Volume 39_1_(2018)_97-131

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