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Rendiconti di Matematica e delle sue Applicazioni
ISSN 1120-7183 (print)
ISSN 2532-3350 (online)
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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 file pdf