3 papers
math.AG2026
Compactifications of the Eisenstein ancestral Deligne-Mostow variety
Klaus Hulek, Shigeyuki Kondo, Yota Maeda
All arithmetic non-compact ball quotients by Deligne-Mostow's unitary monodromy group arise as sub-ball quotients of either of two spaces called ancestral cases, corresponding to G…
math.AG2025
Revisiting the moduli space of 8 points on
Klaus Hulek, Yota Maeda
The moduli space of points on , a so-called ancestral Deligne-Mostow space, is, by work of KondÅ, also a moduli space of K3 surfaces. We prove that the Deligne-M…
math.AG2024
The birational geometry of moduli of cubic surfaces and cubic surfaces with a line
Sebastian Casalaina-Martin, Samuel Grushevsky, Klaus Hulek
We determine the cones of effective and nef divisors on the toroidal compactification of the ball quotient model of the moduli space of complex cubic surfaces with a chosen line. F…