Riemann-Roch and Riemann-Hurwitz theorems for global fields

2009/10/20 by Stella Anevski, Anevski, Stella
Mathematics · #11R99 #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11R99

paper · pdf · doi:10.48550/arxiv.0910.3898

arxiv created 2009/10/20 · arxiv updated 2009/12/01

Abstract

In this paper, we use counting theorems from the geometry of numbers to extend the Riemann-Roch theorem and the Riemann-Hurwitz formula to global fields of arbitrary characteristic.

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