In the case of curves, the significant variables are curve radius and lane width.
In the case of curves, there are interesting relations with topology.
The proposed scheme covers both the closed curve case, and the case of curves that are connected via triple junctions.
Let us see now how the picture works in the case of curves: this case is already very enlightening and intriguing.
(1) It is interesting to observe that one can view the orbifold fundamental group, in the case of curves, as the quotient of a bona fide fundamental group.
In the case of curves of E{N t)}plotted in Figs. 6, 7, sharp increment is noticed up to t = 20, then after it becomes asymptotically stable as time passes.
But we have a moduli space of G-marked varieties in the case of curves of genus (g ge 2) and in the case of canonical models of surfaces of general type, and similarly also for canonical models in higher dimension.
In the case of curves ( H^2 (Y, Theta _Y) = 0), hence curves are unobstructed; in the case of a surface S begin{aligned} mathrm{dim} mathfrak B (S ) ge h^1 ( Theta _S) - h^2 ( Theta _S) = - chi ( Theta _S) + h^0 ( Theta _S) = 10 chi ({mathcal {O}}_S) - 2 K^2_S + h^0 ( Theta _S).
While the conjecture says nothing in the case of curves and surfaces and is trivial in the case where ( n le 4), since a codimension 1 subvariety is defined by a single equation, it starts to have meaning for (n ge 5) and ( c = N - n ge 2).
