Topics in the Theory of Algebraic Function Fields

出版者:Springer Verlag

作者:Villa-Salvador, Gabriel Daniel

页数:670

出版时间:2006-7

价格:$ 123.17

装帧:HRD

isbn号码:9780817644802

图书标签:数学代数几何λMathLP2019

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The fields of algebraic functions of one variable appear in several areas of mathematics: complex analysis, algebraic geometry, and number theory. This text adopts the latter perspective by applying an arithmetic-algebraic viewpoint to the study of function fields as part of the algebraic theory of numbers. The examination explains both the similarities and fundamental differences between function fields and number fields, including many exercises and examples to enhance understanding and motivate further study. The only prerequisites are a basic knowledge of field theory, complex analysis, and some commutative algebra.