An explicit family of curves with trivial automorphism groups

Author:
Peter Turbek

Journal:
Proc. Amer. Math. Soc. **122** (1994), 657-664

MSC:
Primary 14H55

DOI:
https://doi.org/10.1090/S0002-9939-1994-1242107-2

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:
https://doi.org/10.1090/S0002-9939-1994-1242107-2

Article copyright:
© Copyright 1994
American Mathematical Society