Geometric families of constant reductions and the Skolem property

DOI10.1090/S0002-9947-98-02094-7zbMath0904.12005MaRDI QIDQ4382967

Barry W. Green

Publication date: 24 March 1998

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

function fieldSkolem propertyconstant reductionbirational characterization of arithmetic surfacesgeometric familyprincipal familyvaluation prolongation

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Arithmetic ground fields for surfaces or higher-dimensional varieties (14J20) Global ground fields in algebraic geometry (14G25) Valued fields (12J10)

Related Items (3)

Finite morphisms to projective space and capacity theory ⋮ Hypersurfaces in projective schemes and a moving lemma ⋮ Higher adeles and non-abelian Riemann-Roch

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On valued function fields. I
• Simple transcendental extensions of valued fields. III: The uniqueness property
• Capacity theory on algebraic curves
• On Grothendieck's conjecture of birational anabelian geometry
• On Rumely's local-global principle
• On curves over valuation rings and morphisms to \(\mathbb{P}^ 1\)
• A Structure Theorem for Simple Transcendental Extensions of Valued Fields
• On the Galois Theory of function fields of one variable over number fields.
• Groupes de Picard et problèmes de Skolem. I
• Arithmetic over the rings of all algebraic integers.
• Reciprocity in valued function fields.
• Zur Theorie der Konstantenreduktion algebraischer Mannigfaltigkeiten. Invarianz des arithmetischen Geschlechts einer Mannigfaltikgeit und der virutellen Dimension ihrer Divisoren.
• Rings of Krull type.

This page was built for publication: Geometric families of constant reductions and the Skolem property