Numerical characterization of nef arithmetic divisors on arithmetic surfaces (Q476081)
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scientific article
| Language | Label | Description | Also known as |
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| English | Numerical characterization of nef arithmetic divisors on arithmetic surfaces |
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Numerical characterization of nef arithmetic divisors on arithmetic surfaces (English)
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28 November 2014
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The paper under review deals with Arakelov theory on arithmetic surfaces, and especially with a generalisation of the Hodge-index theorem. Namely the main result is an upper bound for the self-intersection of a nef Cartier divisor. The proof uses the Zariski decomposition developed previously by the author [Publ. Res. Inst. Math. Sci. 48, No. 4, 799--898 (2012; Zbl 1281.14017)].
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Arakelov theory
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arithmetic surfaces
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