Analytic torsion for surfaces with cusps. II: Regularity, asymptotics and curvature theorem
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Publication:2213789
DOI10.1016/j.aim.2020.107409zbMath1453.58010arXiv1812.11739OpenAlexW3085646884MaRDI QIDQ2213789
Publication date: 3 December 2020
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1812.11739
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Cites Work
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- An arithmetic Hilbert-Samuel theorem for pointed stable curves
- Arithmetic characteristic classes of automorphic vector bundles
- The hyperbolic metric and the geometry of the universal curve
- Determinant fiber bundles, Quillen metric and degeneracy of curves.
- Cusps and the family hyperbolic metric
- A local families index formula for \({\overline{\partial}}\)-operators on punctured Riemann surfaces
- On the homology of the moduli space of stable curves
- Chern forms and the Riemann tensor for the moduli space of curves
- 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
- Analytic torsion and the arithmetic Todd genus. (With an appendix by D. Zagier)
- The extension of the Weil-Petersson metric to the boundary of Teichmüller space
- Hirzebruch's proportionality theorem in the non-compact case
- Nonlinear hyperbolic equations, spectral theory, and wavelet transformations. A volume of Advances in Partial Differential Equations
- \(K3\) surfaces with involution, equivariant analytic torsion, and automorphic forms on the moduli space
- Analytic torsion for surfaces with cusps. I: Compact perturbation theorem and anomaly formula
- A local index theorem for families of \({\bar \partial}\)-operators on punctured Riemann surfaces and a new Kähler metric on their moduli spaces
- An arithmetic Riemann-Roch theorem
- Holomorphic Morse inequalities and Bergman kernels
- The first Chern form on moduli of parabolic bundles
- Analytic torsion for complex manifolds
- Le théorème de Riemann-Roch
- Spectral Theory for Riemannian Manifolds with Cusps and a Related Trace Formula
- The projectivity of the moduli space of stable curves, II: The stacks $M_{g,n}$
- COHOMOLOGICAL ARITHMETIC CHOW RINGS
- An arithmetic Riemann-Roch theorem for pointed stable curves
- On the Weil-Petersson Geometry of the Moduli Space of Curves
- On Obtaining a Positive Line Bundle from the Weil-Petersson Class
- Combinatorial and algebro-geometric cohomology classes on the moduli spaces of curves
- The projectivity of the moduli space of stable curves. I: Preliminaries on "det" and "Div".
- Analyticity of sets associated to Lelong numbers and the extension of meromorphic maps
- Complex powers and asymptotic expansions. I. Functions of certain types.
- Dynamics in several complex variables: endomorphisms of projective spaces and polynomial-like mapping
- Boundary Behaviour of Weil–Petersson and Fibre Metrics for Riemann Moduli Spaces
- Bergman kernels on punctured Riemann surfaces
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