31 citations · 230 across the 65 of their papers we have counts for
69 papers
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…
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…
Moduli of polarized Enriques surfaces -- computational aspects
Mathieu Dutour Sikirić, Klaus Hulek
Moduli spaces of (polarized) Enriques surfaces can be described as open subsets of modular varieties of orthogonal type. It was shown by Gritsenko and Hulek that there are, up to i…
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 Kondō, also a moduli space of K3 surfaces. We prove that the Deligne-Mo…
Non-isomorphic smooth compactifications of the moduli space of cubic surfaces
Sebastian Casalaina-Martin, Samuel Grushevsky, Klaus Hulek +1
The moduli space of complex cubic surfaces has three different, but isomorphic, compact realizations: as a GIT quotient, as a Baily--Borel compactification of a ball quotient, and…
Moduli of elliptic surfaces: monodromy and Shimada root lattice strata
Klaus Hulek, Michael Lönne
In this paper we investigate two stratifications of the moduli space of elliptically fibred K3 surfaces. The first comes from Shimada's classification of connected components of el…