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  1. Basis log canonical thresholds, local intersection estimates, and asymptotically log del Pezzo surfaces

    The purpose of this article is to develop techniques for estimating basis log canonical thresholds on logarithmic surfaces. To that end, we develop...

    Ivan A. Cheltsov, Yanir A. Rubinstein, Kewei Zhang in Selecta Mathematica
    Article 29 April 2019

  2. On a Conjecture of Hong and Won

    We give an explicit counter-example to a conjecture of Kyusik Hong and JoonyeongWon about α-invariants of polarized smooth del Pezzo surfaces of...
    Ivan Cheltsov in Geometric Methods in Physics XXXV
    Conference paper 2018

  3. Strong K-stability and Asymptotic Chow-stability

    For a polarized algebraic manifold (X,L), let T be an algebraic torus in the group Aut(X) of all holomorphic automorphisms of X. Then strong relative...
    Toshiki Mabuchi, Yasufumi Nitta in Geometry and Analysis on Manifolds
    Chapter 2015

  4. The Donaldson–Futaki Invariant for Sequences of Test Configurations

    In this paper, given a polarized algebraic manifold (X,L), we define the Donaldson–Futaki invariant...
    Toshiki Mabuchi in Geometry and Analysis on Manifolds
    Chapter 2015

  5. Bounded combinatorics and the Lipschitz metric on Teichmüller space

    Considering the Teichmüller space of a surface equipped with Thurston’s Lipschitz metric, we study geodesic segments whose endpoints have bounded...

    Anna Lenzhen, Kasra Rafi, **g Tao in Geometriae Dedicata
    Article 11 October 2011
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