Orbifold Submersion and Analytic Torsions (Q5018391)

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scientific article; zbMATH DE number 7446471

Language	Label	Description	Also known as
English	Orbifold Submersion and Analytic Torsions	scientific article; zbMATH DE number 7446471

Statements

scholarly article

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Orbifold Submersion and Analytic Torsions (English)

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Arithmetic L-Functions and Differential Geometric Methods

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publication date

16 December 2021

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zbMATH Keywords

analytic torsion

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orbifold

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/978-3-030-65203-6_6

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Quillen metrics and higher analytic torsion forms.

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The Atiyah-Singer index theorem for families of Dirac operators: Two heat equation proofs

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Equivariant immersions and Quillen metrics

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η-Invariants and Their Adiabatic Limits

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The analysis of elliptic families. I: Metrics and connections on determinant bundles

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The analysis of elliptic families. II: Dirac operators, êta invariants, and the holonomy theorem

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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

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Complex immersions and Quillen metrics

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Holomorphic immersions and equivariant torsion forms

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Generalized holomorphic analytic torsion

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The arithmetic Grothendieck-Riemann-Roch theorem for general projective morphisms

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Comparison between two analytic torsions on orbifolds

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Analytic torsion and the arithmetic Todd genus. (With an appendix by D. Zagier)

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An arithmetic Riemann-Roch theorem

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An arithmetic Riemann-Roch theorem in higher degrees

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The signature theorem for V-manifolds

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The Riemann-Roch theorem for complex V-manifolds

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The projectivity of the moduli space of stable curves. I: Preliminaries on "det" and "Div".

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A fixed point formula of Lefschetz type in Arakelov geometry. I: Statement and proof

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Formes de torsion analytique et familles des submersions I

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Analytic torsion forms and families of submersions. II

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Submersions and equivariant Quillen metrics

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Orbifolds and analytic torsions

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Holomorphic Morse inequalities and Bergman kernels

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On a canonical class of Green currents for the unit sections of abelian schemes

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Determinants of Cauchy-Riemann operators on a Riemann surface

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Analytic torsion for complex manifolds

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The Gauss-Bonnet theorem for \(V\)-manifolds

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\(K3\) surfaces with involution, equivariant analytic torsion, and automorphic forms on the moduli space

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K3 surfaces with involution, equivariant analytic torsion, and automorphic forms on the moduli space, II: A structure theorem for r(M) > 10

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Analytic Torsion for Borcea–Voisin Threefolds

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Identifiers

zbMATH Open document ID

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10.1007/978-3-030-65203-6_6

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5018391

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