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arXiv · 2403.05250

Klt degenerations of projective spaces

Andreas Höring·Thomas Peternell
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Abstract

We study degenerations of complex projective spaces $\mathbb P^n$ into normal projective klt varieties $X$. If the tangent sheaf of $X$ is semi-stable, we show that $X$ itself is a projective space. If $X$ is a threefold with canonical singularities, we show that there are only three varieties which satisfy all the conditions.

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Andreas Höring, Thomas Peternell. 2024-03-08. Klt degenerations of projective spaces. https://arxiv.org/abs/2403.05250

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