Let X be a generic smooth irreducible complex projective curve of genus g with g≥4. In this paper, we generalize the existence theorem of special divisors to high dimensional indecomposable vector bundles. We give a ...Let X be a generic smooth irreducible complex projective curve of genus g with g≥4. In this paper, we generalize the existence theorem of special divisors to high dimensional indecomposable vector bundles. We give a necessary and sufficient condition on the existence of n-dimensional indecomposable vector bundles E on X with det(E)=d, dim H^0(X,E)≥h. We also determine under what condition the set of all such vector bundles will be finite and how many elements it contains.展开更多
基金Project partly supported by the National Natural Science Foundation of China
文摘Let X be a generic smooth irreducible complex projective curve of genus g with g≥4. In this paper, we generalize the existence theorem of special divisors to high dimensional indecomposable vector bundles. We give a necessary and sufficient condition on the existence of n-dimensional indecomposable vector bundles E on X with det(E)=d, dim H^0(X,E)≥h. We also determine under what condition the set of all such vector bundles will be finite and how many elements it contains.
