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Pseudolattices, del Pezzo surfaces, and Lefschetz fibrations
journal contribution
posted on 2019-08-06, 08:23 authored by Andrew Harder, Alan ThompsonAlan ThompsonMotivated 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.
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School
- Science
Department
- Mathematical Sciences
Published in
Transactions of the American Mathematical SocietyVolume
373Issue
3Pages
2071 - 2104Publisher
American Mathematical SocietyVersion
- AM (Accepted Manuscript)
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© American Mathematical SocietyPublisher statement
First published in Transactions of the American Mathematical Society 373 (March 2020), published by the American Mathematical Society. © 2019 American Mathematical Society.Acceptance date
2019-07-29Publication date
2019-09-25Copyright date
2019ISSN
0002-9947eISSN
1088-6850Publisher version
Language
- en
Depositor
Dr Alan ThompsonUsage metrics
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