@article{CM_1991__78_1_79_0, author = {Fieseler, Karl-Heinz and Kaup, Ludger}, title = {Fixed points, exceptional orbits, and homology of affine $\mathbb {C}^\ast $-surfaces}, journal = {Compositio Mathematica}, pages = {79--115}, publisher = {Kluwer Academic Publishers}, volume = {78}, number = {1}, year = {1991}, mrnumber = {1096127}, zbl = {0723.14034}, language = {en}, url = {http://www.numdam.org/item/CM_1991__78_1_79_0/} }
TY - JOUR AU - Fieseler, Karl-Heinz AU - Kaup, Ludger TI - Fixed points, exceptional orbits, and homology of affine $\mathbb {C}^\ast $-surfaces JO - Compositio Mathematica PY - 1991 SP - 79 EP - 115 VL - 78 IS - 1 PB - Kluwer Academic Publishers UR - http://www.numdam.org/item/CM_1991__78_1_79_0/ LA - en ID - CM_1991__78_1_79_0 ER -
%0 Journal Article %A Fieseler, Karl-Heinz %A Kaup, Ludger %T Fixed points, exceptional orbits, and homology of affine $\mathbb {C}^\ast $-surfaces %J Compositio Mathematica %D 1991 %P 79-115 %V 78 %N 1 %I Kluwer Academic Publishers %U http://www.numdam.org/item/CM_1991__78_1_79_0/ %G en %F CM_1991__78_1_79_0
Fieseler, Karl-Heinz; Kaup, Ludger. Fixed points, exceptional orbits, and homology of affine $\mathbb {C}^\ast $-surfaces. Compositio Mathematica, Tome 78 (1991) no. 1, pp. 79-115. http://www.numdam.org/item/CM_1991__78_1_79_0/
[AnNa] A topological property of Runge pairs. Ann. Math. 76, 499-509 (1962). | MR | Zbl
, and :[Ba] Topologie normaler gewichtet homogener Flächen. In: Real and complex singularities, 99-126, Oslo 1976. Sijthoff & Noordhoff Int. Publ. 1977. | MR | Zbl
:[BBSo] Quotients by C* and SL(2,C)-Actions. Trans. AMS 279, 773-800 (1983). | MR | Zbl
and :[Br] Sheaf Theory. McGraw Hill, New York (1967). | MR | Zbl
:[BuNi] On normal subgroups with finite index in F-groups. Matematisk Tidsskript B, 56-58 (1951). | MR | Zbl
and :[Fi] Bemerkungen zur ganzzahligen Schnitthomologie komplexer Räume. Habilitationsschrift Konstanz 1988.
:[FiKp] On the Geometry of Affine Algebraic C*surfaces. Problems on Surfaces and their Classification. Sympos. Math of INdAM. Academic Press, 1990. | MR | Zbl
and :[FiKp 2] Intersection Homology and Exceptional Orbits of C*-surfaces. Preprint 1988. | MR
and :[Fo] On Fenchel's conjecture about F-groups. Matematisk Tidsskrift B, 61-65 (1952). | MR | Zbl
:[Ha] Invariants of weighted homogeneous singularities. Proc. Journ. complexes Nancy 1985, in: Rev. de l'Inst. E. Cartan 10, 6-13 (1986) Nancy 1985. | MR | Zbl
:[Ho] Seifertsche Faserräume. Math. Ann. 157, 138-166 (1964). | EuDML | MR | Zbl
:[KeKnMuSD] Toroidal Embeddings. Springer LNM 339 (1973). | MR | Zbl
, , , and :[KiBaKp] Sur la topologie des surfaces complexes compactes. SMS vol. 80. Montréal: Les Presses de l'Université de Montréal (1982). | Zbl
, , and :[Kp] Zur Homologie projektiv algebraischer Varietäten. Ann. Scuola Norm. Sup. Pisa 26, 479-513 (1972). | EuDML | Numdam | MR | Zbl
:[Kr] Geometrische Methoden in der Invariantentheorie. Vieweg Braunschweig, Wiesbaden (1984). | MR | Zbl
:[KrPeRa] Randall: Quotient Varieties. Advances in Math. 74, 145-162 (1989). | MR | Zbl
, and[KrPo] Semisimple group actions on the three-dimensional affine space are linear. Comment. Math. Helv. 60, 539-554 (1985). | EuDML | MR | Zbl
and :[Lau] Normal Two-dimensional Singularities. Ann. Math. Studies, Princeton Univ. Press. Princeton 1971. | MR | Zbl
:[Lu] Slices étales. Bull. Soc. Math. France, Mémoire 33 (1973) 81-105. | EuDML | Numdam | MR | Zbl
:[Mu] The topology of normal singularities of an algebraic surface and a criterion for simplicity. Publ. Math. I.H.E.S. 9, 5-22 (1961). | EuDML | Numdam | MR | Zbl
:[Or] Seifert Manifolds, LNM 291, Springer, Heidelberg (1972). | MR | Zbl
:[OrWa] Isolated singularities of algebraic surfaces with C*-actions. Ann. Math. 93, 205-228 (1971). | EuDML | MR | Zbl
and :[OrWa2] Algebraic surfaces with k*-action. Acta Math. 138, 43-81 (1977). | MR | Zbl
and :[Pi] Normal Surface Singularities with C*-action. Math. Ann. 227, 183-193 (1977). | EuDML | MR | Zbl
:[Ra] The homology of generalized Brieskorn manifolds. Topology 14, 347-355 (1975). | MR | Zbl
:[Ry] Nonsingular affine k*-surfaces. Thesis, Rutgers University New Brunswick, 1988.
:[Se] Topologie dreidimensionaler gefaserter Räume. Acta Math. 60, 147-238 (1933). | JFM | Zbl
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