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National School on Algebra
The 16th edition

Elliptic Curves


5-12 September 2007
Constanta



the 16th edition |  Participants |  Lectures |  Photo Gallery |  Poster |  Index



I. The geometry of cubic plane curves (-) PDF | PS | DVI
II. Elliptic curves over the field of complex numbers (-) PDF | PS | DVI
III. Points of finite order over elliptic curves (-) PDF | PS | DVI
IV. The Nagell-Lutz theorem (-) PDF | PS | DVI
V. Rational points over finite fields (-) PDF | PS | DVI
VI. A factorization algorithm using elliptic curves (-) PDF | PS | DVI
VII. Mordell theorem: algebraic preparation (-) PDF | PS | DVI
VIII. Height function on an elliptic curve (-) PDF | PS | DVI
IX. Multiplication by 2 on an elliptic curve (-) PDF | PS | DVI
X. Multiplication on an elliptic curve (-) PDF | PS | DVI
XI. The proof of Mordell theorem (-) PDF | PS | DVI
XII. Examples and further developments (-) PDF | PS | DVI



The lectures are based on the book by J. H. Silverman si J. Tate, Rational points on elliptic curves, Undergraduate Texts in Mathematics, Springer-Verlag, New York, 1992.