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math.AG2012★ 8 cited
Higher adeles and non-abelian Riemann-Roch
T. Chinburg, G. Pappas, M. J. Taylor
We show a Riemann-Roch theorem for group ring bundles over an arithmetic surface; this is expressed using the higher adeles of Beilinson-Parshin and the tame symbol via a theory of…
math.AG2012
Finite Morphisms to Projective Space and Capacity Theory
Ted Chinburg, Laurent Moret-Bailly, Georgios Pappas +1
We study conditions on a commutative ring R which are equivalent to the following requirement; whenever X is a projective scheme over S = Spec(R) of fiber dimension \leq d for some…