Fixed points, exceptional orbits, and homology of affine * -surfaces

Karl-Heinz Fieseler; Ludger Kaup

Compositio Mathematica (1991)

  • Volume: 78, Issue: 1, page 79-115
  • ISSN: 0010-437X

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Fieseler, Karl-Heinz, and Kaup, Ludger. "Fixed points, exceptional orbits, and homology of affine $\mathbb {C}^*$-surfaces." Compositio Mathematica 78.1 (1991): 79-115. <http://eudml.org/doc/90082>.

@article{Fieseler1991,
author = {Fieseler, Karl-Heinz, Kaup, Ludger},
journal = {Compositio Mathematica},
keywords = {exceptional orbits; homology of affine -surfaces; cohomology groups},
language = {eng},
number = {1},
pages = {79-115},
publisher = {Kluwer Academic Publishers},
title = {Fixed points, exceptional orbits, and homology of affine $\mathbb \{C\}^*$-surfaces},
url = {http://eudml.org/doc/90082},
volume = {78},
year = {1991},
}

TY - JOUR
AU - Fieseler, Karl-Heinz
AU - Kaup, Ludger
TI - Fixed points, exceptional orbits, and homology of affine $\mathbb {C}^*$-surfaces
JO - Compositio Mathematica
PY - 1991
PB - Kluwer Academic Publishers
VL - 78
IS - 1
SP - 79
EP - 115
LA - eng
KW - exceptional orbits; homology of affine -surfaces; cohomology groups
UR - http://eudml.org/doc/90082
ER -

References

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  1. [AnNa] Andreotti, Also, and R. Narasimhan: A topological property of Runge pairs. Ann. Math.76, 499-509 (1962). Zbl0178.42703MR140714
  2. [Ba] Barthel, Gottfried: Topologie normaler gewichtet homogener Flächen. In: Real and complex singularities, 99-126, Oslo1976. Sijthoff & Noordhoff Int. Publ.1977. Zbl0404.14013MR472837
  3. [BBSo] Bialynicki-Birula, Andrzej and Andrew Sommese: Quotients by C* and SL(2,C)-Actions. Trans. AMS279, 773-800 (1983). Zbl0566.32026MR709583
  4. [Br] Bredon, Glen E.: Sheaf Theory. McGraw Hill, New York (1967). Zbl0158.20505MR221500
  5. [BuNi] Bungaards, S. and J. Nielsen: On normal subgroups with finite index in F-groups. Matematisk TidsskriptB, 56-58 (1951). Zbl0044.25403MR48447
  6. [Fi] Fieseler, Karl-Heinz:Bemerkungen zur ganzzahligen Schnitthomologie komplexer Räume. Habilitationsschrift Konstanz1988. 
  7. [FiKp] Fieseler, Karl-Heinz and Ludger Kaup: On the Geometry of Affine Algebraic C*surfaces. Problems on Surfaces and their Classification. Sympos. Math of INdAM. Academic Press, 1990. Zbl0833.14023MR1273375
  8. [FiKp 2] Fieseler, Karl-Heinz and Ludger Kaup: Intersection Homology and Exceptional Orbits of C*-surfaces. Preprint 1988. Zbl0644.32010MR948158
  9. [Fo] Fox, R.H.: On Fenchel's conjecture about F-groups. Matematisk TidsskriftB, 61-65 (1952). Zbl0049.15404MR53937
  10. [Ha] Hamm, Helmut: Invariants of weighted homogeneous singularities. Proc. Journ. complexes Nancy1985, in: Rev. de l'Inst. E. Cartan10, 6-13 (1986) Nancy1985. Zbl0659.32012MR933782
  11. [Ho] Holmann, Harald:Seifertsche Faserräume. Math. Ann.157, 138-166 (1964). Zbl0123.16501MR170349
  12. [KeKnMuSD] Kempf, G., F. Knudsen, David Mumford, and B. Saint-Donat: Toroidal Embeddings. Springer LNM339 (1973). Zbl0271.14017MR335518
  13. [KiBaKp] Kilambi, Srinivasacharyulu, Gottfried Barthel, and Ludger Kaup: Sur la topologie des surfaces complexes compactes. SMS vol. 80. Montréal: Les Presses de l'Université de Montréal (1982). Zbl0494.32011
  14. [Kp] Kaup, Ludger: Zur Homologie projektiv algebraischer Varietäten. Ann. Scuola Norm. Sup. Pisa26, 479-513 (1972). Zbl0236.32006MR385153
  15. [Kr] Kraft, Hanspeter: Geometrische Methoden in der Invariantentheorie. ViewegBraunschweig, Wiesbaden (1984). Zbl0569.14003MR768181
  16. [KrPeRa] Kraft, Hanspeter, Ted Petrie and John D.Randall: Quotient Varieties. Advances in Math.74, 145-162 (1989). Zbl0691.14029MR997095
  17. [KrPo] Kraft, Hanspeter and V.L. Popov: Semisimple group actions on the three-dimensional affine space are linear. Comment. Math. Helv.60, 539-554 (1985). Zbl0645.14020MR814152
  18. [Lau] Laufer, Henry B.: Normal Two-dimensional Singularities. Ann. Math. Studies, Princeton Univ. Press. Princeton1971. Zbl0245.32005MR320365
  19. [Lu] Luna, Domingo: Slices étales. Bull. Soc. Math. France, Mémoire 33 (1973) 81-105. Zbl0286.14014MR342523
  20. [Mu] Mumford, David: The topology of normal singularities of an algebraic surface and a criterion for simplicity. Publ. Math. I.H.E.S.9, 5-22 (1961). Zbl0108.16801MR153682
  21. [Or] Orlik, Peter: Seifert Manifolds, LNM291, Springer, Heidelberg (1972). Zbl0263.57001MR426001
  22. [OrWa] Orlik, Peter and Philip Wagreich: Isolated singularities of algebraic surfaces with C*-actions. Ann. Math.93, 205-228 (1971). Zbl0212.53702MR284435
  23. [OrWa2] Orlik, Peter and Philip Wagreich: Algebraic surfaces with k*-action. Acta Math.138, 43-81 (1977). Zbl0352.14016MR460342
  24. [Pi] Pinkham, Henry: Normal Surface Singularities with C*-action. Math. Ann.227, 183-193 (1977). Zbl0331.14018MR432636
  25. [Ra] Randell, Richard C.: The homology of generalized Brieskorn manifolds. Topology14, 347-355 (1975). Zbl0317.57012MR413149
  26. [Ry] Rynes, Jean M.: Nonsingular affine k*-surfaces. Thesis, Rutgers UniversityNew Brunswick, 1988. 
  27. [Se] Seifert, H.: Topologie dreidimensionaler gefaserter Räume. Acta Math.60, 147-238 (1933). Zbl0006.08304JFM59.1241.02

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