at the center. As a result, there is a Kaluza-Klein reduction of flat space that yields the leading approximation to the D6-brane geometry near the singularity. This is the ‘near-core’ D6-brane solution. The observation is that it is straightforward to add another brane to this flat space and thereby obtain the ‘near-D6 brane’ part of a solution in which the D6-brane intersects an F1- or D4-brane. These solutions follow by simply applying the same Kaluza-Klein reduction to the M-theory solution describing ‘an M2- or M5-brane in flat space;’ i.e., to the usual M2- or M5-brane solution. This process was begun in [@Aki] and completed in [@GM], where it was shown that an appropriate family of such reductions in fact describes the near-D6 brane versions of stages (i-iv) in the Hanany-Witten process for a D2- or NS5-brane being pulled past a D6-brane. Similarly, the multiply charged case can be obtain by first taking an orbifold quotient and then reducing the result.

We refer to the reader to [@GM] for the details of these solutions, but we mention here an interesting puzzle that one finds after a bit of study. As already mentioned, one would expect that constructing such full supergravity solutions 