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Postulation of lines in P3 revisited

2024/11/18 by Dumnicki, Marcin, Van, Mikolaj Le, Malara, Grzegorz +3
#13D40 #13H15 #14C20 #14D06 #14N05 #14N15 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2411.11379

Abstract

The purpose of the present note is to provide a new proof ot the well-known result due to Hartshorne and Hirschowitz to the effect that general lines in projective spaces have good postulation. Our approach uses specialization to a hyperplane and thus opens door to study postulation of general codimension 2 linear subspaces in projective spaces.

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