On the rank of quadratic equations of projective varieties
Speaker: Euisung Park (Korea University)

Time: 14:00, Friday, 3/6/2022

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Abstract: For many classical varieties such as Segre-Veronese embeddings, rational normal scrolls and curves of high degree, the defining homogeneous ideal can be generated by quadratic polynomials of rank 3 and 4. In this talk, I will speak about the question whether those ideals can be generated by quadratic polynomials of rank 3. We prove that the ideal of the Veronese variety has this property and explain the geometric structure of the rank 3 locus as a projective algebraic set.

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