Families of maximal subbundles of stable vector bundles on curves

E. Ballico; B. Russo

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Families of maximal subbundles of stable vector bundles on curves

E. Ballico·B. Russo

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Abstract

Let X be a smooth projective curve of genus g bigger then 2. For any vector bundle E on X let M_k(E) be the scheme of all rank k subbundles of E with maximal degree. For every integers r, k and x with 0 r), we construct a rank r stable vector bundle E such that M_k(E) has an irreducible component of dimension x. Furthermore, if there exists a stable vector bundle F with small Lange's invariant s_k(F) and with M_k(F) `spread enough', then X i s a multiple covering of a curve of genus bigger then 2.

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BibTeX RIS

E. Ballico, B. Russo. 2000-05-10. Families of maximal subbundles of stable vector bundles on curves. https://arxiv.org/abs/math/0005097

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