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Beskrivning
The purpose of this book is to build the fundament of an Arakelov theory over adelic curves in order to provide a unified framework for research on arithmetic geometry in several directions.
Introduction.- Metrized vector bundles: local theory.- Local metrics.- Adelic curves.- Vector bundles on adelic curves: global theory.- Slopes of tensor product.- Adelic line bundles on arithmetic varieties.- Nakai-Moishezon’s criterion.- Reminders on measure theory.