Compactifications of Cⁿ and the complex projective space

2024/09/25 by Peternell, Thomas
#14M27 #32J05 #Algebraic Geometry (math.AG) #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.2410.07207

Abstract

We show that the complex projective space is the only projective manifold compactifying ℂⁿ by a smooth connected hypersurface, provided n is even. In the odd dimensional case we give some partial results. The case when n ≡ 1 mod 4 has now been settled by Ping Li.

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