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

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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:	Higher adeles Geometric adelic structure on surfaces Higher topologies Non locally compact groups Linear topological selfduality Adelic Euler characteristic Intersection pairing Riemann–Roch theorem
Online Access:	https://eprints.nottingham.ac.uk/30393/

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