Mathematics > Algebraic Geometry
arXiv:2606.16348 (math)
[Submitted on 15 Jun 2026]
Abstract:We prove that every $n$-dimensional lattice simplex $P$ whose lattice length $L(P)\ge n-1$ is integrally closed. As an application, we obtain a simple criterion for the projective normality of ample line bundles on $\mathbb{Q}$-factorial toric Fano varieties with Picard number one. We further obtain a refinement of this result in terms of the invariant $\Gamma_{P}$.
Submission history
From: Zhixian Zhu [view email]
[v1]
Mon, 15 Jun 2026 07:49:45 UTC (11 KB)
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