Let S be a smooth projective rational surface and [phi] : S [right arrow] [P.sup.1] a fibration whose general fibre F is a projective curve
of genus g [greater than or equal to] 1.
Table 1 lists the results of our numerical procedure for the projective curve
corresponding to f(x, y) = 0 in Example 1.
of Notre Dame, Indiana), and Ulrich (Purdue U., Indiana) investigate the singularities of a rational projective curve
by studying a Hilbert-Burch matrix for the row vector [g1,.
a smooth and irreducible projective curve
defined over C, and let g be its genus.
(0.3) [Mathematical Expression Omitted] for M in [Mathematical Expression Omitted] for a projective curve
Y/[F.sub.q] and a smooth [Q.sub.l]-sheaf M on Y.
Let C be a smooth, projective curve
over an algebraically closed field k of genus g(C) [greater than or equal to] 2.
Coppens, The singular locus of the secant varieties of a smooth projective curve
The Igusa curve [X.sub.n] of level [p.sup.n] is defined to be the unique smooth projective curve
over k which contains [X.sub.n[.sup.o]] as a dense open subvariety.
Let C be a smooth projective curve
of genus g > 2 over an algebraically closed filed k.
Let k be a two dimensional local field of characteristic zero and X be a smooth projective curve
defined over k.
Let C be a smooth complex projective curve
of genus g [is greater than or equal to] 2 embedded in a projective space [P.sup.r] by a very ample line bundle N of degree d.