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math.AG2026
Combinatorial structure of low degree rational curves on a smooth Hermitian surface
Norifumi Ojiro
A smooth Hermitian surface is a projective surface isomorphic to the Fermat surface of degree in positive characteristic. We study incidence relations of the rational cur…
math.AG2020
Rational curves on a smooth Hermitian surface II: moduli and counting of certain infinite families
Norifumi Ojiro
A smooth -Hermitian surface is a surface projectively isomorphic over to the Fermat surface of degree , where is an algebraic closure of a finite field with $q^…
math.AG2018★ 3 cited
Rational curves on a smooth Hermitian surface
Norifumi Ojiro
We study the set of nonplanar rational curves of degree on a smooth Hermitian surface of degree defined over an algebraically closed field of characteristic $…