Ingrid C. Bauer
Surfaces with $p_g = 4$ and $K^2 = 7$.
Preprint series: Mathematica Gottingensis

MSC:

14J29 Surfaces of general type

Abstract: In this paper we study minimal smooth algebraic surfaces of
general type over the complex numbers with $K^2 = 7$ and
$p_g = 4$. We give a rather precise description of the
moduli space of these surfaces. In particular, it is proved
that the moduli space of surfaces with $K^2 = 7$ and
$p_g = 4$ has three irreducible components and at most two
connected components.
Keywords: moduli spaces, fine classification of surfaces, surfaces of general type