- CiteKey: “AT17” - Type: report - Title: “ADE surfaces and their moduli,” - Author: “Alexeev, Valery; Thompson, Alan;” - Publisher: “arXiv,” - Year: 2019 - Collections: “Affine Dynkin Project,”
ADE surfaces and their moduli
Meta
- URL: http://arxiv.org/abs/1712.07932
- URI: http://zotero.org/users/1049732/items/AC4JYFLJ
- Open in Zotero: Zotero
Abstract
We 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.
Extracted Annotations
Annotations(5/30/2022, 8:29:04 PM)
- Defining the moduli space of (weighted) stable curves
File:AT17_HS9VRP3I.png (Alexeev and Thompson, 2019, p. 2)
- Context (some motivating results)
File:AT17_WSSMNSQN.png (Alexeev and Thompson, 2019, p. 2)
- Main result of this paper.
File:AT17_EYEZ8H4F.png (Alexeev and Thompson, 2019, p. 2)
- Definition of surface pairs.
File:AT17_TVNDPLQE.png (Alexeev and Thompson, 2019, p. 2)
- Details of main results
File:AT17_P8I3BGT9.png (Alexeev and Thompson, 2019, p. 2)
