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math.AG2010
Non-abelian reciprocity laws on a Riemann surface
Ivan Horozov
On a Riemann surface there are relations among the periods of holomorphic differential forms, called Riemann's relations. If one looks carefully in Riemann's proof, one notices tha…
math.AG2010★ 4 cited
A refinement of the Parshin symbol for surfaces
Ivan Horozov
On an algebraic curve there are Tate symbols, which satisfy Weil reciprocity law. The analogues in higher dimensions are the Parshin symbols, which satisfy Kato-Parshin reciprocity…