Abstract
We consider the space of smooth affine curves with one place at infinity and a fixed genus. We will show that the quotient space by the algebraic automorphism group of C2 has a structure of an algebraic variety which has finite connected components and each component is isomorphic to a cyclic quotient of a rational variety.
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Oka, M. (1998). Moduli Space of Smooth Affine Curves of a Given Genus with one Place at Infinity. In: Arnold, V.I., Greuel, GM., Steenbrink, J.H.M. (eds) Singularities. Progress in Mathematics, vol 162. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8770-0_20
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DOI: https://doi.org/10.1007/978-3-0348-8770-0_20
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