Abstract
Let $V$ be a smooth projective curve over the complex number field with genus $g \geq 2$, and let $\sigma$ be an automorphism on $V$ such that the quotient curve $V/\langle \sigma \rangle$ has genus 0. We write $d$ (resp., $b$) for the order of $\sigma$ (resp., the number of fixed points of $\sigma$). When $d$ and $b$ are fixed, the lower bound of the (Weierstrass) weights of fixed points of $\sigma$ was obtained by Perez del Pozo [7]. We obtain necessary and sufficient conditions for when the lower bound is attained.
Citation
Nan Wangyu. Masumi Kawasaki. Fumio Sakai. "On Perez Del Pozo's lower bound of Weierstrass weight." Kodai Math. J. 41 (2) 332 - 347, June 2018. https://doi.org/10.2996/kmj/1530496845