多樣體上的分歧覆蓋問題

Abstract

這篇文章的主要目的是介紹一些三次覆蓋的性質。首先，我們會介紹一些關於三次覆蓋的篡本＇隨質，並且利用三次覆蓋的技巧去構造出一個 Pg = q → 2 ，磯＝ 5 的代數曲面。最後，我們會把類似的技巧誰廣到四次覆蓋去構造一個 P 〞 ＝ q → 2 ，磯＝ 6 的代數曲面。

The main purpose of this article is to introduce some properties of triple coverings. In this article, we review some properties of a triple covering, and ten we consider to use a triple covering to construct a complex surface of general type with pg = q = 2 and K2X = 5. Finally, we try to use similar techniques to develop a quadruple cover over a complex abelian surface.