Riemann-Roch isometries in the non-compact orbifold setting

DOI10.4171/JEMS/992zbMath1470.14021arXiv1604.00284MaRDI QIDQ2216742

Gerard Freixas i Montplet, Anna-Maria von Pippich

Publication date: 17 December 2020

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.00284

zbMATH Keywords

Fuchsian groupArakelov geometrySelberg zeta functionQuillen metricRiemann-Roch theoremL-functionsDirichlet-to-Neumannanalytic surgeryMayer-Vietoris

Mathematics Subject Classification ID

Riemann-Roch theorems (14C40) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43) Determinants and determinant bundles, analytic torsion (58J52) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)

Related Items (5)

Determinant of Friedrichs Dirichlet Laplacians on 2-dimensional hyperbolic cones ⋮ Analytic torsion for surfaces with cusps. I: Compact perturbation theorem and anomaly formula ⋮ Resolvent trace formula and determinants of \(n\) Laplacians on orbifold Riemann surfaces ⋮ Local index theorem for orbifold Riemann surfaces ⋮ The arithmetic Riemann-Roch theorem and the Jacquet-Langlands correspondence

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