of groups
  9. Time changes of local Dirichlet spaces by energy measures of harmonic functions
  10. A construction of a universal connection
  11. Finitely generated algebraic structures with various divisibility conditions
  12. Quasiprojective varieties admitting Zariski dense entire holomorphic curves
  13. Conservativeness of non-symmetric diffusion processes generated by perturbed divergence forms
https://doi.org/10.1515/form.2011.069
Schlagwörter für diesen Artikel
Entire curve; special variety; quasiprojective variety

Artikel in diesem Heft

  1. Masthead
  2. Uniform weighted estimates for oscillatory singular integrals
  3. Solutions of the linear Boltzmann equation and some Dirichlet series
  4. Confluence and combinatorics in finitely generated unital lattice-ordered abelian groups
  5. Periodic flat resolutions and periodicity in group (co)homology
  6. Precompact noncompact reflexive Abelian groups
  7. Free profinite p-rings
  8. Cellular covers for R-modules and varieties of groups
  9. Time changes of local Dirichlet spaces by energy measures of harmonic functions
  10. A construction of a universal connection
  11. Finitely generated algebraic structures with various divisibility conditions
  12. Quasiprojective varieties admitting Zariski dense entire holomorphic curves
  13. Conservativeness of non-symmetric diffusion processes generated by perturbed divergence forms
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