TL;DR
This paper introduces a generalized operation called echelon modification for vector bundles, extending elementary modifications, with applications to the degeneration theory of linear systems.
Contribution
It presents a new filtered approach to modifying vector bundles, broadening the scope of elementary modifications for advanced geometric applications.
Findings
Developed the theory of echelon modifications for vector bundles.
Applied the theory to problems in degeneration of linear systems.
Provided new tools for studying vector bundle degenerations.
Abstract
We study a filtered generalization of the operation of elementary modification of vector bundles. The generalization is motivated by applications to the degeneration theory of linear systems.
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Taxonomy
TopicsMicrotubule and mitosis dynamics