Geometric adeles and the Riemann-Roch theorem for 1-cycles on surfaces

The classical Riemann–Roch theorem for projective irreducible curves over perfect fields can be elegantly proved using adeles and their topological self-duality. This was known already to E. Artin and K. Iwasawa and can be viewed as a relation between adelic geometry and algebraic geometry in dimens...

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Bibliographic Details
Main Author: Fesenko, Ivan
Format: Article
Published: Independent University of Moscow 2015
Subjects:
Online Access:https://eprints.nottingham.ac.uk/30393/