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Homogeneous projective varieties with degenerate secants

Homogeneous projective varieties with degenerate secants

The secant variety of a projective variety $X$ in $\mathbb {P}$, denoted by $\operatorname {Sec}X$, is defined to be the closure of the union of lines in $\mathbb {P}$ passing through at least two points of $X$, and the secant deficiency of $X$ is defined by $\delta := 2 \dim …