Automorphisms of rational double points and moduli spaces of surfaces of general type
Compositio Mathematica (1987)
- Volume: 61, Issue: 1, page 81-102
- ISSN: 0010-437X
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topCatanese, F.. "Automorphisms of rational double points and moduli spaces of surfaces of general type." Compositio Mathematica 61.1 (1987): 81-102. <http://eudml.org/doc/89816>.
@article{Catanese1987,
author = {Catanese, F.},
journal = {Compositio Mathematica},
keywords = {minimal surface of general type; coarse moduli space; bidouble covers; deformations; 1/2 rational double points},
language = {eng},
number = {1},
pages = {81-102},
publisher = {Martinus Nijhoff Publishers},
title = {Automorphisms of rational double points and moduli spaces of surfaces of general type},
url = {http://eudml.org/doc/89816},
volume = {61},
year = {1987},
}
TY - JOUR
AU - Catanese, F.
TI - Automorphisms of rational double points and moduli spaces of surfaces of general type
JO - Compositio Mathematica
PY - 1987
PB - Martinus Nijhoff Publishers
VL - 61
IS - 1
SP - 81
EP - 102
LA - eng
KW - minimal surface of general type; coarse moduli space; bidouble covers; deformations; 1/2 rational double points
UR - http://eudml.org/doc/89816
ER -
References
top- [A1] M. Artin: Some numerical criteria for contractability of curves on algebraic surfaces. Amer. J. Math., 84 (1962) 485-496. Zbl0105.14404MR146182
- [A2] M. Artin: On isolated rational singularities of surfaces. Amer. J. Math., 88 (1966) 129-136. Zbl0142.18602MR199191
- [A3] M. Artin: Coverings of the rational double points in char = p. In: Complex Analysis and Algebraic Geometry. Iwanami Shoten and Cambridge University Press (1977) 11-22. Zbl0358.14008MR450263
- [B] E. Brieskorn: Die Auflösung der rationalen Singularitäten holomorpher Abbildungen. Math. Ann.178 (1968) 255-270. Zbl0159.37703MR233819
- [B2] E. Brieskorn: Rationale Singularitäten komplexer Flächen. Inv. Math.4 (1968) 336-358. Zbl0219.14003MR222084
- [Ba] L. Badescu: Normal projective degenerations of rational and ruled surfaces. Crelle Jour.367 (1986) 76-89. Zbl0604.14020MR839124
- [B-P-V] W. Barth, C. Peters, A. Van De Ven: Compact complex surfaces. Springer-Verlag, Ergebnisse 4, n.F. (1984). Zbl0718.14023MR749574
- [B-R] D. Burns and M. Rapoport: On the Torelli problem for Kählerian K-3 surfaces. Ann. E.N.S., 8 (1975) 235-274. Zbl0324.14008MR447635
- [C] H. Cartan: Quotient d'un espace analytique par un groupe d'automorphismes. In: Algebraic Geometry and Topology: A Symposium in honour of S. Lefschetz. Princeton Math. Series12 (1957) 90-102. Zbl0084.07202MR84174
- [Ca1] F. Catanese: On the moduli spaces of surfaces of general type. J. Diff. Geom.19, 2 (1984) 483-515. Zbl0549.14012MR755236
- [Ca2] F. Catanese: Moduli of surfaces of general type. In: Algebraic Geometry: Open Problems. Proc. Ravello 1982, Springer L.N.M.997 (1983) 90-112. Zbl0517.14011MR714742
- [Ca4] F. Catanese: Connected components of moduli spaces, to appear in Jour. Diff. Geom. Zbl0621.14014MR868977
- [Gi] D. Gieseker: Global moduli for surfaces of general type. Inv. Math.43 (1977) 233-282. Zbl0389.14006MR498596
- [Gr] H. Grauert: Über die Deformationen isolierter Singularitäten analytischer Mengen. Inv. Math.15 (1972) 171-198. Zbl0237.32011MR293127
- [G-S] G.M. Greuel, J. Steenbrink: On the topology of smoothable singularities. Proc. Symp. Pure Math.40, Part 1 (1983) A.M.S.535-545. Zbl0535.32004MR713090
- [K] W. Kaup: Reelle Transformationsgruppen und invariante Metriken auf komplexen Räumen, Inv. Math.3 (1967) 43-70. Zbl0157.13401MR216030
- [Ko] K. Kodaira: On stability of compact submanifolds of complex manifolds. Amer. J. Math., 85 (1963) 79-94. Zbl0173.33101MR153033
- [M] D. Mumford: The topology of normal singularities of an algebraic surface and a criterion for simplicity. I.H.E.S. Publ. Math.9 (1961) 5-22. Zbl0108.16801MR153682
- [R] O. Riemenschneider: Deformationen von Quotientensingularitäten (nach zyklischen Gruppen), Math. Ann.209 (1974) 211-248. Zbl0275.32010MR367276
- [St] J. Steenbrink: Mixed Hodge structures associated with isolated singularities. Proc. Symp. Pure Math.40, Part. 2 (1983) A.M.S513-536. Zbl0515.14003MR713277
- [T] G.N. Tjurina: Resolutions of singularities of plane ( = flat) deformations of double rational points. Funk. Anal. i. Priloz., 4 (1970) 77-83. Zbl0221.32008MR267129
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