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- W4313854780 abstract "This paper deals with Arakelov vector bundles over an arithmetic curve, i.e. over the set of places of a number field. The main result is that for each semistable bundle E, there is a bundle F such that $E otimes F$ has at least a certain slope, but no global sections. It is motivated by an analogous theorem of Faltings for vector bundles over algebraic curves and contains the Minkowski-Hlawka theorem on sphere packings as a special case. The proof uses an adelic version of Siegel's mean value formula." @default.
- W4313854780 created "2023-01-10" @default.
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- W4313854780 date "2003-04-02" @default.
- W4313854780 modified "2023-09-25" @default.
- W4313854780 title "Stability of Arakelov bundles and tensor products without global sections" @default.
- W4313854780 doi "https://doi.org/10.48550/arxiv.math/0304017" @default.
- W4313854780 hasPublicationYear "2003" @default.
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