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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On the divisor of involutions in an elliptic modular surface


Author: P. R. Hewitt
Journal: Proc. Amer. Math. Soc. 110 (1990), 573-581
MSC: Primary 14J27; Secondary 11F99, 11G99, 14J50
MathSciNet review: 1028286
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Abstract: Let $ E \to X$ be an elliptic modular surface and $ S$ the tangential ruled surface of a projective embedding of $ X$. The divisor that collects the involutions of the elliptic fibers of $ E$ is precisely the branch locus of $ E \to S$ (at least generically). In this paper, we present two theorems that characterize this divisor in terms of the action of the group of modular automorphisms. These results extend work of D. Burns [1].


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1990-1028286-7
PII: S 0002-9939(1990)1028286-7
Article copyright: © Copyright 1990 American Mathematical Society