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Explicit Gromov-Hausdorff compactifications of moduli spaces of Kähler-Einstein Fano manifolds
Publikation: Working paper/Preprint › Working paper › Forskning
Links
- https://arxiv.org/pdf/1705.00377.pdf
Indsendt manuskript
- Cristiano Spotti
- Song Sun
We exhibit the first non-trivial concrete examples of Gromov-Hausdorff compactifications of moduli spaces of Kähler-Einstein Fano manifolds in all complex dimensions bigger than two (Fano K-moduli spaces). We also discuss potential applications to explicit study of moduli spaces of K-stable Fano manifolds with large anti-canonical volume. Our arguments are based on recent progress about the geometry of metric tangent cones and on related ideas about the algebro-geometric study of singularities of K-stable Fano varieties.
| Originalsprog | Engelsk |
|---|---|
| Udgiver | ArXiv |
| Status | Udgivet - 30 apr. 2017 |
- math.DG, math.AG
Forskningsområder
Se relationer på Aarhus Universitet Citationsformater
ID: 119327027