Cayley Forms and Self-Dual Varieties

作者: F. Catanese

DOI: 10.1017/S0013091513000928

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摘要: Generalized Chow forms were introduced by Cayley for the case of 3-space, their zero set on Grassmannian G(1,3) is either Z lines touching a given space curve (the `honest' form), or tangent to surface. gave some equations F be generalized form, which should hold modulo ideal generated and quadratic equation Q G(1,3). Our main result that form if only = \cap {F=0} equal its dual variety. We also show variety defined equations, since there unique representative F_0 + F_1 F, with F_0, harmonic, such harmonic projection identically zero. give new honest forms, but calculations does not seem cubic equations.

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