An introduction to Ulrich bundles

@article{Beauville2016AnIT,
  title={An introduction to Ulrich bundles},
  author={Arnaud Beauville},
  journal={European Journal of Mathematics},
  year={2016},
  volume={4},
  pages={26-36}
}
  • Arnaud Beauville
  • Published 2016
  • Mathematics
  • After recalling the definition and basic properties of Ulrich bundles, we focus on the existence problem: does every smooth projective variety carry an Ulrich bundle? We show that the Serre construction provides a positive answer on certain surfaces and threefolds. 

    Create an AI-powered research feed to stay up to date with new papers like this posted to ArXiv

    Citations

    Publications citing this paper.
    SHOWING 1-10 OF 21 CITATIONS

    Examples of surfaces which are Ulrich-wild

    VIEW 5 EXCERPTS
    CITES BACKGROUND
    HIGHLY INFLUENCED

    Ulrich bundles on Brauer--Severi varieties

    VIEW 5 EXCERPTS
    CITES BACKGROUND
    HIGHLY INFLUENCED

    Ulrich bundles on some twisted flags

    VIEW 4 EXCERPTS
    CITES METHODS & BACKGROUND
    HIGHLY INFLUENCED

    On determinantal equations for curves and Frobenius split hypersurfaces

    VIEW 4 EXCERPTS
    CITES BACKGROUND
    HIGHLY INFLUENCED

    Moduli spaces of Ulrich bundles on the Fano 3-fold $V_5$

    VIEW 4 EXCERPTS
    CITES BACKGROUND
    HIGHLY INFLUENCED

    Hyperbolic Secant Varieties of M-Curves.

    VIEW 1 EXCERPT
    CITES BACKGROUND

    Ulrich Trichotomy on del Pezzo surfaces.

    VIEW 1 EXCERPT
    CITES BACKGROUND

    A very short proof of the Borisov-Nuer conjecture

    VIEW 1 EXCERPT
    CITES BACKGROUND