Timeline for What are the recommended books for an introductory study of elliptic curves?
Current License: CC BY-SA 2.5
10 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 21, 2010 at 18:01 | comment | added | Steve Huntsman | As someone who's never really done more than glance at a few early sections of Hartshorne, I am personally glad for that approach. I think that elliptic curves and toric varieties are two of the best topics for motiviating AG and that an approach that takes this into account is good for AG. Indeed, this is the only thing that has caused me (and probably others like me with an applied bent) to even contemplate learning about schemes. | |
| Jul 21, 2010 at 15:53 | comment | added | Andrea Ferretti | I sometimes feel that the elementary approach of Silverman obscures the arguments. If he had assumed that readers know more algebraic geometry and group cohomology, the result could have been made more readable. Of course this is a compromise to enlarge the user base. But it would be nice to have a kind of more highbrow Silverman. | |
| Mar 16, 2010 at 9:24 | vote | accept | Arap K. | ||
| Mar 16, 2010 at 2:57 | comment | added | Chandan Singh Dalawat | There is also Husemöller, Dale Elliptic curves. Graduate Texts in Mathematics, 111. Springer-Verlag, New York, 2004. xxii+487 pp. ISBN: 0-387-95490-2 | |
| Mar 16, 2010 at 0:42 | comment | added | Qiaochu Yuan | If you want a historical perspective, I recommend following up Silverman and Tate with the notes by Stevenhagen: websites.math.leidenuniv.nl/algebra | |
| Mar 15, 2010 at 23:10 | comment | added | Marty | And you might like the book of Cassels too. | |
| Mar 15, 2010 at 22:22 | comment | added | Charles Siegel | And if you want to generalize it eventually, Silverman and Hindry: books.google.com/… | |
| Mar 15, 2010 at 22:06 | comment | added | Steve Huntsman | You may also find McKean and Moll ( books.google.com/books?id=ovGVquPwo7oC ) has a nice flavor. But this should be considered as a complementary reference. McKean's books typically have somewhat unusual but extremely tasteful takes on subjects, and this is such a case. | |
| Mar 15, 2010 at 22:01 | comment | added | Steve Huntsman | BTW, if you end up looking for a nice easy introduction to the relationship between modular forms and elliptic curves, then Knapp is pretty good: books.google.com/books?id=-e_qVoKF8H8C | |
| Mar 15, 2010 at 21:57 | history | answered | Steve Huntsman | CC BY-SA 2.5 |