Duality for certain multi-Frobenius nonclassical curves in higher dimensional spaces

نویسندگان

چکیده

We show how a type of multi-Frobenius nonclassicality curve defined over finite field Fq characteristic p reflects on the geometry its strict dual curve. In particular, in such cases we may describe all possible intersection multiplicities with linear system hyperplanes. Among other consequence, using result by Homma, are able to construct nonreflexive space curves that their tangent surfaces as well, and image generic point Frobenius map is osculating hyperplane. also obtain generalizations improvements some known results literature.

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ژورنال

عنوان ژورنال: Journal of Algebra

سال: 2023

ISSN: ['1090-266X', '0021-8693']

DOI: https://doi.org/10.1016/j.jalgebra.2023.05.034