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 |
| _version_ | 1811276288744226816 |
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| author | Yoshiaki Fukuma |
| author_facet | Yoshiaki Fukuma |
| author_sort | Yoshiaki Fukuma |
| collection | DOAJ |
| description | 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)). |
| first_indexed | 2024-04-12T23:53:54Z |
| format | Article |
| id | doaj.art-88245bdbb3454eb98ae2096401634d97 |
| institution | Directory Open Access Journal |
| issn | 1120-7183 2532-3350 |
| language | English |
| last_indexed | 2024-04-12T23:53:54Z |
| publishDate | 2018-01-01 |
| publisher | Sapienza Università Editrice |
| record_format | Article |
| series | Rendiconti di Matematica e delle Sue Applicazioni |
| spelling | doaj.art-88245bdbb3454eb98ae2096401634d972022-12-22T03:11:35ZengSapienza Università EditriceRendiconti di Matematica e delle Sue Applicazioni1120-71832532-33502018-01-013997131New invariants of ample vector bundles over smooth projective varieties.Yoshiaki Fukuma0Kochi UniversityLet 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)).http://www1.mat.uniroma1.it/ricerca/rendiconti/39_1_(2018)_97-131.htmlAmple vector bundlepolarized manifoldclassical scrollsectional genus |
| spellingShingle | Yoshiaki Fukuma New invariants of ample vector bundles over smooth projective varieties. Rendiconti di Matematica e delle Sue Applicazioni Ample vector bundle polarized manifold classical scroll sectional genus |
| title | New invariants of ample vector bundles over smooth projective varieties. |
| title_full | New invariants of ample vector bundles over smooth projective varieties. |
| title_fullStr | New invariants of ample vector bundles over smooth projective varieties. |
| title_full_unstemmed | New invariants of ample vector bundles over smooth projective varieties. |
| title_short | New invariants of ample vector bundles over smooth projective varieties. |
| title_sort | new invariants of ample vector bundles over smooth projective varieties |
| topic | Ample vector bundle polarized manifold classical scroll sectional genus |
| url | http://www1.mat.uniroma1.it/ricerca/rendiconti/39_1_(2018)_97-131.html |
| work_keys_str_mv | AT yoshiakifukuma newinvariantsofamplevectorbundlesoversmoothprojectivevarieties |