On surfaces with p_g=2, q=1 and K^2=5

TL;DR

This paper studies minimal algebraic surfaces with specific invariants, providing a detailed classification of their moduli space, including bounds on the number and dimensions of its components.

Contribution

It offers a stratification of the moduli space for surfaces with p_g=2, q=1, K^2=5, and establishes bounds on the number and dimensions of its irreducible components.

Findings

Stratification of the moduli space for these surfaces

Bounds on the number of irreducible components

Bounds on the dimensions of these components

Abstract

We consider minimal surfaces of general type with $p_g = 2$, $q = 1$ and $K^2 = 5$. We provide a stratification of the corresponding moduli space and we give some bounds for the number and the dimensions of its irreducible components.