Surfaces of general type with p_g=q=2
Date Issued
2012
Date
2012
Author(s)
Chen, Hsin-Ku
Abstract
This article is about the classification of algebraic surfaces. We focus on the surfaces of general type with pg = q = 2. This kind of surfaces are not completely classified yet.We construct several examples in this article.In this paper I discuss two methods for constructing a surface of general type with pg = q = 2. The first one is by considering a surface which is isogenus to a product of curves. This kind of surfaces is rather easy to work out. Penegini gives a complete list of such surfaces. The other way to construct a surface with given invariant is to consider a finite covering of an abelain surface. Chen and Hacon construct a surface with K2 = 5
by considering a triple cover of an abelian surface. Using the similar method, I construct a quadruple covering over an abelian surface to get a surface with K2 = 6.
Subjects
surface of general type
isogenus to product
abelian surface
Type
thesis
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