Here we study multiple coverings of rational and irational curves. We give a theorem about the non-gap sequence on m-gonal curves. We then study general irrational covering f: X → C, and say when h 0(X, f*(L)) = h 0(C,L) for L line bundle on C.
Here we study multiple coverings of rational and irational curves. We give a theorem about the non-gap sequence on m-gonal curves. We then study general irrational covering f: X → C, and say when h 0(X, f*(L)) = h 0(C,L) for L line bundle on C.