A theorem on complete intersection curves and a consequence for the runge problem for analytic sets

Antonio Cassa

Compositio Mathematica (1978)

  • Volume: 36, Issue: 2, page 189-202
  • ISSN: 0010-437X

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Cassa, Antonio. "A theorem on complete intersection curves and a consequence for the runge problem for analytic sets." Compositio Mathematica 36.2 (1978): 189-202. <http://eudml.org/doc/89365>.

@article{Cassa1978,
author = {Cassa, Antonio},
journal = {Compositio Mathematica},
keywords = {Oka Principle; Stein Complex Analytic Manifold; Stein Open Set; Runge Open Set; Complete Intersection Theorem; Runge Approximation},
language = {eng},
number = {2},
pages = {189-202},
publisher = {Sijthoff et Noordhoff International Publishers},
title = {A theorem on complete intersection curves and a consequence for the runge problem for analytic sets},
url = {http://eudml.org/doc/89365},
volume = {36},
year = {1978},
}

TY - JOUR
AU - Cassa, Antonio
TI - A theorem on complete intersection curves and a consequence for the runge problem for analytic sets
JO - Compositio Mathematica
PY - 1978
PB - Sijthoff et Noordhoff International Publishers
VL - 36
IS - 2
SP - 189
EP - 202
LA - eng
KW - Oka Principle; Stein Complex Analytic Manifold; Stein Open Set; Runge Open Set; Complete Intersection Theorem; Runge Approximation
UR - http://eudml.org/doc/89365
ER -

References

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  1. [1] A. Andreotti and W. Stoll: Analytic and algebraic dependence of meromorphic functions. Lecture notes 234 (1971) Springer-Verlag. Zbl0222.32013MR390298
  2. [2] A. Andreotti and R. Narashiman: A topological property of Runge pairs. Ann. of Math.76 (1962) 499-509. Zbl0178.42703MR140714
  3. [3] D. Barlet: Espace analytique reduit des cycles analytiques complexes compacts d'un espace analytique. Lecture notes482 (1975) 1-158. Zbl0331.32008MR399503
  4. [4] A. Cassa: A theorem on Runge problem for analytic curves. Ann. di Matematica (IV) Vol. CVII (1976) 169-184. Zbl0322.32005MR425174
  5. [5] A. Cassa: The topology of the space of positive analytic cycles. (To appear in: Annali di Matematica). Zbl0375.32010MR442276
  6. [6] S. Coen: Sul rango de fasci coerenti. Boll. U.M.I. Vol. XXII (3) (1967) 373-382. Zbl0164.38202MR227467
  7. [7] M. Cornalba and P. Griffiths: Analytic cycles and vector bundles on non-compact algebraic varieties. Inv. Math.28 (1975) 1-106. Zbl0293.32026MR367263
  8. [8] O. Forster and K.J. Ramspott: Analytische Modulgarben und Endromisbündel. Inv. Math.2 (1966) 145-170. Zbl0154.33401MR218618
  9. [9] R.C. Gunning and H. Rossi: Analytic functions of several complex variables. Prentice Hall Series. 1965. Zbl0141.08601MR180696
  10. [10] J.R. King: A residue formula for complex subvarieties. Carolina conference proceedings (1970) 43-56. Zbl0224.32009MR273061
  11. [11] J.R. King: The currents defined by analytic varieties. Acta Math.127 (1971) 185-220. Zbl0224.32008MR393550
  12. [12] R. Narashiman: On the homology of Stein spaces. Inv. Math.2 (1967) 377-385. Zbl0148.32202MR216525
  13. [13] N. Steenrod: The topology of fibre bundles. Princeton University Press14 (1951). Zbl0054.07103MR39258

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