Mathematics > Algebraic Geometry
arXiv:2605.30875 (math)
[Submitted on 29 May 2026]
Abstract:We prove that any Fano threefold of genus 9 and 10 contains a cylinder, i.e. an open subset isomorphic to the product of a quasiprojective variety and the affine line. Moreover, we show that any Fano threefold of genus 10 has a point such that the Hilbert scheme of lines through the point has length three.
Submission history
From: Nikita Virin [view email]
[v1]
Fri, 29 May 2026 06:03:31 UTC (16 KB)
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