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

 

An explicit family of curves with trivial automorphism groups


Author: Peter Turbek
Journal: Proc. Amer. Math. Soc. 122 (1994), 657-664
MSC: Primary 14H55
MathSciNet review: 1242107
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Abstract: It is well known that a generic compact Riemann surface of genus greater than two admits only the identity automorphism; however, examples of such Riemann surfaces with their defining algebraic equations have not appeared in the literature. In this paper we give the defining equations of a doubly infinite, two-parameter family of projective curves (Riemann surfaces if defined over the complex numbers), whose members admit only the identity automorphism.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1994-1242107-2
PII: S 0002-9939(1994)1242107-2
Article copyright: © Copyright 1994 American Mathematical Society