New invariants of ample vector bundles over smooth projective varieties.
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 c_1(E)^n and the sectiona...
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| Format: | Article |
| Language: | English |
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Sapienza Università Editrice
2018-01-01
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| Series: | Rendiconti di Matematica e delle Sue Applicazioni |
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| Online Access: | http://www1.mat.uniroma1.it/ricerca/rendiconti/39_1_(2018)_97-131.html |
| Summary: | 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 c_1(E)^n and the sectional genus g(X, c_1(E)) of (X, c_1(E)). |
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| ISSN: | 1120-7183 2532-3350 |