000			01658nam a22002177a 4500
008			230117b1994 |||||||| |||| 00| 0 eng d
020			_a9780387943282
082			_a516.35 SIL-J
100			_aSilverman, Joseph H.
245			_aAdvanced topics in the arithmetic of elliptic curves / _cJoseph H. Silverman
260			_aNew York _bSpringer Science _c1994
300			_a525 p.
365			_aEU _b64.99.
500			_aIn the introduction to the first volume of The Arithmetic of Elliptic Curves (Springer-Verlag, 1986), I observed that "the theory of elliptic curves is rich, varied, and amazingly vast," and as a consequence, "many important topics had to be omitted." I included a brief introduction to ten additional topics as an appendix to the first volume, with the tacit understanding that eventually there might be a second volume containing the details. You are now holding that second volume. it turned out that even those ten topics would not fit Unfortunately, into a single book, so I was forced to make some choices. The following material is covered in this book: I. Elliptic and modular functions for the full modular group. II. Elliptic curves with complex multiplication. III. Elliptic surfaces and specialization theorems. IV. Neron models, Kodaira-Neron classification of special fibers, Tate's algorithm, and Ogg's conductor-discriminant formula. V. Tate's theory of q-curves over p-adic fields. VI. Neron's theory of canonical local height functions.
650			_aCurves, Algebraic
650			_aCurves, Elliptic
650			_aArithmetic
650			_aMathematics
650			_aNumber theory
650			_aGeometry, Algebraic
999			_c90414 _d90414