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Del Pezzo surfaces with 1/3(1, 1) points

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posted on 14.02.2020, 12:14 authored by Alessio Corti, Liana Heuberger
We 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 Mathematica

Volume

153

Issue

1-2

Pages

71 - 118

Publisher

Springer Science and Business Media LLC

Version

AM (Accepted Manuscript)

Rights holder

© Springer-Verlag Berlin Heidelberg

Publisher 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

05/07/2016

Publication date

2016-07-21

Copyright date

2016

ISSN

0025-2611

eISSN

1432-1785

Language

en

Depositor

Dr Liana Heuberger. Deposit date: 13 February 2020

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