On the theory of Bott-Chern secondary characteristic classes with applications to singular metrics

DOI10.1007/s00229-023-01475-6OpenAlexW4372319958MaRDI QIDQ6201276

Mounir Hajli

Publication date: 20 February 2024

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-023-01475-6

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Arithmetic varieties and schemes; Arakelov theory; heights (14G40) Holomorphic bundles and generalizations (32L05)

Cites Work

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• Hermitian structures on the derived category of coherent sheaves
• The arithmetic Grothendieck-Riemann-Roch theorem for general projective morphisms
• Characteristic classes for algebraic vector bundles with Hermitian metric. II
• Characteristic classes for algebraic vector bundles with Hermitian metric. I
• Métriques sur les fibrés d'intersection. (Metrics on intersection fiber bundles)
• Determinants of Cauchy-Riemann operators on a Riemann surface
• Analytic torsion and holomorphic determinant bundles. I: Bott-Chern forms and analytic torsion. II: Direct images and Bott-Chern forms. III: Quillen metrics on holomorphic determinants
• The analysis of elliptic families. I: Metrics and connections on determinant bundles
• The analysis of elliptic families. II: Dirac operators, êta invariants, and the holonomy theorem
• Arithmetic intersection theory
• Computations of Bott-Chern classes on \(\mathbb{P}(E)\)
• An arithmetic Riemann-Roch theorem
• Generalized holomorphic analytic torsion
• The generalized holomorphic analytic torsion for the integrable line bundles
• Hermitian vector bundles and the equidistribution of the zeroes of their holomorphic section
• Analytic torsion for complex manifolds
• Géométrie d'Arakelov des variétés toriques et fibrés en droites intégrables
• Arithmetic geometry of toric varieties. Metrics, measures and heights

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