Affine like Surfaces

1992/06/04 by Narasimha Kumar, Kumar, N. Mohan · 2 citations
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.alg-geom/9206003

openalex publication_date 1992/06/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Cited by

• There Exist Nontrivial Threefolds with Vanishing Hodge Cohomology
• On the D-dimension of a certain type of threefolds

Related

• Affine surfaces with isomorphic cylinders
• Parallel surfaces in affine 4-space
• A smooth complex rational affine surface with uncountably many real forms
• Affine surfaces with AK(S)=\Bbb C.
• An almost Zoll affine surface