On Property N_p for algebraic curves

Abstract

Let C=C₁∪   ∪ C_s be a reduced, but reducible, curve and let \mathscr{L} in Pic(C) be very ample. Here we give conditions on deg(\mathscr{L}_|Cl) insuring that the embedding of C induced by \mathscr{L} satisfies Property N_p.
We also study the minimal free resolution for general projections of smooth curves.