On sectional genus of \(k\)-very ample line bundles on smooth surfaces with non-negative Kodaira dimension A classification of polarized surfaces \((X,L)\) with \(\kappa(X)\geq 0,\,\dim \text{Bs}| L|\leq 0,\, g(L)=q(X)+m\), and \(h^0(L)=m+1\). 