User kikwai - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-26T07:18:28Z http://mathoverflow.net/feeds/user/4171 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/97211/gromov-witten-donaldson-thomas-correspondence gromov witten donaldson thomas correspondence Kikwai 2012-05-17T10:47:37Z 2012-05-17T10:47:37Z <p>Let \$X\$ be a nonsingular projective 3-fold. I am trying to understand the proof of the GW/DT correspondence as presented in <a href="http://arxiv.org/abs/0809.3976" rel="nofollow">Gromov-Witten/Donaldson-Thomas correspondence for toric 3-folds</a>. I would appreciate if anyone were to explain the general idea behind virtual localization. To be more specific, How the capped localization expresses the primary GW/DT invariants of \$X\$ as a sum of capped vertex and capped edge data.</p> <p>Is it possible to explain this in terse statements without going into the details. I believe that this will help my intuition as I try to wade through the detailed contents.</p> <p>Thank you.</p> http://mathoverflow.net/questions/33191/elliptic-curves-general-structure-of-the-group Elliptic Curves - General structure of the group Kikwai 2010-07-24T12:25:19Z 2010-07-24T13:24:41Z <p>Let \$K\$ be a field and \$E\$ be an elliptic curve defined over \$K\$. It well understood the points on \$E\$ forms an abelian group. What is the structure of this group?(depending on char(\$K\$)?) Is it a direct sum of some well known abelian groups such as \$\mathbb{Z}/m\mathbb{Z}\$?</p> http://mathoverflow.net/questions/18313/which-are-the-recomemnded-books-for-an-introductory-study-of-elliptic-curves which are the recomemnded books for an introductory study of elliptic curves? Kikwai 2010-03-15T21:48:39Z 2010-07-21T10:30:54Z <p>I am currently doing a self study on Algebraic geometry but my ultimate goal is to study more on elliptic curves. Which are the most recommended textbooks I can use to study? I need something not so technical for a junior graduate student but at the same time I would wish to get a book with authority on elliptic curves. Thanks</p> http://mathoverflow.net/questions/22529/morphisms-of-quasiprojective-varieties-exercise Comment by Kikwai Kikwai 2010-04-25T21:25:07Z 2010-04-25T21:25:07Z Great Hint, I can see that [0,0,0,1] -&gt; [0,0,0] but what open affine will this map extend from? Am sorry I am doing some self study and cant get the right resources.