Algebraic Numbers and Algebraic Functions

By E. Artin. 2006

191 citations recorded by the source corpus.

Subfields: Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/076008061ac86d187dbe55f54b4ba8ceae64896a

How researchers see this paper

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In Geometry and Topology

1. Y. Ostrover
2. 'Alvaro Lozano-Robledo
3. Alexandra Shlapentokh
4. Joseph H. Silverman
5. R. Leclercq
6. Franccois Berteloot
7. Shu Kawaguchi
8. Yong-Geun Oh

Citations in the corpus

• Hilbert's Tenth Problem (2006, background): “Le f (t) be the monic irreducible polynomial of γ over CM and M (it must be the same by Theorem 11, Section 3, Chapter XV of [1]).”
• The Arithmetic of Dynamical Systems (2007, background): “A concise and updated proof of this result, along with other details concerning the process of completion, may be found in [5] or [7].”
• Calabi quasi-morphisms for some non-monotone symplectic manifolds (2005, methodology): “For preliminaries on non-Archimedean geometry we refer the readers to [2].”
• On the field of definition of $$p$$-torsion points on elliptic curves over the rationals (2013, background): “By the properties of Newton polygons ([1], Ch.”