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$K3$ surfaces with involution and analytic torsion (Q3298321)

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Language	Label	Description	Also known as
English	$K3$ surfaces with involution and analytic torsion	scientific article

Statements

scholarly article

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$K3$ surfaces with involution and analytic torsion (English)

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Ken-Ichi Yoshikawa

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Sugaku Expositions

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publication date

14 July 2020

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full work available at URL

https://arxiv.org/abs/math/9808129

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zbMATH Keywords

analytic torsion

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\(K3\) surfaces

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Borcherd's products

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MaRDI profile type

MaRDI publication profile

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Del Pezzo and \(K3\) surfaces

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Theta functions, modular invariance, and strings

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Compactification of arithmetic quotients of bounded symmetric domains

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Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes

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Equivariant immersions and Quillen metrics

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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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Monstrous moonshine and monstrous Lie superalgebras

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The moduli space of Enriques surfaces and the fake monster Lie superalgebra

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Automorphic forms with singularities on Grassmannians

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Families of K3 surfaces

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Stability conditions on \(K3\) surfaces

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On the Picard group of Enriques surfaces

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Analytic torsion for Calabi-Yau threefolds

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Kernel functions, analytic torsion, and moduli spaces

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Deformation classes of real four-dimensional cubic hypersurfaces

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Modular forms for the even modular lattice of signature (2,10)

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Octavic theta series

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An arithmetic Riemann-Roch theorem

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Reflective modular forms and applications

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The Kodaira dimension of the moduli of \(K3\) surfaces

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Arithmetic of singular Enriques surfaces

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Chow polytopes and general resultants

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Resultants and the Borcherds Φ-Function

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

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Arithmetic moduli and lifting of Enriques surfaces

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Compactifications defined by arrangements. II: Locally symmetric varieties of type IV

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The unirationality of the moduli spaces of 2-elementary <i>K</i> 3 surfaces

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Rationality of the moduli spaces of 2-elementary 𝐾3 surfaces

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On the Kodaira dimension of orthogonal modular varieties

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<i>K</i>3 surfaces with involution, equivariant analytic torsion, and automorphic forms on the moduli space IV: The structure of the invariant

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Submersions and equivariant Quillen metrics

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Thomae type formula for K3 surfaces given by double covers of the projective plane branching along six lines

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INTEGRAL SYMMETRIC BILINEAR FORMS AND SOME OF THEIR APPLICATIONS

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Factor groups of groups of automorphisms of hyperbolic forms with respect to subgroups generated by 2-reflections. Algebro-geometric applications

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Analytic torsion for complex manifolds

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The fake monster superalgebra

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Borcherds forms and generalizations of singular moduli

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On Epstein's Zeta-function.

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Every K 3 surface is Kähler

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Compactifications of the period space of Enriques surfaces. I

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Stable pairs on local \(K3\) surfaces

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On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I

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Gluing formulas for determinants of Dolbeault Laplacians on Riemann surfaces

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Hypergeometric Functions, My Love

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

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Real \(K3\) surfaces without real points, equivariant determinant of the Laplacian, and the Borcherds \(\Phi\)-function

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Analytic torsion for Borcea-Voisin threefolds

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\(K3\) surfaces with involution, equivariant analytic torsion, and automorphic forms on the moduli space. III: The case \(r(M) \geq 18\)

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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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Degenerations of Calabi–Yau threefolds and BCOV invariants

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1090/SUGA/449

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Sitelinks

Mathematics(1 entry)

mardi Publication:3298321

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