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arXiv · 1807.00863

The rigidity theorem of Fano--Segre--Iskovskikh--Manin--Pukhlikov--Corti--Cheltsov--de Fernex--Ein--Musta\cedilla{t}\u{a}--Zhuang

János Kollár
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Abstract

We prove that $n$-dimensional smooth hypersurfaces of degree $n+1$ are superrigid. Starting with the work of Fano in 1915, the proof of this Theorem took 100 years and a dozen researchers to construct. Here I give complete proofs, aiming to use only basic knowledge of algebraic geometry and some Kodaira type vanishing theorems. Version 2: many changes, especially in section 1.

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János Kollár. 2018-07-02. The rigidity theorem of Fano--Segre--Iskovskikh--Manin--Pukhlikov--Corti--Cheltsov--de Fernex--Ein--Musta\cedilla{t}\u{a}--Zhuang. https://arxiv.org/abs/1807.00863

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