On curves over valuation rings and morphisms to \(\mathbb{P}^ 1\)

DOI10.1006/jnth.1996.0098zbMath0873.14038OpenAlexW2093083026MaRDI QIDQ1924253

Barry W. Green

Publication date: 30 October 1997

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.1996.0098

zbMATH Keywords

function fieldvalued fieldcanonical projective curvegeometric henselian extension

Mathematics Subject Classification ID

Arithmetic algebraic geometry (Diophantine geometry) (11G99) Surfaces and higher-dimensional varieties (14J99) Valuation rings (13F30) Valued fields (12J10) Curves in algebraic geometry (14H99)

Related Items (9)

The Zariski-Riemann Space of Valuation Rings ⋮ Desingularization of Arithmetic Surfaces: Algorithmic Aspects ⋮ Finite morphisms to projective space and capacity theory ⋮ On the projectivity of proper normal curves over valuation domains ⋮ Geometric families of constant reductions and the Skolem property ⋮ REGULAR LOCAL ALGEBRAS OVER VALUATION DOMAINS: WEAK DIMENSION AND REGULAR SEQUENCES ⋮ On the integral closure of polynomial rings over a valuation domain ⋮ Divisors on varieties over valuation domains. ⋮ Higher adeles and non-abelian Riemann-Roch

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