Field of Definition - Further Reading

Further Reading

• Fried, Michael D.; Moshe Jarden (2005). Field Arithmetic. Springer. pp. 780. doi:10.1007/b138352. ISBN 3-540-22811-X.
  • The terminology in this article matches the terminology in the text of Fried and Jarden, who adopt Weil's nomenclature for varieties. The second edition reference here also contains a subsection providing a dictionary between this nomenclature and the more modern one of schemes.
• Kunz, Ernst (1985). Introduction to Commutative Algebra and Algebraic Geometry. Birkhäuser. pp. 256. ISBN 0-8176-3065-1.
  • Kunz deals strictly with affine and projective varieties and schemes but to some extent covers the relationship between Weil's definitions for varieties and Grothendieck's definitions for schemes.
• Mumford, David (1999). The Red Book of Varieties and Schemes. Springer. pp. 198–203. doi:10.1007/b62130. ISBN 3-540-63293-X.
  • Mumford only spends one section of the book on arithmetic concerns like the field of definition, but in it covers in full generality many scheme-theoretic results stated in this article.