The variety of polar simplices II

arXiv2304.00533MaRDI QIDQ6509460

Joachim Jelisiejew, Kristian Ranestad, Frank-Olaf Schreyer

Abstract: We discuss the space $VPS(Q,H)$ of ideals with Hilbert function $H=(1,n,n,ldots)$ that are apolar to a full rank quadric $Q$. We prove that its components of saturated ideals are closely related to the locus of Gorenstein algebras and to the Slip component in border apolarity. We also point out an important error in~cite{RS} and provide the necessary corrections.

Mathematics Subject Classification ID

Parametrization (Chow and Hilbert schemes) (14C05) Fano varieties (14J45)

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