Abstract
We obtain several results of quotient curves of smooth plane curves with automorphisms. Such automorphisms can be divided into two types (type I and type II). The quotient curves of smooth plane curves with automorphisms of type I are extremal curves in the sense of Castelnuovo's bound. We also show some partial result on automorphisms of type II and give examples.
Citation
Takeshi Harui. Takao Kato. Jiryo Komeda. Akira Ohbuchi. "Quotient curves of smooth plane curves with automorphisms." Kodai Math. J. 33 (1) 164 - 172, March 2010. https://doi.org/10.2996/kmj/1270559164
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