Involutions on a surface of general type 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.

16 pages, There are small modifications in Introduction and in Section 5. These modifications do not affect our main result of classification (Theorem and Classification Table in Introduction)

References in corpus (1)

• Some bidouble planes with $p_g=q=0$ and $4\le K^2\le 7$

Cited by in corpus (2)

• Mixed quasi-étale surfaces, new surfaces of general type with $p_g=0$ and their fundamental group
• Commuting involutions on surfaces of general type with p_g=0 and K^2=7