Stable vector bundles on the families of curves

DOI10.1007/S40879-021-00527-ZarXiv2010.02839MaRDI QIDQ6350657

Publication date: 6 October 2020

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.

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Families, moduli of curves (algebraic) (14H10) Algebraic moduli problems, moduli of vector bundles (14D20)

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