Pseudolattices, del Pezzo surfaces, and Lefschetz fibrations
Andrew Harder
Alan Thompson
2134/9170963.v1
https://repository.lboro.ac.uk/articles/journal_contribution/Pseudolattices_del_Pezzo_surfaces_and_Lefschetz_fibrations/9170963
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.
2019-08-06 08:23:33
math.AG
math.SG
18F30, 14J26, 14D05, 57R17, 53D37