Arakelov theory of noncommutative arithmetic surfaces

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dc.creatorBorek, Thomas
dc.date2008-01-08
dc.date2008-03-24
dc.date.accessioned2026-07-07T09:27:49Z
dc.date.available2026-07-07T09:27:49Z
dc.descriptionThe 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.
dc.description20 pages
dc.identifierhttps://arxiv.org/abs/0801.1225
dc.identifierhttp://arxiv.org/abs/0801.1225
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/157238
dc.subjectNumber Theory
dc.subjectAlgebraic Geometry
dc.subject14G40 (Primary), 14A22 (Secondary)
dc.titleArakelov theory of noncommutative arithmetic surfaces
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