Stable vector bundles on the families of curves

Fedor A. Bogomolov, Elena Lukzen

Research output: Contribution to journalArticlepeer-review


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 family of curves and its relation to the one-dimensional cycles in the moduli space of stable bundles on curves.

Original languageEnglish (US)
Pages (from-to)540-550
Number of pages11
JournalEuropean Journal of Mathematics
Issue number2
StatePublished - Jun 2022


  • Families of curves
  • Stability
  • Vector bundle

ASJC Scopus subject areas

  • General Mathematics


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