PROJECTIONS OF ALGEBRAIC VARIETIES WITH ALMOST LINEAR PRESENTATION II

Abstract

Let X be a nondegenerate reduced closed subscheme in Pn. Assume that πq : X → Y = πq(X) ⊂ Pn−1 is a generic projection from the center q ∈ Sec(X) \ X where Sec(X) = Pn. Let Z be the singular locus of the projection πq(X) ⊂ Pn−1. Suppose that IX has the almost minimal presentation, which is of the form R(−3)β2,1 ⊕ R(−4) → R(−2)β1,1 → IX → 0.

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