Del Pezzo surfaces with 1/3 (1,1) points
File(s)
Accepted version
Author(s)
Corti, A
Heuberger, L
Type
Journal Article
Abstract
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 [15]), 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 [2].
3(1,1) points in 29 qG-deformation families grouped
into six unprojection cascades (this overlaps with work of Fujita and Yasutake [15]), 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 [2].
Date Issued
2016-07-21
Date Acceptance
2016-07-04
Citation
Manuscripta Mathematica, 2016, 153 (1-2), pp.71-118
ISSN
1432-1785
Publisher
Springer Verlag (Germany)
Start Page
71
End Page
118
Journal / Book Title
Manuscripta Mathematica
Volume
153
Issue
1-2
Copyright Statement
© Springer-Verlag Berlin Heidelberg 2016. The final publication is available at Springer via https://link.springer.com/article/10.1007%2Fs00229-016-0870-y
Sponsor
Engineering & Physical Science Research Council (EPSRC)
Engineering & Physical Science Research Council (EPSRC)
Grant Number
EP/G06170X/1
EP/I008128/1
Subjects
Science & Technology
Physical Sciences
Mathematics
DELIGNE-MUMFORD STACKS
QUANTUM RIEMANN-ROCH
SINGULARITIES
CLASSIFICATION
LEFSCHETZ
SERRE
math.AG
14E30, 14J10, 14J33
0101 Pure Mathematics
General Mathematics
Publication Status
Published