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Fano manifolds with complete intersection type VMRT
[Submitted on 12 Jun 2026] · 2026-06-15 · via math updates on arXiv.org

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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.

Submission history

From: Cenhao Li [view email]
[v1] Fri, 12 Jun 2026 08:19:30 UTC (13 KB)