Prof. Dr. Daniel Greb - Publications


My preprints on arXiv. My published papers on MathSciNet (subscription required). My Google Scholar entry.



  • Projective flatness over klt spaces and uniformisation of varieties with nef anti-canonical divisor , arXiv:2006.08769
    (with Stefan Kebekus and Thomas Peternell)

    We give a criterion for the projectivisation of a reflexive sheaf on a klt space to be induced by a projective representation of the fundamental group of the smooth locus. This criterion is then applied to give a characterisation of finite quotients of projective spaces and Abelian varieties by ℚ-Chern class (in)equalities and a suitable stability condition. This stability condition is formulated in terms of a naturally defined extension of the tangent sheaf by the structure sheaf. We further examine cases in which this stability condition is satisfied, comparing it to K-semistability and related notions.

  • 1-rational singularities and quotients by reductive groups, arXiv:0901.3539

    This preprint will not be submitted; the results follow easily from those in my later paper ''Rational singularities and quotients by holomorphic group actions'' that appeared in Annali della Scuola Normale Superiore di Pisa; however, the preprint gives an independent and technically simpler proof in the algebraic case and avoids the technical difficulties encountered in the analytic setup.


CONFERENCE PROCEEDINGS (invited, without peer review)




Reviews written by myself for Mathematical Reviews can be found here (subscription required).