42 citations · 248 across the 26 of their papers we have counts for
8 papers · 1 filter
Hassett--Keel Program in genus four
Kenneth Ascher, Kristin DeVleming, Yuchen Liu +1
The Hassett--Keel program seeks to give a modular interpretation to the steps of the log minimal model program of . The goal of this paper is to complete…
Moduli of boundary polarized Calabi-Yau pairs
Kenneth Ascher, Dori Bejleri, Harold Blum +4
We develop the moduli theory of boundary polarized CY pairs, which are slc Calabi-Yau pairs such that is ample. The motivation for studying this moduli problem is to co…
Algebraicity of the Metric Tangent Cones and Equivariant K-stability
Chi Li, Xiaowei Wang, Chenyang Xu
We prove two new results on the K-polystability of Q-Fano varieties based on purely algebro-geometric arguments. The first one says that any K-semistable log Fano cone has a specia…
Asymptotic Chow stability of toric Del Pezzo surfaces
King-Leung Lee, Zhiyuan Li, Jacob Sturm +1
In this short note, we study the asymptotic Chow polystability of toric Del Pezzo surfaces appear in the moduli space of Kähler-Einstein Fano varieties constructed in [OSS16].
Balanced embedding of degenerating Abelian varieties
Xiaowei Wang, Yuguang Zhang
For a certain maximal unipotent family of Abelian varieties over the punctured disc, we show that after a base change, one can complete the family over a disc such that the whole d…
On the proper moduli spaces of smoothable Kähler-Einstein Fano varieties
Chi Li, Xiaowei Wang, Chenyang Xu
In this paper, we investigate the geometry of the orbit space of the closure of the subscheme parametrizing smooth Fano Kähler-Einstein manifolds inside an appropriate Hilbert sche…