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arXiv · 2606.14236

Fano manifolds with complete intersection type VMRT

Cenhao Li
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Abstract

We study Fano manifolds of Picard number one equipped with a locally flat VMRT structure whose VMRT at a general point is a smooth linearly non-degenerate complete intersection. We prove that such a manifold is biregular to the standard hyperquadric provided that one of two additional assumptions is satisfied. The proof uses equivariant compactifications of the vector group $\mathbb C^n$, Euler-symmetric projective varieties, fundamental forms, and special birational transformations.

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Cenhao Li. 2026-06-12. Fano manifolds with complete intersection type VMRT. https://arxiv.org/abs/2606.14236

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