Publications

All my papers are available on arXiv

2024

  1. arXiv
    A Miyaoka-Yau inequality for hyperplane arrangements in \(\mathbb{CP}^n\)
    dB, M., and Panov, Dmitri
    arXiv 2024
  2. AUF
    Some models for bubbling of (log) Kähler-Einstein metrics
    dB, M., and Spotti, Cristiano
    Ann. Univ. Ferrara 2024

2023

  1. JDG
    Calabi-Yau metrics with conical singularities along line arrangements
    dB, M., and Spotti, Cristiano
    Journal of Differential Geometry 2023

2022

  1. AFST
    Dunkl connections on \(\mathbb{C}^2\) and spherical metrics
    dB, M., and Panov, Dmitri
    to appear in Ann. Fac. Sci. Toulouse 2022
  2. JLMS
    Calabi-Yau metrics with cone singularities along intersecting complex lines: the unstable case
    dB, M., and Edwards, Gregory
    J. Lond. Math. Soc. 2022
  3. Selecta
    Toric Sasaki-Einstein metrics with conical singularities
    dB, M., and Legendre, Eveline
    Selecta Mathematica 2022
  4. Proc. AMS
    Parabolic bundles and spherical metrics
    dB, M., and Panov, Dmitri
    Proc. Amer. Math. Soc. 2022

2021

  1. CMH
    Schauder estimates on products of cones
    dB, M., and Edwards, Gregory
    Comment. Math. Helv. 2021
  2. arXiv
    Polyhedral Kähler cone metrics on \(\mathbb{C}^n\) singular at hyperplane arrangements
    dB, M., and Panov, Dmitri
    arXiv 2021

2019

  1. IMRN
    Asymptotically conical Calabi-Yau metrics with cone singularities along a compact divisor
    dB, M., and Spotti, Cristiano
    Int. Math. Res. Not. 2019
  2. Proc. AMS
    Local models for conical Kähler-Einstein metrics
    dB, M., and Spotti, Cristiano
    Proc. Amer. Math. Soc. 2019

2017

  1. AGAG
    Kähler metrics with cone singularities along a divisor of bounded Ricci curvature
    dB, M.
    Ann. Global Anal. Geom. 2017
  2. JGP
    The Gibbons-Hawking ansatz over a wedge
    dB, M.
    J. Geom. Phys. 2017
  3. JLMS
    Asymptotically conical Ricci-flat Kähler metrics on \(\mathbb{C}^2\) with cone singularities along a complex curve
    dB, M.
    J. Lond. Math. Soc. 2017
  4. COMA
    Singularities of plane complex curves and limits of Kähler metrics with cone singularities. I: Tangent cones
    dB, M.
    Complex Manifolds 2017