User christelle vincent - MathOverflowmost recent 30 from http://mathoverflow.net2013-05-23T19:23:11Zhttp://mathoverflow.net/feeds/user/2493http://www.creativecommons.org/licenses/by-nc/2.5/rdfhttp://mathoverflow.net/questions/8483/weierstrass-points-on-rigid-analytic-surfacesWeierstrass points on rigid-analytic surfacesChristelle Vincent2009-12-10T20:57:09Z2009-12-11T04:40:20Z
<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#8490Comment by Christelle VincentChristelle Vincent2009-12-13T00:11:13Z2009-12-13T00:11:13ZI 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#8491Comment by Christelle VincentChristelle Vincent2009-12-13T00:10:22Z2009-12-13T00:10:22ZI 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 :)