Remarks on Seshadri constants of vector bundles

Christopher Hacon

Displaying similar documents to “Remarks on Seshadri constants of vector bundles”

Ample vector bundles

Robin Hartshorne (1966)

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Ample vector bundles with sections vanishing along conic fibrations over curves.

Tommaso De Fernex (1998)

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Geometric genera for ample vector bundles with regular sections.

Antonio Lanteri (2000)

Revista Matemática Complutense

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Let X be a smooth complex projective variety of dimension n ≥ 3. A notion of geometric genus p(X,E) for ample vector bundles E of rank r < n on X admitting some regular sections is introduced. The following inequality holds: p(X,E) ≥ h(X). The question of characterizing equality is discussed and the answer is given for E decomposable of corank 2. Some conjectures suggested by the result are formulated.