A Theorem On The Adjoint System For Higher-Dimensional Algebraic Varieties With Ample Vector Bundles

Let X be a smooth projective variety of dimension n, and E be a ample vector bundle of rank equal to n-2 such that K_X+c₁(E) is not nef and∧(E, K_X)≥2,then the pair (X,E) is one of the following:(1);(2);(3).Where Pⁿ is the projective space of dimension n, Qⁿ is an n-dimensional hyperquadric in Pⁿ⁺¹,O_X is the structure sheaf of X, O_X(m) is the m-twisted sheaf of O_X.