TITLE: Commutative Ring of Finite Global Dimension
QUESTION [5 upvotes]: The only examples of commutative rings of finite global dimension I know are either:

Dedekind domains (and fields as a degenerate special case)
Regular local rings
Rings constructed from the previous examples by taking direct sums, or forming the rings of polynomials over a ring of finite global dimension.

Are there other examples?  In particular, are there other examples that are finite-dimensional over a field $k$?
(Examples of rings of finite global dimension are easier to come by in the noncommutative case, but I'm specifically curious about the commutative case.)

REPLY [9 votes]: At arsmath's request, I'm making this official.
(This is pretty standard commutative algebra, but I realize not everyone has gone through it.)
A commutative ring $R$ is regular if it's noetherian and its local rings are regular.
Using Serre's theorem e.g. Matsumura Commutative Ring Theory p 156, and the fact
that $Ext$ commutes with localization, we can see that any regular ring with finite Krull
dimension has finite global dimension.
To an algebraic geometer regular = nonsingular. So in particular, so there is a large
supply of basic examples arising as  coordinate rings of nonsingular affine varieties.
This is a bit circular the way I'm saying it, but of course, you can test the condition
using the Jacobian criterion...