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On complete curves in moduli space I

Published online by Cambridge University Press:  24 October 2008

Gabino González Díez  and
William J. Harvey
Gabino González Díez
Affiliation:
Departamento de Matemáticas, Universidad Autónoma de Madrid, Spain
William J. Harvey
Affiliation:
Department of Mathematics, King's College London
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Extract

Let g denote the moduli space of compact Riemann surfaces of genus g > 3. It is known that g is a non-complete quasi-projective variety that contains many complete curves. This is because the Satake compactification g of g is projective and the boundary \ has co-dimension 2; thus by intersecting with hypersurfaces in sufficiently general position one obtains a complete curve in g passing through any given set of points [8].

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 110 , Issue 3 , November 1991 , pp. 461 - 466
Copyright
Copyright © Cambridge Philosophical Society 1991

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