On the spectrum of asymptotic slopes
classification
🧮 math.AG
keywords
spectrumbundleslopesasymptoticbacksboundedcalledcollection
read the original abstract
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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