Finiteness and separation theorems for Dolbeault cohomologies with support conditions

Christine Laurent-Thiébaut; Jürgen Leiterer

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (2001)

  • Volume: 30, Issue: 3-4, page 565-581
  • ISSN: 0391-173X

How to cite

top

Laurent-Thiébaut, Christine, and Leiterer, Jürgen. "Finiteness and separation theorems for Dolbeault cohomologies with support conditions." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 30.3-4 (2001): 565-581. <http://eudml.org/doc/84453>.

@article{Laurent2001,
author = {Laurent-Thiébaut, Christine, Leiterer, Jürgen},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {Dolbeault cohomology with supports; concavity; convexity},
language = {eng},
number = {3-4},
pages = {565-581},
publisher = {Scuola normale superiore},
title = {Finiteness and separation theorems for Dolbeault cohomologies with support conditions},
url = {http://eudml.org/doc/84453},
volume = {30},
year = {2001},
}

TY - JOUR
AU - Laurent-Thiébaut, Christine
AU - Leiterer, Jürgen
TI - Finiteness and separation theorems for Dolbeault cohomologies with support conditions
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 2001
PB - Scuola normale superiore
VL - 30
IS - 3-4
SP - 565
EP - 581
LA - eng
KW - Dolbeault cohomology with supports; concavity; convexity
UR - http://eudml.org/doc/84453
ER -

References

top
  1. [CS] E.M. Chirka - E.L. Stout, Removable singularities in the boundary, in: Aspects Math., Viehweg E 26 (1994), 43-104. Zbl0820.32008MR1319345
  2. [FiLi] W. Fischer - I. Lieb, Lokale Kerne und beschränkte Lösungen für den ∂-Operator auf q-konvexen Gebieten, Math. Ann.208 (1974), 249-265. Zbl0277.35045
  3. [GP] V. Guillemin - A. Pollack, "Differential Topology", Prentice-Hall1974. Zbl0361.57001MR348781
  4. [GW] R.E. Green - H. Wu, Embedding of Open Riemannian Manifolds by Harmonic Functions, Ann. Inst. Fourier, Grenoble25 (1975), 215-235. Zbl0307.31003MR382701
  5. [HeLe] G.M. Henkin - J. Leiterer, Andreotti-Grauert Theory by Integral Formulas, Birkhäuser, Progress in Mathematics74 (1988). Zbl0654.32002MR986248
  6. [Ho] M. Hortmann, Über die Lösbarkeit der ∂-Gleichung auf Ringgebieten mit Hilfe von Lp-, Ck- und D'-stetigen Integraloperatoren, Math. Ann.223 (1976), 139-156. Zbl0336.35073
  7. [LaLe1] C. Laurent-Thiébaut - J. Leiterer, On the Hartogs-Bochner Extension Phenomenon for Differential Forms, Math. Ann.284 (1989), 103-119. Zbl0675.32015MR995385
  8. [LaLe2] C. Laurent-Thiébaut - J. Leiterer, A Separation Theorem and Serre Duality for the Dolbeault Cohomology, to appear. Zbl1066.32013MR1948067
  9. [Li] I. Lieb, Beschränkte Lösungen der Cauchy-Riemannschen Differentialgleichungen auf q-konkaven Gebieten, Manuscripta Math.26 (1979), 387-409. Zbl0395.32010MR520109
  10. [Mi] K. Miyazawa, On the ∂-cohomology of strongly q-concave manifolds, Osaka J. Math.33 (1996), 83-92. Zbl0856.32009
  11. [O] T. Ohsawa, Completeness of noncompact analytic spaces, Publ. RIMS, Kyoto Univ.20 (1984), 683-692. Zbl0568.32008MR759689
  12. [Se] J.P. Serre, Un théorème de dualité, Commentarii Mathematici Helvetici29 (1955), 9-26. Zbl0067.16101MR67489

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.