most recent 30 from http://mathoverflow.net 2013-05-19T05:43:50Z http://mathoverflow.net/feeds/question/121039 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/121039/on-functions-with-a-single-pole prochet 2013-02-07T04:33:34Z 2013-02-07T04:33:34Z

<p>Let $X$ a curve over an algebraically closed field $k$. $x$ a closed point. Let $F_{x}$ the completion at x of the function field of $X$. e chose an uniformizer $t$ such that $F_{x}=k((t))$.</p> <p>Does it exists a integer $n\geq 0$ such that</p> <p>$t^{-n}k[t^{-1}]\subset k[X-x]$</p>