New invariants of ample vector bundles over smooth projective varieties.
Yoshiaki Fukuma

Abstract. Let X be a complex smooth projective variety of dimension n, and let E be an ample vector bundle on X. In this paper, we will introduce new invariants of generalized polarized manifolds (X,E), and we will study their properties. As an application, we study a lower bound for c₁(E)ⁿ and the sectional genus g(X, c₁(E)) of (X, c₁(E))

Rend. Mat. Appl. (7) 39 (2018) 97-131; pdf