A remark on Weierstrass points and linear series on multiple covering curves

Acta Mathematica Sinica-english Series（2008）

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摘要

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 .

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关键词

algebraic curves,linear series,Weierstrass point,branched covering,Hilbert scheme

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