A Density Result for Real Hyperelliptic Curves

Brian Lawrence

Let $\{{\infty }^{+},{\infty }^{-}\}$ be the two points above $\infty$ on the real hyperelliptic curve $H:y^2=(x^2-1){\prod }_{i=1}^{2g}(x-a_i)$. We show that the divisor $([\infty^+]…