Distance functions on varieties over non-archimedian local fields

DOI10.1216/rmjm/1181071930zbMath0920.14008OpenAlexW2016636920MaRDI QIDQ1382732

José Felipe Voloch

Publication date: 3 May 1998

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/VOL27-2/CONT27-2/CONT27-2.html

zbMATH Keywords

distance functionapproximation by rational pointsvariety over a complete nonarchimedean field

Mathematics Subject Classification ID

Local ground fields in algebraic geometry (14G20) Varieties over finite and local fields (11G25) Arithmetic varieties and schemes; Arakelov theory; heights (14G40) Topological properties in algebraic geometry (14F45)

Cites Work

• Integrality of torsion points on abelian varieties over \(p\)-adic fields
• Lectures on forms of higher degree. Notes by S. Raghavan
• Arithmetic distance functions and height functions in diophantine geometry
• Diophantine approximations and value distribution theory
• Capacity theory on algebraic curves
• Rational points in Henselian discrete valuation rings
• Some applications of a theorem of Chevalley
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