How *not* to concatenate my domain name?

[Hendrik Boom <hendrik@topoi.pooq.com>]

When I do a web search from my laptop, connected via wifi to my server 
and then too the rest of the world, if it for any reason fails to find, 
say,  aspidistraonion.com, it ends up giving me the IP number of my own 
server, and thus the wrong web page.

This can happen because of a temporary network problem, and if I'm using 
chrome, it puts the wrong IP number into its own DNS cache, and the cache 
remains poisoned for a long time.  (anyone know how to remove things from 
the chrome's DNS cache, by the way?)

Now I suspect the cause is that my DNS lookup appends .topoi.pooq.com to 
every unsuccessful search, in case I'm looking for something on my LAN.  
And then it does find 69.165.131.134, which is the externally known 
gateway IP number for everything on the LAN.  (let the server figure out 
where the packet really goes).

I suspect this dates back to installation time, when I was separately 
asked for the machine's name (notlookedfor) and the domain name 
(topoi.pooq.com), presumably so it could set up this alleged convenience.
  
Is there any way to get my local DNS lookup *not* to append the wider 
domain name to anything (or, at least, to anything already containing a 
dot)?

I'm running a jessie system with systemv init and systemd-shim, in case 
it matters.

-- hendrik