Abstract
Let $C$ be a smooth plane algebraic curve of degree $n\geq 3$. We give the upper bound for the weights of points on $C$ and if $C$ has an involution, i.e., an automorphism of order 2, then we give the lower bound for the weights of fixed points of the involution on $C$. Furthermore, we obtain all the possible Weierstrass gap sequences and weights of fixed points of the involution for the case $n=5$ or 6.
Citation
Satoru Kikuchi. "Bound for the Weierstrass weights of points on a smooth plane algebraic curve." Tsukuba J. Math. 27 (2) 359 - 374, December 2003. https://doi.org/10.21099/tkbjm/1496164654
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