Units in number fields satisfying a multiplicative relation with application to Oeljeklaus-Toma manifolds

DOI10.1007/s00025-021-01396-4zbMath1472.11275OpenAlexW3141537097MaRDI QIDQ2038628

Arturas Dubickas

Publication date: 7 July 2021

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-021-01396-4

zbMATH Keywords

unitsirreducibilitypluriclosed metricsOeljeklaus-Toma manifoldstotally real Galois extensions

Mathematics Subject Classification ID

Units and factorization (11R27) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Cubic and quartic extensions (11R16) Algebraic numbers; rings of algebraic integers (11R04)

Related Items (2)

Special Hermitian metrics on Oeljeklaus–Toma manifolds ⋮ On metric and cohomological properties of Oeljeklaus-Toma manifolds

Cites Work

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• Elementary criteria for irreducibility of \(f(X^r)\)
• An explicit formula for the fundamental units of a real pure sextic number field and its Galois closure
• Non-Kähler compact complex manifolds associated to number fields.
• On the non-existence of static pluriclosed metrics on non-Kähler minimal complex surfaces
• Oeljeklaus-Toma manifolds and arithmetic invariants
• Flat affine subvarieties in Oeljeklaus-Toma manifolds
• De Rham and twisted cohomology of Oeljeklaus-Toma manifolds
• Oeljeklaus-Toma manifolds admitting no complex subvarieties
• Nonreciprocal units in a number field with an application to Oeljeklaus-Toma manifolds
• ON THE REMAK HEIGHT, THE MAHLER MEASURE AND CONJUGATE SETS OF ALGEBRAIC NUMBERS LYING ON TWO CIRCLES
• On the existence of balanced and SKT metrics on nilmanifolds
• LCK metrics on Oeljeklaus-Toma manifolds versus Kronecker's theorem
• The Chern–Ricci Flow on Oeljeklaus–Toma Manifolds
• Problems in Algebraic Number Theory
• Vaisman metrics on solvmanifolds and Oeljeklaus-Toma manifolds
• Holomorphic Line Bundles Over Domains in Cousin Groups and the Algebraic Dimension of Oeljeklaus-Toma Manifolds

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