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Diophantische Geometrie (SS 2019)

Diophantische Geometrie

Vorlesung Sommersemester 2019

Allgemeine Informationen

  • Vorlesung
    • Di 10-12 (Übungsraum 5), Fr 8-10 (Übungsraum 5)
    • Beginn: 23.4.2019, Ende: 26.7.2019
    • Vorlesungsfrei: 11.6.2019 (Pfingstdienstag)
  • Übungen
    • Fr 10-12 (Übungsraum 3)
    • Beginn: 3.5.2019
  • Prüfungen

Vorlesungsskript

Übungen

Literatur

  • J. W. S. Cassels. Lectures on Elliptic Curves. Cambridge University Press 1991. (pdf, pdf, UB-FAU-18MI/mat 2.3-435)
  • H. Cohen. A Course in Computational Algebraic Number Theory. Springer, 1993, fourth printing 2000. (UB-FAU-T00/mat 2.3-341, UB-FAU-T00/mat 2.3-341+2, UB-FAU-18MI/mat 2.3-337, UB-FAU-18MI/mat 2.3-337a, UB-FAU-18MI10/mat 2.3-337.95)
  • H. Cohen. Number Theory. Volume I: Tools and Diophantine Equations. Springer, 2007. UB-Link
  • H. Cohen. Number Theory. Volume II: Analytic and Modern Tools. Springer, 2007. UB-Link
  • W. Fulton. Algebraic Curves. An Introduction to Algebraic Geometry. pdf
  • K. Hulek. Elementare Algebraische Geometrie. 2. Auflage. Springer Spektrum, 2012. pdf
  • L. J. Mordell. Diophantine Equations. Academic Press, 1969. pdf
  • J. H. Silverman. The Arithmetic of Elliptic Curves. 2nd Edition. Springer, 2009. pdf
  • J. H. Silverman, J. T. Tate. Rational Points on Elliptic Curves. Second Edition. Springer, 2015. (1. Auflage: UB-FAU-18MI/mat 2.3-325, UB-FAU-18MI/mat 2.3-325+2)
  • L. C. Washington. Elliptic Curves. Number Theory and Cryptographiy. Second Edition. Chapman & Hall/CRC, 2008. (1. Auflage: UB-FAU-18MI/mat 5.4-450, UB-FAU-18MI/mat 5.4-450+2)