15/04/18 07:15:09.68 LskGPWAB.net
>>122 補足
MITのページがあった
URLリンク(math.mit.edu)
MIT 18.782 - Arithmetic Geometry Instructor: Andrew Sutherland, Grader: John Binder, Term: Fall 2013
COURSE DESCRIPTION
Arithmetic geometry lies at the intersection of algebraic geometry and number theory.
Its primary focus is the analysis of diophantine equations (x^n + y^n = z^n, for example), both from an algebraic and a geometric perspective.
See the course outline for a list of planned topics. URLリンク(math.mit.edu)
URLリンク(math.mit.edu)
URLリンク(math.mit.edu) 12.1 Field extensions
URLリンク(math.mit.edu)
(補足 上記URL中のLectureNotes12.pdfなどで番号を変えると、別のPDFが出るが、なぜかLectureNotes1.pdfだけ出ない
それはともかく、LectureNotes12.pdf 12.1 Field extensionsに超越拡大がある)
(Definition 12.3. The transcendence degree of a eld extension L=K is the cardinality of any (hence every) transcendence basis for L=k.で L=K→L=kだな。すぐ分かるけど )