A remark on the genus of curves in \mathbf P⁴

2019/05/02 by Di Gennaro, Vincenzo
#14H99 (Secondary) #14N05 (Primary) #14N15 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1905.00950

Abstract

Let C be an irreducible, reduced, non-degenerate curve, of arithmetic genus g and degree d, in the projective space \mathbf P⁴ over the complex field. Assume that C satisfies the following \it flag condition of type (s,t): C does not lie on any surface of degree

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