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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Families of rational surfaces preserving a cusp singularity


Author: Lee J. McEwan
Journal: Trans. Amer. Math. Soc. 321 (1990), 691-716
MSC: Primary 14J17; Secondary 14D20, 14J26
MathSciNet review: 968419
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Abstract: Families of rational surfaces containing resolutions of cusp singularities are explicitly constructed. It is proved that the families constructed are universal deformations at each point. Two different monodromy formulas are established; one of these is shown to be connected to automorphisms of Inoue-Hirzebruch surfaces. Some evidence (but no proof) is offered for the conjecture that finite base changes of the families we construct are the versal-deformation spaces for singular Inoue-Hirzebruch surfaces.


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DOI: https://doi.org/10.1090/S0002-9947-1990-0968419-6
Article copyright: © Copyright 1990 American Mathematical Society