An arithmetic analogue of Clifford's theorem

DOI10.5802/jtnb.311zbMath1069.11044OpenAlexW2334205662MaRDI QIDQ1826291

Richard P. Groenewegen

Publication date: 5 August 2004

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_2001__13_1_143_0

Mathematics Subject Classification ID

Algebraic numbers; rings of algebraic integers (11R04) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)

Related Items (7)

Counting algebraic points of bounded height on projective spaces ⋮ The size function for imaginary cyclic sextic fields ⋮ Computing dimensions of spaces of Arakelov divisors of number fields ⋮ Harder-Narasimhan theory for linear codes (with an appendix on Riemann-Roch theory) ⋮ The size function for quadratic extensions of complex quadratic fields ⋮ Euclidean lattices, theta invariants, and thermodynamic formalism ⋮ The size function for cyclic cubic fields

Cites Work

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• The size function \(h^0\) for quadratic number fields
• Effectivity of Arakelov divisors and the theta divisor of a number field

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