On Lange's Conjecture

Details On Lange's Conjecture On Lange's Conjecture

1997-05-22

arxiv.org/abs/alg-geom/9705019v1

Mathematics

Algebraic Geometry

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Scientific paper

Let C be an algebraic curve of genus g. Let E be a vector bundle of rank n and degree d. Consider among all subbundles F' of E of rank n' those of maximal degree d'. Then s_n'(E)= n'd-nd'\le n'(n-n')g. If E is stable s_n'(E)>0 while if E is generic s_n'(E)\ge n'(n-n')(g-1) . The following statement was conjectured by Lange: If 0

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