Harder, Andrew Thompson, Alan Pseudolattices, del Pezzo surfaces, and Lefschetz fibrations 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. math.AG;math.SG;18F30, 14J26, 14D05, 57R17, 53D37 2019-08-06
    https://repository.lboro.ac.uk/articles/journal_contribution/Pseudolattices_del_Pezzo_surfaces_and_Lefschetz_fibrations/9170963