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arXiv · 0801.1225

Arakelov theory of noncommutative arithmetic surfaces

Thomas Borek
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Abstract

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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Thomas Borek. 2008-03-24. Arakelov theory of noncommutative arithmetic surfaces. https://arxiv.org/abs/0801.1225

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