Heesang Park

A COMPLEX SURFACE OF GENERAL TYPE WITH p g

As the sequel to our previous work [4], we construct a minimal complex surface of general type with , and = by using a rational blow-down surgery and -Gorenstein smoothing the-ory.

SURFACES OF GENERAL TYPE WITH p g

In this paper we construct a new family of simply connected minimal complex surfaces of general type with

A complex surface of general type with _{}=0, ²=2 and ₁=ℤ/4ℤ

p_g=1

A simply connected numerical Campedelli surface with an involution

,

A COMPLEX SURFACE OF GENERAL TYPE WITH pg=0, K2=3 AND H1= ℤ/2ℤ

q=0

SURFACES OF GENERAL TYPE WITH pg = 1 AND q = 0

, and

SURFACES OF GENERAL TYPE WITH p g = 1 AND q = 0

K^2=3, 4, 5, 6, 8

A COMPLEX SURFACE OF GENERAL TYPE WITH p g =0, K 2 =3 AND H 1 = ℤ/2ℤ

using a

Surfaces of general type with

\mathbb{Q}

p_g=1

-Gorenstein smoothing theory. We also reconstruct minimal complex surfaces of general type with