Hideo Kojima (Niigata University)

Logarithmic plurigenera of smooth affine surfaces

Abstract

We discuss smooth affine surfaces of non-negative logarithmic Kodaira dimension. After recalling structure theorems for open algebraic surfaces, we give some results on logarithmic plurigenera of some smooth affine surfaces. We also give a result on the logarithmic pluricanonical maps of smooth affine surfaces of logarithmic Kodaira dimension one.