Covolumes, units, regulator: conjectures by D. Bertrand and F. Rodriguez-Villegas

DOI10.1007/s40316-019-00128-zzbMath1470.11183OpenAlexW2961564895WikidataQ123154401 ScholiaQ123154401MaRDI QIDQ2022902

Francesco Amoroso, Sinnou David

Publication date: 30 April 2021

Published in: Annales Mathématiques du Québec (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40316-019-00128-z

zbMATH Keywords

regulatorheightsgeometry of numbersLehmer's problem

Mathematics Subject Classification ID

Units and factorization (11R27) Heights (11G50) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06)

Related Items (2)

Large algebraic integers ⋮ On Bertrand's and Rodriguez Villegas' higher-dimensional Lehmer conjecture

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Minima, slopes and tensor algebra
• Concerning the semistability of tensor products in Arakelov geometry
• Small points on rational subvarieties of tori
• On nef and semistable Hermitian lattices, and their behaviour under tensor product
• Ideale kleiner Norm in Idealklassen und eine Regulatorabschätzung
• Eine Regulatorabschätzung
• Relative regulators of number fields
• Factorization of certain cyclotomic functions
• A lower bound for the height in abelian extensions
• Slopes of adelic vector bundles over global fields
• A refinement of two theorems of Kronecker
• On the heights of totally \(p\)-adic numbers
• A note on heights in certain infinite extensions of \(\mathbb Q\)
• Ratios of regulators in totally real extensions of number fields
• Torsion points on elliptic curves in Weierstrass form
• On a question of Lehmer and the number of irreducible factors of a polynomial
• Le problème de Lehmer en dimension supérieure
• An effective lower bound for the height of algebraic numbers
• Small totally p-adic algebraic numbers
• On the product of the conjugates outside the unit circle of an algebraic number
• On fields with Property (B)

This page was built for publication: Covolumes, units, regulator: conjectures by D. Bertrand and F. Rodriguez-Villegas