A foliated analogue of one- and two-dimensional Arakelov theory

DOI10.1007/s12188-011-0061-4zbMath1266.53031OpenAlexW2014826618MaRDI QIDQ691973

Fabian Kopei

Publication date: 4 December 2012

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12188-011-0061-4

zbMATH Keywords

Grothendieck-Riemann-Roch theoremRiemann-Hurwitz formulaReeb foliationArakelov adjunction formulafoliated metrized spaces

Mathematics Subject Classification ID

Periodic orbits of vector fields and flows (37C27) Foliations (differential geometric aspects) (53C12) Algebraic numbers; rings of algebraic integers (11R04) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)

Cites Work

• Riemann's mapping theorem for variable metrics
• Real polarizable Hodge structures arising from foliations
• Scaling group flow and Lefschetz trace formula for laminated spaces with \(p\)-adic transversal
• Exchanging the places \(p\) and \(\infty\) in the Leopoldt conjecture
• A REMARK ON A RELATION BETWEEN FOLIATIONS AND NUMBER THEORY
• On tangential cohomology of Riemannian foliations
• Weyl's Lemma, one of many
• LAMINATIONS DANS LES ESPACES PROJECTIFS COMPLEXES
• Number theory and dynamical systems on foliated spaces
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