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Developable cubics in \mathbb P4 and the Lefschetz locus in \rm GOR(1,5,5,1)

2020/02/20 by Fassarella, Thiago, Ferrer, Viviana, Gondim, Rodrigo
#14C17 #14E05 #16E65 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2002.08995

Abstract

We provide a classification of developable cubic hypersurfaces in \mathbb P4. Using the correspondence between forms of degree 3 on \mathbb P4 and Artinian Gorenstein \mathbb K-algebras, given by Macaulay-Matlis duality, we describe the locus in \rm GOR(1,5,5,1) corresponding to those algebras which satisfy the Strong Lefschetz property.

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