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An Explicit Family of Curves with Trivial Automorphism Groups
Proceedings of the American Mathematical Society
Vol. 122, No. 3 (Nov., 1994), pp. 657-664
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/2160738
Page Count: 8
You can always find the topics here!Topics: Automorphisms, Integers, Riemann surfaces, Algebra, Polynomials, Curves, Mathematical triviality, Mathematical sequences, Uniqueness
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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.
Proceedings of the American Mathematical Society © 1994 American Mathematical Society