I found the solution, here it is if someone needs help with this :
BrowserSettings browserSettings = new BrowserSettings();
browserSettings.FileAccessFromFileUrlsAllowed = true;
browserSettings.UniversalAccessFromFileUrlsAllowed = true;
browserSettings.TextAreaResizeDisabled = true;
string urlToNavigate =
Application.StartupPath + @"\res\www\shared\index.html";
web_view = new WebView(urlToNavigate, browserSettings);
We need to put the FileAccessFromFileUrlsAllowed to true and UniversalAccessFromFileUrlsAllowed.