On the spectrum of asymptotic slopes

2008/04/10 by Parameswaran, A. J., Subramanian, S. · 1 citation
#14 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.0804.1626

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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• Relative Gieseker's problem on F-divided bundles

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