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Isotrivially fibred isles in the moduli space of surfaces of general type
Author:
Martin Möller
Journal:
Proc. Amer. Math. Soc. 133 (2005), 357-362
MSC (2000):
Primary 14J10, 14D06
Posted:
September 16, 2004
MathSciNet review:
2093055
Full-text PDF Free Access
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Additional Information
Abstract: We complement Catanese's results on isotrivially fibred surfaces by completely describing the components containing an isotrivial surface with monodromy group . We also give an example for deformation equivalent isotrivial surfaces with different monodromy group.
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- Arbarello, E., Cornalba, M., Griffiths, P.A., Harris, J., Geometry of Algebraic Curves, Volume I, Springer Grundlehren 267 (1985) MR 0770932 (86h:14019)
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- Beauville, A., Letter to F. Catanese, Appendix to [Ca91]
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- Barth, W., Peters, C., van de Ven, A., Compact Complex Surfaces, Ergebnisse der Math. 3 Bd. 4, Springer-Verlag (1984) MR 0749574 (86c:32026)
- [Ca91]
- Catanese, F., Moduli and classification of irregular Kaehler manifolds (and algebraic varieties) with Albanese general type fibrations, Invent. Math. 104 (1991), 263-289 MR 1098610 (92f:32049)
- [Ca00]
- Catanese, F., Fibred surfaces, varieties isogenous to a product and related moduli spaces, Am. J. Math. 122 (2000), 1-44 MR 1737256 (2001i:14048)
- [EGA]
- Grothendieck, A., Éléments de la géometrie algébrique I: Springer, Grundlehren 166 (1971) III: Publ Math. IHES 11 (1961) and 17 (1963)
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- Fantechi, B., Pardini, R., Automorphisms and moduli spaces of varieties with ample canonical class via deformations of abelian covers, Comm. in Alg. 25(5) (1997), 1413-1441 MR 1444010 (98c:14028)
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- Manetti, M., Iterated double covers and connected components of moduli spaces, Topology 36 No.3 (1997), 745-764 MR 1422433 (98h:14045)
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- Möller, M., Modulräume irregulär gefaserter Flächen, Dissertation, Karlsruhe (2002)
- [Ser96]
- Serrano, F., Isotrivial Fibred Surfaces, Annali di Matematica pura ed app. (IV), Vol. CLXXI (1996), 63-82 MR 1441865 (98e:14036)
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Additional Information
Martin Möller
Affiliation:
Mathematisches Institut II, Universität Karlsruhe, Englerstrasse 2, D-76128 Karlsruhe, Germany
Address at time of publication:
FB6 (Mathematik), Universität Essen, D-45117 Essen, Germany
Email:
moeller@math.uni-karlsruhe.de, martin.moeller@uni-essen.de
DOI:
http://dx.doi.org/10.1090/S0002-9939-04-07455-6
PII:
S 0002-9939(04)07455-6
Keywords:
Isotrivially fibred surfaces,
monodromy group
Received by editor(s):
December 12, 2002
Received by editor(s) in revised form:
July 7, 2003
Posted:
September 16, 2004
Communicated by:
Michael Stillman
Article copyright:
© Copyright 2004 American Mathematical Society
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