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math.AG2020
Valuative invariants with higher moments
Kewei Zhang
In this article we introduce a family of valuative invariants defined in terms of the -th moment of the expected vanishing order. These invariants lie between and -invari…
math.AG2019
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.
math.AG2018
Delta invariants of smooth cubic surfaces
Ivan Cheltsov, Kewei Zhang
We prove that -invariants of smooth cubic surfaces are at least .