  The Hermitian, Suzuki and Ree curves form three special families of curves
with unique properties. They arise as the Deligne-Lusztig varieties of
dimension one and their automorphism groups are the algebraic groups of type
2A2, 2B2 and 2G2, respectively. For the Hermitian and Suzuki curves very ample
divisors are known that yield smooth projective embeddings of the curves. In
this paper we establish a very ample divisor for the Ree curves. Moreover, for
all three families of curves we find a symmetric set of equations for a smooth
projective model, in dimensions 2, 4 and 13, respectively. Using the smooth
model we determine the unknown nongaps in the Weierstrass semigroup for a
rational point on the Ree curve.
