Stable vector bundles with decomposable subbundles. (English) Zbl 1051.14042
Summary: Let \(C\) be a smooth projective curve of genus \(g\geq2\). We investigate the existence of stable vector bundles having polystable subbundles or subbundles which are direct sum of stable vector bundles of the same rank. Moreover, we discuss whether such subbundles are maximal.
MSC:
14H60 | Vector bundles on curves and their moduli |
14D20 | Algebraic moduli problems, moduli of vector bundles |