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math.AG2025
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…
math.AG2025
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…
math.AG2025
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…