look at the source of your front page:
/*******************************************************************
Show link pointer images for external sites
*******************************************************************/
.entrybody a[href^="http:"] {
background: transparent url("http://tanifukui.com/Personal/Blog/wp-content/themes/gentle_calm/images/external_link.gif") no-repeat 100% 50%;
padding-right: 10px;
white-space: nowrap;
}
.entrybody a:hover[href^="http:"] {
background: #F3F4EC url("http://tanifukui.com/Personal/Blog/wp-content/themes/gentle_calm/images/external_link.gif") no-repeat 100% 50%;
}
/* This avoids the icon being shown on internal links.*/
.entrybody a[href^="http://tanifukui.com"],
.entrybody a[href^="http://www.tanifukui.com"] {
background: inherit;
padding-right: 0px;
}
—
Locate that inside your theme file(s), delete as needed.