Regularized determinants of Laplacians for Hermitian line bundles over projective spaces

DOI10.1215/kjm/1250518700zbMath0847.14002OpenAlexW1503638726MaRDI QIDQ1912814

Lin Weng

Publication date: 15 October 1996

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250518700

zbMATH Keywords

Quillen metricarithmetic Riemann-Roch theoremregularized determinantsBott-Chern secondary characteristic class

Mathematics Subject Classification ID

Determinantal varieties (14M12) Riemann-Roch theorems (14C40) Characteristic classes and numbers in differential topology (57R20) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Vector bundles on curves and their moduli (14H60) Determinants and determinant bundles, analytic torsion (58J52) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)

Related Items (2)

Quantum Hall effect and Quillen metric ⋮ On the spectral zeta functions of the Laplacians on the projective complex spaces and on the \(n\)-spheres

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