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 Título Developable cubics in $\mathbb P^4$ and the Lefschetz locus in $GOR(1,5,5,1)$ Expositor Rodrigo Gondim UFRPE Data Quarta-feira, 22 de janeiro de 2020, 15:00 Local Sala 228 Resumo

We provide a classification of developable cubic hypersurfaces in $\mathbb P^4$. Using the correspondence between forms of degree $3$ on $\mathbb P^4$ and Artinian Gorenstein $K$-algebras, given by Macaulay-Matlis duality,  we describe the locus in $GOR(1,5,5,1)$ corresponding to those algebras which satisfy the Strong Lefschetz property. It is the first instance where this locus was completely described.