Affine like Surfaces

Abstract

We classify smooth surfaces whose higher cohomologies of i-forms for all i vanish. We show that if such a surface is not affine, then it has essentially two possibilities.

16 pages, LaTeX

Cited by in corpus (4)

• There Exist Nontrivial Threefolds with Vanishing Hodge Cohomology
• On the $D$-dimension of a certain type of threefolds
• On threefolds without nonconstant regular functions
• Hodge Cohomology Criteria For Affine Varieties