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ADE surfaces and their moduli
journal contribution
posted on 2020-02-10, 11:05 authored by Valery Alexeev, Alan ThompsonAlan ThompsonWe define a class of surfaces corresponding to the ADE root lattices and
construct compactifications of their moduli spaces as quotients of projective
varieties for Coxeter fans, generalizing Losev-Manin spaces of curves. We
exhibit modular families over these moduli spaces, which extend to families of
stable pairs over the compactifications. One simple application is a geometric
compactification of the moduli of rational elliptic surfaces that is a finite
quotient of a projective toric variety.
Funding
NSF under DMS-1603604 and DMS-1902157
History
School
- Science
Department
- Mathematical Sciences
Published in
Journal of Algebraic GeometryVolume
30Pages
331 - 405Publisher
American Mathematical Society with University PressVersion
- AM (Accepted Manuscript)
Rights holder
© American Mathematical SocietyPublisher statement
First published in the Journal of Algebraic Geometry in [volume and number, year], published by American Mathematical Society. © 2020 American Mathematical Society.Acceptance date
2020-02-06Publication date
2020-11-19Copyright date
2020Notes
A streamlined and expanded versionISSN
1056-3911eISSN
1534-7486Publisher version
Language
- en
Depositor
Dr Alan Thompson Deposit date: 10 February 2020Usage metrics
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