most recent 30 from http://mathoverflow.net 2013-05-25T18:21:07Z http://mathoverflow.net/feeds/user/9463 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/88740/good-book-on-riemann-surfaces-and-galois-theory/110066#110066 fcukier 2012-10-19T04:21:40Z 2012-10-19T04:21:40Z

<p>The first sections of the following two papers contain background material on covering spaces and Galois theory. </p> <p>Joe Harris Galois groups of enumerative problems Duke Math. J. Volume 46, Number 4 (1979), 685-724.</p> <p>William Fulton Hurwitz Schemes and Irreducibility of Moduli of Algebraic Curves. The Annals of Mathematics, Second Series, Vol. 90, No. 3 (Nov., 1969), pp. 542-575</p>

http://mathoverflow.net/questions/31879/are-there-other-nice-math-books-close-to-the-style-of-tristan-needham/65744#65744 fcukier 2011-05-23T05:42:33Z 2011-05-23T05:42:33Z

<p>Roger Godement, Analysis, vols. I to IV (Springer). Contains many interesting historical, heuristic and motivational comments. Includes several details on Bourbaki ("bande militante") in Vol. III. Great mathematical content, plus some provocative thoughts.</p>

http://mathoverflow.net/questions/21024/what-is-the-exterior-derivative-intuitively/56008#56008 fcukier 2011-02-19T19:36:30Z 2011-02-19T19:36:30Z

<p>Another conceptually nice definition of the exterior derivative is given in Bourbaki (Varietes differentielles et analytiques, Fascicule de resultats), (8.3.4) and (8.3.5). The idea is the following: if w is an exterior p-form on X, consider it as a section w: X to Omega^p(X) of the bundle Omega^p(X) of p-forms. It makes sense to take its derivative dw at each point x in X. Then one sees that dw corresponds to a p+1 exterior form. </p> <p>By the way, a natural and simple definition of tangent vector on a smooth manifold is given in the same book in (5.5.1).</p>

http://mathoverflow.net/questions/52458/comprehensive-and-self-contained-treatment-of-algebraic-geometry-using-functor-of/52480#52480 fcukier 2011-01-19T06:52:13Z 2011-01-19T06:52:13Z

<p>One source for this point of view is the Introduction to EGA I, Springer Verlag edition (different from the IHES version). Another one is Mumford, lectures on curves on an algebraic surface. </p>

http://mathoverflow.net/questions/44125/what-is-a-good-introductory-text-for-moduli-theory/46012#46012 fcukier 2010-11-14T03:57:21Z 2010-11-14T03:57:21Z

<p>Another introduction to moduli: C. S. Seshadri, "Theory of Moduli", Proceedings of Symposia in Pure Mathematics, Vol. XXIX (Algebraic Geometry - Arcata 1974), pp. 263-304. American Mathematical Society.</p>

http://mathoverflow.net/questions/716/formal-consequences-of-riemann-roch-multiple-answers-welcome/39695#39695 fcukier 2010-09-23T05:39:44Z 2010-09-23T05:39:44Z

<p>To the sources given for RR in other answers, I would like to add Mumford's Complex Projective Varieties. He gives a nice proof, using the residue theorem plus basic linear algebra.</p>

http://mathoverflow.net/questions/2147/most-helpful-math-resources-on-the-web/41207#41207 fcukier 2011-12-20T05:17:46Z 2011-12-20T05:17:46Z

DML: Digital Mathematics Library <a href="http://www.mathematik.uni-bielefeld.de/~rehmann/DML/dml_links.html" rel="nofollow">mathematik.uni-bielefeld.de/~rehmann/DML/&hellip;</a> contains some (but not all) of these resources organized in a unified way.

http://mathoverflow.net/questions/2147/most-helpful-math-resources-on-the-web/17436#17436 fcukier 2011-12-20T03:57:53Z 2011-12-20T03:57:53Z

Hi Felipe ! Let me add a link to DML <a href="http://www.mathematik.uni-bielefeld.de/~rehmann/DML/dml_links.html" rel="nofollow">mathematik.uni-bielefeld.de/~rehmann/DML/&hellip;</a> This site contains links to Gottingen, Numdam, Jstor and some others.