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arXiv · 2608.07983

Automorphisms of very general blow up

Supravat Sarkar
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Abstract

We show that if $X$ is a projective variety of dimension $\geq 2$ that is not a rational surface, then the blow up of $X$ at sufficiently many very general points has no nontrivial automorphism. Similar results were known before for $\mathbb{P}^2$ and $\mathbb{P}^3.$

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Supravat Sarkar. 2026-08-08. Automorphisms of very general blow up. https://arxiv.org/abs/2608.07983

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