7 citations · 22 across the 14 of their papers we have counts for
18 papers
Degenerations of generalized Kummer varieties
Lars H. Halle, Klaus Hulek, Ziyu Zhang
We present a method to construct explicit degenerations of higher-dimensional generalized Kummer varieties. We start with a simple degeneration of abelian sur…
Base change conductors through intersection theory and quotient singularities
Dennis Eriksson, Lars Halvard Halle, Johannes Nicaise
We perform a systematic study of the base change conductor for Jacobians. Through the lens of intersection theory and Deligne's Riemann-Roch theorem, we present novel computational…
Relative VGIT and an application to degenerations of Hilbert schemes
Lars H. Halle, Klaus Hulek, Ziyu Zhang
We generalize the classical semi-continuity theorem for GIT (semi)stable loci under variations of linearizations to a relative situation of an equivariant projective morphism from…
The geometry of degenerations of Hilbert schemes of points
Martin G. Gulbrandsen, Lars H. Halle, Klaus Hulek +1
Given a strict simple degeneration the first three authors previously constructed a degeneration of the relative degree Hilbert scheme of $0…
Motivic zeta functions of degenerating Calabi-Yau varieties
Lars Halvard Halle, Johannes Nicaise
We study motivic zeta functions of degenerating families of Calabi-Yau varieties. Our main result says that they satisfy an analog of Igusa's monodromy conjecture if the family has…
Abelian Calabi-Yau threefolds: Néron models and rational points
Fedor Bogomolov, Lars Halvard Halle, Fabien Pazuki +1
We study Calabi-Yau threefolds fibered by abelian surfaces, in particular, their arithmetic properties, e.g., Néron models and Zariski density.