25 citations · 47 across the 8 of their papers we have counts for
9 papers
Log del Pezzo -surfaces, Kähler-Einstein metrics, Kähler-Ricci solitons and Sasaki-Einstein metrics
Daniel Hättig, Jürgen Hausen, Hendrik Süß
We consider two classes of non-toric log del Pezzo -surfaces: on the one side the 1/3-log canonical ones and on the other side those of Picard number one and Gorenste…
K-polystability of two smooth Fano threefolds
Ivan Cheltsov, Hendrik Süß
We give new proofs of the K-polystability of two smooth Fano threefolds. One of them is a~smooth divisor in of degree ,…
Stability of tangent bundles on smooth toric Picard-rank-2 varieties and surfaces
Milena Hering, Benjamin Nill, Hendrik Süß
We give a combinatorial criterion for the tangent bundle on a smooth toric variety to be stable with respect to a given polarisation in terms of the corresponding lattice polytope.…
On the Cheltsov--Rubinstein conjecture
Kento Fujita, Yuchen Liu, Hendrik Süß +2
In this note we investigate the Cheltsov--Rubinstein conjecture. We show that this conjecture does not hold in general and some counterexamples will be presented.
Toric topology of the Grassmannian of planes in and the del Pezzo surface of degree
Hendrik Süß
We determine the integral homology of the orbit space of a maximal compact torus action on the Grassmannian Gr(2,5). Our approach uses the well-known Geometric Invariant Theory of…
Orbit spaces of maximal torus actions on oriented Grassmannians of planes
Hendrik Süß
Motivated by Buchstaber's and Terzic' work on the complex Grassmannians G(2,4) and G(2,5) we describe the moment map and the orbit space of oriented Grassmannians of planes under t…
Fano threefolds with 2-torus action - a picture book
Hendrik Süß
Following the work of Altmann and Hausen we give a combinatorial description in terms for smooth Fano threefolds admitting a 2-torus action. We show that a whole variety of propert…
Kahler-Einstein metrics on symmetric Fano T-varieties
Hendrik Süß
We relate the global log canonical threshold of a variety with torus action to the global log canonical threshold of its quotient. We apply this to certain Fano varieties and use T…
Canonical divisors on T-varieties
Hendrik Süß
Generalising toric geometry we study compact varieties admitting lower dimensional torus actions. In particular we describe divisors on them in terms of convex geometry and give a…