Arakelov theory of noncommutative arithmetic surfaces

Details Arakelov theory of noncommutative arithmetic surfaces Arakelov theory of noncommutative arithmetic surfaces

2008-01-08

arxiv.org/abs/0801.1225v2

Mathematics

Number Theory

20 pages

Scientific paper

The purpose of this paper is to initiate Arakelov theory in a noncommutative
setting. More precisely, we are concerned with noncommutative arithmetic
surfaces. We introduce a version of arithmetic intersection theory on
noncommutative arithmetic surfaces and we prove an arithmetic Riemann-Roch
theorem in this setup.

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