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Del Pezzo surfaces with 1/3(1, 1) points
journal contribution
posted on 2020-02-14, 12:14 authored by Alessio Corti, Liana HeubergerWe classify non-smooth del Pezzo surfaces with 1/3(1, 1) points in 29 qG-deformation families grouped into six unprojection cascades (this overlaps with work of Fujita and Yasutake in Classification of log del Pezzo surfaces of index three, arXiv:1401.1283 [math.AG]), we tabulate their biregular invariants, we give good model constructions for surfaces in all families as degeneracy loci in rep quotient varieties, and we prove that precisely 26 families admit qG-degenerations to toric surfaces. This work is part of a program to study mirror symmetry for orbifold del Pezzo surfaces (Akhtar et al. in Proc Am Math Soc 144(2):513–527, 2016).
History
School
- Science
Department
- Mathematical Sciences
Published in
Manuscripta MathematicaVolume
153Issue
1-2Pages
71 - 118Publisher
Springer Science and Business Media LLCVersion
- AM (Accepted Manuscript)
Rights holder
© Springer-Verlag Berlin HeidelbergPublisher statement
This is a post-peer-review, pre-copyedit version of an article published in Manuscripta Mathematica. The final authenticated version is available online at: https://doi.org/10.1007/s00229-016-0870-y.Acceptance date
2016-07-05Publication date
2016-07-21Copyright date
2016ISSN
0025-2611eISSN
1432-1785Publisher version
Language
- en
Depositor
Dr Liana Heuberger. Deposit date: 13 February 2020Usage metrics
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