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math.AG2026
Prime Fano threefolds in positive characteristic
Akihiro Kanemitsu, Hiromu Tanaka
We prove that every prime Fano threefold of genus in positive characteristic is a linear section of a Mukai variety.
math.AG2026
Prime Fano threefolds of genus 8 in positive characteristic
Akihiro Kanemitsu, Hiromu Tanaka
We prove that a prime Fano threefold of genus 8 over an algebraically closed field of positive characteristic is isomorphic to a linear section of the Grassmannian variety Gr(2, 6)…