Paper Search Console

Home Search Page About Contact

Journal Title

Title of Journal: Math Z

Search In Journal Title:

Abbravation: Mathematische Zeitschrift

Search In Journal Abbravation:

Publisher

Springer-Verlag

Search In Publisher:

DOI

10.1002/ldr.1047

Search In DOI:

ISSN

1432-1823

Search In ISSN:
Search In Title Of Papers:

Stein structures and holomorphic mappings

Authors: Franc Forstnerič Marko Slapar
Publish Date: 2007/01/06
Volume: 256, Issue: 3, Pages: 615-646
PDF Link

Abstract

We prove that every continuous map from a Stein manifold X to a complex manifold Y can be made holomorphic by a homotopic deformation of both the map and the Stein structure on X In the absence of topological obstructions the holomorphic map may be chosen to have pointwise maximal rank The analogous result holds for any compact Hausdorff family of maps but it fails in general for a noncompact family Our main results are actually proved for smooth almost complex source manifolds XJ with the correct handlebody structure The paper contains another proof of Eliashberg’s Int J Math 129–46 1990 homotopy characterization of Stein manifolds and a slightly different explanation of the construction of exotic Stein surfaces due to Gompf Ann Math 1482 619–693 1998 J Symplectic Geom 3565–587 2005

Keywords:

References

.
Search In Abstract Of Papers:
Other Papers In This Journal:
  1. On profinite groups in which commutators are covered by finitely many subgroups
  2. Stable reduction of curves and tame ramification
  3. Constant mean curvature graphs on exterior domains of the hyperbolic plane
  4. On weighted critical imbeddings of Sobolev spaces
  5. Mixed Hessian inequalities and uniqueness in the class $$\mathcal {E}(X,\omega ,m)$$
  6. Generalized Liouville differentiation, truncated hypersingular integrals and K -functionals
  7. Polynomial inequalities and universal Taylor series
  8. Computations of the orbifold Yamabe invariant
  9. Grušin operators, Riesz transforms and nilpotent Lie groups
  10. Real K 3 surfaces without real points, equivariant determinant of the Laplacian, and the Borcherds Φ-function
  11. Positive semidefinite diagonal minus tail forms are sums of squares
  12. On the measures of large entropy on a positive closed current
  13. Fano varieties in index one Fano complete intersections
  14. Families over special base manifolds and a conjecture of Campana
  15. On the holomorphic structure of G -orbits in compact hermitian symmetric spaces
  16. Derivations, the Lawrence–Sullivan interval and the Fiorenza–Manetti mapping cone
  17. On the geometry of model almost complex manifolds with boundary
  18. The eta invariant in the doubly Kählerian conformally compact Einstein case
  19. Injectivity radius and diameter of the manifolds of flags in the projective planes
  20. On the invariant distributions of $$C^2$$ circle diffeomorphisms of irrational rotation number
  21. On Hörmander’s solution of the $$\bar{\partial }$$-equation. I
  22. Capillary surfaces in a convex cone
  23. Harmonic maps of finite uniton number into G 2
  24. On characteristic twists of multiple Dirichlet series associated to Siegel cusp forms
  25. On irregular binomial D -modules
  26. Self-similar solutions for the Schrödinger map equation
  27. Harmonicity of sections of sphere bundles
  28. Cluster categories of type $${\mathbb {A}}_\infty ^\infty $$ and triangulations of the infinite strip
  29. A lower bound on Seshadri constants of hyperplane bundles on threefolds
  30. Saturated fusion systems over $$\mathcal {A}_2$$-groups
  31. Collapsing sequences of solutions to the Ricci flow on 3-manifolds with almost nonnegative curvature
  32. On newforms for Kohnen plus spaces
  33. Cumulants in noncommutative probability theory I. Noncommutative exchangeability systems
  34. Finiteness of the basic intersection cohomology of a Killing foliation
  35. Distributional chaos for operators with full scrambled sets
  36. Packing dimension and Ahlfors regularity of porous sets in metric spaces
  37. Invariance de la Γ-dimension pour certaines familles kählériennes de dimension 3
  38. Effective formulas for the local Łojasiewicz exponent
  39. Actions of arithmetic groups on homology spheres and acyclic homology manifolds
  40. Divergence form operators in Reifenberg flat domains
  41. Restriction to symmetric subgroups of unitary representations of rank one semisimple Lie groups
Search Result: