User christelle vincent - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-23T19:23:11Z http://mathoverflow.net/feeds/user/2493 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/8483/weierstrass-points-on-rigid-analytic-surfaces Weierstrass points on rigid-analytic surfaces Christelle Vincent 2009-12-10T20:57:09Z 2009-12-11T04:40:20Z <p>Does a rigid-analytic surface defined over a nonarchimedean complete field have Weierstrass points (if its genus is big enough let's say)? Is there a good reference that (ideally) lists theorems for rigid-analytic spaces that are the analog of commonly known theorems about complex analytic spaces? </p> http://mathoverflow.net/questions/8483/weierstrass-points-on-rigid-analytic-surfaces/8490#8490 Comment by Christelle Vincent Christelle Vincent 2009-12-13T00:11:13Z 2009-12-13T00:11:13Z I did mean a curve, thanks for pointing this out! I was getting slightly mixed up between the curve over the complex numbers and the Riemann surface. http://mathoverflow.net/questions/8483/weierstrass-points-on-rigid-analytic-surfaces/8491#8491 Comment by Christelle Vincent Christelle Vincent 2009-12-13T00:10:22Z 2009-12-13T00:10:22Z I did mean a complete curve. And you were right in assuming that I was not thinking about any of the tricky or out-of-the-ordinary cases :)