Riemann-Roch and Riemann-Hurwitz theorems for global fields

Details Riemann-Roch and Riemann-Hurwitz theorems for global fields Riemann-Roch and Riemann-Hurwitz theorems for global fields

2009-10-20

arxiv.org/abs/0910.3898v1

Mathematics

Number Theory

Scientific paper

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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