On the spectrum of asymptotic slopes

Details On the spectrum of asymptotic slopes On the spectrum of asymptotic slopes

2008-04-10

arxiv.org/abs/0804.1626v1

Mathematics

Algebraic Geometry

To appear

Scientific paper

The slopes of maximal subbundles of rank $s$ divided by the degree of the map
under various pull backs form a bounded collection of numbers called the
$s$-spectrum of the bundle. We study the supremum of the $s$-spectrum and
determine it in terms of the Harder Narasimhan filtration of the bundle.

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