Stabilization of direct images for curves
Fedor Bogomolov, Spencer F. Schrandt
TL;DR
This paper investigates the stabilization behavior of direct images of line bundles over projective curves mapping onto the projective line, focusing on the effects of large degree maps.
Contribution
It introduces new results on the stabilization phenomena of direct images for high-degree maps from curves to the projective line.
Findings
Identification of conditions for stabilization to occur.
Description of the stabilization process for direct images.
Implications for the geometry of curve mappings.
Abstract
We discuss phenomena of stabilization for direct images of line bundles over projective curves mapping onto the projective line, for maps of sufficiently big degree.
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Taxonomy
TopicsAdvanced Numerical Analysis Techniques · Computer Graphics and Visualization Techniques