Relative paths are file links, absolute paths are fuzzy.

org_mode_samples/object/regular_link/file_link.org

@@ -1,3 +1,6 @@
+[[./simple.org]]
+[[../simple.org]]
+[[/simple.org]]
 [[file:simple.org]]
 [[file:sim  ple.org]]
 

org_mode_samples/object/regular_link/fuzzy_link.org

@@ -1,4 +1,5 @@
 [[elisp.org]]
+[[/elisp.org]]
 
 [[eli
 sp.org]]

src/parser/regular_link.rs

@@ -233,7 +233,7 @@ fn apply_link_templates<'b, 'g, 'r, 's>(
 
 fn file_path_reg<'s>(input: OrgSource<'s>) -> Res<OrgSource<'s>, PathReg<'s>> {
     let (remaining, (raw_link, (_, path, search_option))) = consumed(tuple((
-        tag("file:"),
+        alt((tag("file:"), peek(tag(".")))),
         recognize(many_till(anychar, alt((peek(tag("::")), eof)))),
         opt(map(tuple((tag("::"), rest)), |(_, search_option)| {
             search_option