On the homology groups of q -complete spaces

Edoardo Ballico; Giorgio Bolondi

Rendiconti del Seminario Matematico della Università di Padova (1983)

  • Volume: 69, page 19-25
  • ISSN: 0041-8994

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Ballico, Edoardo, and Bolondi, Giorgio. "On the homology groups of $q$-complete spaces." Rendiconti del Seminario Matematico della Università di Padova 69 (1983): 19-25. <http://eudml.org/doc/107892>.

@article{Ballico1983,
author = {Ballico, Edoardo, Bolondi, Giorgio},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {vanishing of homology groups; q-complete complex space; open subset of a Stein space; vanishing theorem; q-Runge pairs},
language = {eng},
pages = {19-25},
publisher = {Seminario Matematico of the University of Padua},
title = {On the homology groups of $q$-complete spaces},
url = {http://eudml.org/doc/107892},
volume = {69},
year = {1983},
}

TY - JOUR
AU - Ballico, Edoardo
AU - Bolondi, Giorgio
TI - On the homology groups of $q$-complete spaces
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1983
PB - Seminario Matematico of the University of Padua
VL - 69
SP - 19
EP - 25
LA - eng
KW - vanishing of homology groups; q-complete complex space; open subset of a Stein space; vanishing theorem; q-Runge pairs
UR - http://eudml.org/doc/107892
ER -

References

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  1. [1] A. Andreotti - H. GRAUERT, Theorèmes de finitude pour la cohomologie des espaces complexes, Bull. Soc. Math. Fr., 90 (1962), pp. 193-253. Zbl0106.05501MR150342
  2. [2] R. Benedetti, Density of Morse function on a complex space, Math. Ann., 229 (1977), pp. 135-139. Zbl0354.32027MR457765
  3. [3] A. Cassa, Coomologia separata sulle varietà analitiche complesse, Ann. Sc. Norm. Sup. Pisa, 25 (1971), pp. 291-323. Zbl0232.46010MR357851
  4. [4] S. Coen, Sull'omologia degli aperti q-completi di uno spazio di Stein, Ann. Sc. Norm. Sup. Pisa, 23 (1969), pp. 289-303. Zbl0175.37302MR252682
  5. [5] A. Ferrari, Cohomology and differential forms on complex analytic spaces, Ann. Sc. Norm. Sup. Pisa, 24 (1970), pp. 65-77. Zbl0191.37902MR274810
  6. [6] A. Ferrari, Coomologia e forme differenziali olomorfe sugli spazi analitici complessi, Ann. Sc. Norm. Sup. Pisa, 25, no. 2 (1971), pp. 469-477. MR414922
  7. [7] J. Le Potier, Une propriété topologique des espaces q-convexes, Bull. Soc. Math. Fr., 98 (1970), pp. 319-328. Zbl0204.56501MR281950
  8. [8] G. Sorani, Omologia degli spazi q-pseudoconvessi, Ann. Sc. Norm. Spu. Pisa, 16 (1962), pp. 299-304. Zbl0192.18403MR157005
  9. [9] G. Sorani, Homologie des q-paires de Runge, Ann. Sc. Norm. Sup. Pisa, 17 (1963), pp. 319-332. Zbl0126.09701MR165143

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