arXiv:2410.07207 Abstract | arXiv Analytics

Published 2024-09-25Version 1

We show that the complex projective space is the only projective manifold compactifying $\mathbb{C}^n$ by a smooth connected hypersurface.

Categories: math.AG, math.CV

Subjects: 14M27, 32J05

Keywords: complex projective space, compactifications, smooth connected hypersurface

Related articles: Most relevant | Search more

arXiv:math/0510285 [math.AG] (Published 2005-10-13)

Weak analytic hyperbolicity of generic hypersurfaces of high degree in the complex projective space of dimension 4

Erwan Rousseau

arXiv:2104.07549 [math.AG] (Published 2021-04-15)

Compactifications of moduli of $G$-bundles and conformal blocks

Avery Wilson

arXiv:0711.0094 [math.AG] (Published 2007-11-01, updated 2010-09-02)

Geometry of A_g and Its Compactifications