Classification of polarized manifolds by the second sectional Betti number, II

Let X be an n-dimensional smooth projective variety defined over the field of complex numbers, let L be a very ample line bundle on X. Then we classify (X,L) with b_2(X,L) = h^2(X,C) + 2, where b_2(X,L) is the second sectional Betti number of (X,L). Let $X$ be an $n$-dimensional smooth projective variety defined over the field of complex numbers, let $L$ be a very ample line bundle on $X$. Then we classify $(X,L)$ with $b_{2}(X,L)=h^{2}(X,\mathbb{C})+2$, where $b_{2}(X,L)$ is the second sectional Betti number of $(X,L)$.}