@article{4068636221234c6f8f80927c014d6620,
title = "Stable vector bundles on the families of curves",
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 family of curves and its relation to the one-dimensional cycles in the moduli space of stable bundles on curves.",
keywords = "Families of curves, Stability, Vector bundle",
author = "Bogomolov, {Fedor A.} and Elena Lukzen",
note = "Funding Information: Elena Lukzen is especially grateful to Jacopo Stoppa for much help and support during her Ph.D. studies. She expresses her gratitude to the Courant Institute of Mathematical Sciences for the kind hospitality during her visits. Funding Information: The first author was partially supported by the HSE University Basic Research Program and by EPSRC programme grant EP/M024830. The second author is supported by the SISSA PhD fellowship and acknowledges the support of the H2020-MSCA-RISE-2017 PROJECT No. 778010 IPADEGAN. Publisher Copyright: {\textcopyright} 2022, The Author(s).",
year = "2022",
month = jun,
doi = "10.1007/s40879-021-00527-z",
language = "English (US)",
volume = "8",
pages = "540--550",
journal = "European Journal of Mathematics",
issn = "2199-675X",
publisher = "Springer International Publishing AG",
number = "2",
}