on functions with a single pole - MathOverflow 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 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>