The moduli space of anisotropic Gaussian curves J. HuismanM. Lattarulo 14H1514P9930F5052C35anisotropic hyperelliptic curveanisotropic Gaussian curvebordered line arrangementmoduli space Let $X$ be a real hyperelliptic curve. Its opposite curve $X^{-}$ is the curve obtained from $X$ by twisting the real structure on $X$ by the hyperelliptic involution. The curve $X$ is said to be Gaussian if $X^{-}$ is isomorphic to $X$. In an earlier paper, we have studied Gaussian curves having real points [J. Huisman and M. Lattarulo, \eph{Imaginary automorphisms on real hyperelliptic curves}, J. Pure Appl. Algebra \textbf{200} (2005), 318-331]. In the present paper we study Gaussian curves without real points, i.e., anisotropic Gaussian curves. We prove that the moduli space of such curves is a reducible connected real analytic subset of the moduli space of all anisotropic hyperelliptic curves, and determine its irreducible components. Indiana University Mathematics Journal 2009 text pdf 10.1512/iumj.2009.58.3577 10.1512/iumj.2009.58.3577 en Indiana Univ. Math. J. 58 (2009) 2409 - 2432 state-of-the-art mathematics http://iumj.org/access/