Involutions on a surface of general type with $p_g=q=0$, $K^2=7$

TL;DR

This paper investigates involutions on minimal surfaces of general type with specific invariants, classifying their quotient surfaces and branch divisors to understand their geometric structure.

Contribution

It provides a classification of birational models and branch divisors of quotient surfaces arising from involutions on these minimal surfaces.

Findings

Classification of quotient surfaces under involutions

Description of branch divisors induced by involutions

Insights into the structure of surfaces with $p_g=q=0$, $K^2=7$

Abstract

In this paper we study on the involution on minimal surfaces of general type with $p_g=q=0$ and $K^2=7$. We focus on the classification of the birational models of the quotient surfaces and their branch divisors induced by an involution.