5 papers · 1 filter
A semiampleness result for hyperkähler fourfolds and smoothings of Lagrangian subvarieties
Andreas Höring, Vladimir Lazić, Christian Lehn
We give a geometric proof of the following statement: let be a smooth hyperkähler fourfold such that the Picard group is generated by a line bundle that is nef, non-trivial…
Nonvanishing results for Kähler varieties
Andreas Höring, Vladimir Lazić, Christian Lehn
Nonvanishing theorems play a central role in birational geometry, since they derive geometric consequences from numerical information and constitute a crucial step towards abundanc…
Corrigendum to "The Mori fan of the Dolgachev-Nikulin-Voisin family in genus " by K. Hulek and C. Liese
Mathieu Dutour Sikirić, Klaus Hulek, Christian Lehn
In this note, we correct some of the results of the paper ``The Mori fan of the Dolgachev--Nikulin--Voisin family in genus '' by K.~Hulek and C.~Liese concerning the number of m…
Combinatorial K3 surfaces and the Mori fan of the Dolgachev--Nikulin--Voisin family in degree 2
Klaus Hulek, Christian Lehn
We introduce the notion of a combinatorial K3 surface. Those form a certain class of type III semistable K3 surfaces and are completely determined by combinatorial data called curv…
Exceptional Tannaka groups only arise from cubic threefolds
Thomas Krämer, Christian Lehn, Marco Maculan
We show that under mild assumptions, the Fano surfaces of lines on smooth cubic threefolds are the only smooth subvarieties of abelian varieties whose Tannaka group for the convolu…