%0 DATA
%A Andrew, Harder
%A Alan, Thompson
%D 2019
%T Pseudolattices, del Pezzo surfaces, and Lefschetz fibrations
%U https://repository.lboro.ac.uk/articles/journal_contribution/Pseudolattices_del_Pezzo_surfaces_and_Lefschetz_fibrations/9170963
%2 https://repository.lboro.ac.uk/ndownloader/files/16710179
%K math.AG
%K math.SG
%K 18F30, 14J26, 14D05, 57R17, 53D37
%X Motivated by the relationship between numerical Grothendieck groups induced
by the embedding of a smooth anticanonical elliptic curve into a del Pezzo
surface, we define the notion of a quasi del Pezzo homomorphism between
pseudolattices and establish its basic properties. The primary aim of the paper
is then to prove a classification theorem for quasi del Pezzo homomorphisms,
using a pseudolattice variant of the minimal model program. Finally, this
result is applied to the classification of a certain class of genus one
Lefschetz fibrations over discs.