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Stable vector bundles on the families of curves

TitleStable vector bundles on the families of curves
Publication TypeJournal Article
Year of Publication2020
AuthorsBogomolov, F, Lukzen, E
Abstract

We offer a new approach to proving the Chen-Donaldson-Sun theorem which we demonstrate with a series of examples. We discuss the existence of a construction of a special metric on stable vector bundles over the surfaces formed by a families of curves and its relation to the one-dimensional cycles in the moduli space of stable bundles on curves.

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