The pairing CH (X) x Z.(X) ~ CH (Spec(&'K))Q 2.3.1. Definition and basic properties 2.3.2. Arakelov varieties and arithmetic fundamental classes 2.3.3. External products 2.3.4. Degrees 3. The height of cycles defined by an hermitian line bundle 3.1. Definition and examples 3.1.1. The height hr 3.
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